[{"month":"07","day":"01","conference":{"name":"SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques"},"doi":"10.1145/1179849.1180059","date_published":"2006-07-01T00:00:00Z","citation":{"chicago":"Bickel, Bernd, Tim Weyrich, Wojciech Matusik, Hanspeter Pfister, Craig Donner, Chien Tu, Janet Mcandless, et al. “Processing and Editing of Faces Using a Measurement-Based Skin Reflectance Model.” ACM, 2006. https://doi.org/10.1145/1179849.1180059.","short":"B. Bickel, T. Weyrich, W. Matusik, H. Pfister, C. Donner, C. Tu, J. Mcandless, J. Lee, A. Ngan, H. Jensen, M. Groß, in:, ACM, 2006.","mla":"Bickel, Bernd, et al. Processing and Editing of Faces Using a Measurement-Based Skin Reflectance Model. ACM, 2006, doi:10.1145/1179849.1180059.","apa":"Bickel, B., Weyrich, T., Matusik, W., Pfister, H., Donner, C., Tu, C., … Groß, M. (2006). Processing and editing of faces using a measurement-based skin reflectance model. Presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, ACM. https://doi.org/10.1145/1179849.1180059","ieee":"B. Bickel et al., “Processing and editing of faces using a measurement-based skin reflectance model,” presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, 2006.","ista":"Bickel B, Weyrich T, Matusik W, Pfister H, Donner C, Tu C, Mcandless J, Lee J, Ngan A, Jensen H, Groß M. 2006. Processing and editing of faces using a measurement-based skin reflectance model. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques.","ama":"Bickel B, Weyrich T, Matusik W, et al. Processing and editing of faces using a measurement-based skin reflectance model. In: ACM; 2006. doi:10.1145/1179849.1180059"},"quality_controlled":0,"publist_id":"4945","extern":1,"type":"conference","author":[{"first_name":"Bernd","last_name":"Bickel","id":"49876194-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6511-9385","full_name":"Bernd Bickel"},{"full_name":"Weyrich, Tim","last_name":"Weyrich","first_name":"Tim"},{"full_name":"Matusik, Wojciech","last_name":"Matusik","first_name":"Wojciech"},{"last_name":"Pfister","first_name":"Hanspeter","full_name":"Pfister, Hanspeter"},{"first_name":"Craig","last_name":"Donner","full_name":"Donner, Craig"},{"last_name":"Tu","first_name":"Chien","full_name":"Tu, Chien"},{"last_name":"Mcandless","first_name":"Janet","full_name":"McAndless, Janet M"},{"full_name":"Lee, Jinho","last_name":"Lee","first_name":"Jinho"},{"first_name":"Addy","last_name":"Ngan","full_name":"Ngan, Addy"},{"last_name":"Jensen","first_name":"Henrik","full_name":"Jensen, Henrik W"},{"first_name":"Markus","last_name":"Groß","full_name":"Groß, Markus S"}],"date_updated":"2021-01-12T06:55:15Z","date_created":"2018-12-11T11:55:39Z","_id":"2090","year":"2006","status":"public","title":"Processing and editing of faces using a measurement-based skin reflectance model","publication_status":"published","publisher":"ACM"},{"type":"journal_article","issue":"6","publist_id":"4900","abstract":[{"lang":"eng","text":"Predissociation of the N+2 C 2Σ+u(v') vibrational levels with v' ≥ 3 was observed via dispersed C 2Σ+u → X 2Σ+g fluorescence in the spectral range of 165–208 nm after resonant 1s−1π*(vr) excitation of N2 and its subsequent autoionization into the N+2 C state. This range is dominated by lines in atomic nitrogen, by overlapped C 2Σ+u(v') → X 2Σ+g(v'') vibrational band sequences with Δv = const and broad unresolved band systems (D, (2))2Πg(v') → A2Πu(v'') in the N+2 molecular ion. With very high fluorescence resolution of about 0.1 nm FWHM individual C 2Σ+u(v') → X 2Σ+g(v'') vibrational bands have been resolved. Calculation of the observed fluorescence spectra by taking into account predissociation and molecular rotation describes well the shape of both individual vibrational bands C 2Σ+u(v') → X 2Σ+g(v'') and the whole band system."}],"extern":1,"year":"2006","_id":"2134","acknowledgement":"This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the Bundesministerium für Bildung und Forschung (BMBF) (Förderkennzeichen 05 ES3XBA/5 and IB/DLR RUS 02/037). The cooperation between the groups at the universities of Kaiserslautern and Rostov-on-Don was supported by the Alexander-von-Humboldt Foundation within the framework of an institute partnership with funds from BMBF","publisher":"IOP Publishing Ltd.","intvolume":" 39","title":"Predissociation of the N+2(C 2Σ+u) state observed via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule","status":"public","publication_status":"published","author":[{"full_name":"Ehresmann, Arno","last_name":"Ehresmann","first_name":"Arno"},{"last_name":"Werner","first_name":"Lutz","full_name":"Werner, Lutz"},{"last_name":"Klumpp","first_name":"Stefan","full_name":"Klumpp, Stefan"},{"full_name":"Demekhin, Ph V","first_name":"Ph","last_name":"Demekhin"},{"last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Mikhail Lemeshko"},{"last_name":"Sukhorukov","first_name":"V.","full_name":"Sukhorukov, V. L"},{"full_name":"Schartner, Karl H","last_name":"Schartner","first_name":"Karl"},{"full_name":"Schmoranzer, Hans P","first_name":"Hans","last_name":"Schmoranzer"}],"volume":39,"date_updated":"2021-01-12T06:55:31Z","date_created":"2018-12-11T11:55:54Z","month":"03","day":"28","citation":{"apa":"Ehresmann, A., Werner, L., Klumpp, S., Demekhin, P., Lemeshko, M., Sukhorukov, V., … Schmoranzer, H. (2006). Predissociation of the N+2(C 2Σ+u) state observed via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule. Journal of Physics B: Atomic, Molecular and Optical Physics. IOP Publishing Ltd. https://doi.org/10.1088/0953-4075/39/6/L03","ieee":"A. Ehresmann et al., “Predissociation of the N+2(C 2Σ+u) state observed via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 39, no. 6. IOP Publishing Ltd., pp. L119–L126, 2006.","ista":"Ehresmann A, Werner L, Klumpp S, Demekhin P, Lemeshko M, Sukhorukov V, Schartner K, Schmoranzer H. 2006. Predissociation of the N+2(C 2Σ+u) state observed via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule. Journal of Physics B: Atomic, Molecular and Optical Physics. 39(6), L119–L126.","ama":"Ehresmann A, Werner L, Klumpp S, et al. Predissociation of the N+2(C 2Σ+u) state observed via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule. Journal of Physics B: Atomic, Molecular and Optical Physics. 2006;39(6):L119-L126. doi:10.1088/0953-4075/39/6/L03","chicago":"Ehresmann, Arno, Lutz Werner, Stefan Klumpp, Ph Demekhin, Mikhail Lemeshko, V. Sukhorukov, Karl Schartner, and Hans Schmoranzer. “Predissociation of the N+2(C 2Σ+u) State Observed via C 2Σ+u → X 2Σ+g Fluorescence after Resonant 1s−1π* Excitation of N2 Molecule.” Journal of Physics B: Atomic, Molecular and Optical Physics. IOP Publishing Ltd., 2006. https://doi.org/10.1088/0953-4075/39/6/L03.","short":"A. Ehresmann, L. Werner, S. Klumpp, P. Demekhin, M. Lemeshko, V. Sukhorukov, K. Schartner, H. Schmoranzer, Journal of Physics B: Atomic, Molecular and Optical Physics 39 (2006) L119–L126.","mla":"Ehresmann, Arno, et al. “Predissociation of the N+2(C 2Σ+u) State Observed via C 2Σ+u → X 2Σ+g Fluorescence after Resonant 1s−1π* Excitation of N2 Molecule.” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 39, no. 6, IOP Publishing Ltd., 2006, pp. L119–26, doi:10.1088/0953-4075/39/6/L03."},"publication":"Journal of Physics B: Atomic, Molecular and Optical Physics","page":"L119 - L126","quality_controlled":0,"doi":"10.1088/0953-4075/39/6/L03","date_published":"2006-03-28T00:00:00Z"},{"_id":"213","year":"2006","acknowledgement":"EPSRC grant number GR/R93155/01","intvolume":" 93","publisher":"John Wiley and Sons Ltd","publication_status":"published","title":"The density of rational points on non-singular hypersurfaces, II","status":"public","author":[{"last_name":"Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning"},{"full_name":"Heath-Brown, Roger","first_name":"Roger","last_name":"Heath Brown"},{"full_name":"Starr, Jason M","first_name":"Jason","last_name":"Starr"}],"volume":93,"date_created":"2018-12-11T11:45:14Z","date_updated":"2021-01-12T06:55:29Z","type":"journal_article","publist_id":"7698","issue":"2","abstract":[{"lang":"eng","text":"For any integers d,n ≥2, let X ⊂ Pn be a non‐singular hypersurface of degree d that is defined over the rational numbers. The main result in this paper is a proof that the number of rational points on X which have height at most B is O(Bn − 1 + ɛ), for any ɛ > 0. The implied constant in this estimate depends at most upon d, ɛ and n. 2000 Mathematics Subject Classification 11D45 (primary), 11G35, 14G05 (secondary)."}],"extern":1,"citation":{"mla":"Browning, Timothy D., et al. “The Density of Rational Points on Non-Singular Hypersurfaces, II.” Proceedings of the London Mathematical Society, vol. 93, no. 2, John Wiley and Sons Ltd, 2006, pp. 273–303, doi:https://doi.org/10.1112/S0024611506015784.","short":"T.D. Browning, R. Heath Brown, J. Starr, Proceedings of the London Mathematical Society 93 (2006) 273–303.","chicago":"Browning, Timothy D, Roger Heath Brown, and Jason Starr. “The Density of Rational Points on Non-Singular Hypersurfaces, II.” Proceedings of the London Mathematical Society. John Wiley and Sons Ltd, 2006. https://doi.org/10.1112/S0024611506015784.","ama":"Browning TD, Heath Brown R, Starr J. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 2006;93(2):273-303. doi:https://doi.org/10.1112/S0024611506015784","ista":"Browning TD, Heath Brown R, Starr J. 2006. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 93(2), 273–303.","ieee":"T. D. Browning, R. Heath Brown, and J. Starr, “The density of rational points on non-singular hypersurfaces, II,” Proceedings of the London Mathematical Society, vol. 93, no. 2. John Wiley and Sons Ltd, pp. 273–303, 2006.","apa":"Browning, T. D., Heath Brown, R., & Starr, J. (2006). The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024611506015784"},"publication":"Proceedings of the London Mathematical Society","page":"273 - 303","quality_controlled":0,"date_published":"2006-09-01T00:00:00Z","doi":"https://doi.org/10.1112/S0024611506015784","month":"09","day":"01"},{"intvolume":" 73","publisher":"American Physical Society","publication_status":"published","title":"Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates","status":"public","_id":"2144","acknowledgement":"The studies were supported by the Russian Ministry of Science and Education Grant No. R662. E.N. acknowledges partial support from the French Government *CNOUS.","year":"2006","volume":73,"date_updated":"2021-01-12T06:55:34Z","date_created":"2018-12-11T11:55:58Z","author":[{"full_name":"Vedrinskiǐ, Rostislav V","last_name":"Vedrinskiǐ","first_name":"Rostislav"},{"full_name":"Nazarenko, Elena S","first_name":"Elena","last_name":"Nazarenko"},{"full_name":"Mikhail Lemeshko","first_name":"Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802"},{"last_name":"Nassif","first_name":"Vivian","full_name":"Nassif, Vivian M"},{"last_name":"Proux","first_name":"Olivier","full_name":"Proux, Olivier"},{"full_name":"Novakovich, Alexander A","first_name":"Alexander","last_name":"Novakovich"},{"last_name":"Joly","first_name":"Yves","full_name":"Joly, Yves"}],"type":"journal_article","extern":1,"publist_id":"4881","issue":"13","abstract":[{"text":"Temperature dependent preedge and extended x-ray absorption fine structure measurements at the Zr K edge for the perovskite-type zirconates Pb Zr0.515 Ti0.485 O3 (PZT), PbZr O3 (PZ), and BaZr O3 are performed. To carry out a more accurate study of the weak reconstruction of the local atomic structure we employed a combination of two techniques: (i) analysis of the preedge fine structure, and (ii) analysis of the Fourier transform of the difference between χ (k) functions obtained at different temperatures. A detailed investigation of local atomic structure in the cubic phase for all the crystals is also performed. It is shown that neither the displacive nor the order-disorder model can describe correctly the changes of local atomic structure during phase transitions in PZ and PZT. A spherical model describing the local atomic structure of perovskite-type crystals suffering structural phase transitions is proposed.","lang":"eng"}],"quality_controlled":0,"citation":{"apa":"Vedrinskiǐ, R., Nazarenko, E., Lemeshko, M., Nassif, V., Proux, O., Novakovich, A., & Joly, Y. (2006). Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates. Physical Review B - Condensed Matter and Materials Physics. American Physical Society. https://doi.org/10.1103/PhysRevB.73.134109","ieee":"R. Vedrinskiǐ et al., “Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates,” Physical Review B - Condensed Matter and Materials Physics, vol. 73, no. 13. American Physical Society, 2006.","ista":"Vedrinskiǐ R, Nazarenko E, Lemeshko M, Nassif V, Proux O, Novakovich A, Joly Y. 2006. Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates. Physical Review B - Condensed Matter and Materials Physics. 73(13).","ama":"Vedrinskiǐ R, Nazarenko E, Lemeshko M, et al. Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates. Physical Review B - Condensed Matter and Materials Physics. 2006;73(13). doi:10.1103/PhysRevB.73.134109","chicago":"Vedrinskiǐ, Rostislav, Elena Nazarenko, Mikhail Lemeshko, Vivian Nassif, Olivier Proux, Alexander Novakovich, and Yves Joly. “Temperature Dependent XAFS Studies of Local Atomic Structure of the Perovskite-Type Zirconates.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2006. https://doi.org/10.1103/PhysRevB.73.134109.","short":"R. Vedrinskiǐ, E. Nazarenko, M. Lemeshko, V. Nassif, O. Proux, A. Novakovich, Y. Joly, Physical Review B - Condensed Matter and Materials Physics 73 (2006).","mla":"Vedrinskiǐ, Rostislav, et al. “Temperature Dependent XAFS Studies of Local Atomic Structure of the Perovskite-Type Zirconates.” Physical Review B - Condensed Matter and Materials Physics, vol. 73, no. 13, American Physical Society, 2006, doi:10.1103/PhysRevB.73.134109."},"publication":"Physical Review B - Condensed Matter and Materials Physics","doi":"10.1103/PhysRevB.73.134109","date_published":"2006-04-17T00:00:00Z","day":"17","month":"04"},{"author":[{"full_name":"Ehresmann, Arno","last_name":"Ehresmann","first_name":"Arno"},{"full_name":"Werner, Lutz","last_name":"Werner","first_name":"Lutz"},{"last_name":"Klumpp","first_name":"Stefan","full_name":"Klumpp, Stefan"},{"full_name":"Lucht, S","first_name":"S","last_name":"Lucht"},{"last_name":"Schmoranzer","first_name":"Hans","full_name":"Schmoranzer, Hans P"},{"full_name":"Mickat, Sascha","first_name":"Sascha","last_name":"Mickat"},{"full_name":"Schill, Rüdiger H","last_name":"Schill","first_name":"Rüdiger"},{"last_name":"Schartner","first_name":"Karl","full_name":"Schartner, Karl H"},{"last_name":"Demekhin","first_name":"Philipp","full_name":"Demekhin, Philipp"},{"full_name":"Mikhail Lemeshko","last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Sukhorukov, Victor L","last_name":"Sukhorukov","first_name":"Victor"}],"volume":39,"date_created":"2018-12-11T11:55:57Z","date_updated":"2021-01-12T06:55:34Z","year":"2006","_id":"2142","publisher":"IOP Publishing Ltd.","intvolume":" 39","publication_status":"published","status":"public","title":"Studying the N+2(C2Σ+u → X2Σ+g) fluorescence excited via the 1s−1π* resonance","publist_id":"4882","issue":"2","abstract":[{"lang":"eng","text":"Fluorescence from fragments formed after the de-excitation of the N*2(1s−1π*) resonance has been measured in the spectral range of 135–190 nm. This range is dominated by lines in atomic nitrogen and lines formed by overlapping C2Σ+u(v') → X2Σ+g(v'') bands with Δv = const in the N+2 molecular ion which result from the spectator Auger decays of the N*2(1s−1π*(vr)) resonances. Ab initio calculations of the corresponding potential curves and transition probabilities showed that the observed irregular intensity dependence of the C2Σ+u(v') → X2Σ+g(v'')(Δv = const) fluorescence lines on the vibrational quantum number vr is due to transitions between vibrational levels during the reaction N2(v0 = 0)→ N*2(1s−1π*(vr)) Longrightarrow C2Σ+u(v') → X2Σ+g(v'')."}],"extern":1,"type":"journal_article","doi":"10.1088/0953-4075/39/2/006","date_published":"2006-01-28T00:00:00Z","citation":{"ista":"Ehresmann A, Werner L, Klumpp S, Lucht S, Schmoranzer H, Mickat S, Schill R, Schartner K, Demekhin P, Lemeshko M, Sukhorukov V. 2006. Studying the N+2(C2Σ+u → X2Σ+g) fluorescence excited via the 1s−1π* resonance. Journal of Physics B: Atomic, Molecular and Optical Physics. 39(2), 283–304.","ieee":"A. Ehresmann et al., “Studying the N+2(C2Σ+u → X2Σ+g) fluorescence excited via the 1s−1π* resonance,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 39, no. 2. IOP Publishing Ltd., pp. 283–304, 2006.","apa":"Ehresmann, A., Werner, L., Klumpp, S., Lucht, S., Schmoranzer, H., Mickat, S., … Sukhorukov, V. (2006). Studying the N+2(C2Σ+u → X2Σ+g) fluorescence excited via the 1s−1π* resonance. Journal of Physics B: Atomic, Molecular and Optical Physics. IOP Publishing Ltd. https://doi.org/10.1088/0953-4075/39/2/006","ama":"Ehresmann A, Werner L, Klumpp S, et al. Studying the N+2(C2Σ+u → X2Σ+g) fluorescence excited via the 1s−1π* resonance. Journal of Physics B: Atomic, Molecular and Optical Physics. 2006;39(2):283-304. doi:10.1088/0953-4075/39/2/006","chicago":"Ehresmann, Arno, Lutz Werner, Stefan Klumpp, S Lucht, Hans Schmoranzer, Sascha Mickat, Rüdiger Schill, et al. “Studying the N+2(C2Σ+u → X2Σ+g) Fluorescence Excited via the 1s−1π* Resonance.” Journal of Physics B: Atomic, Molecular and Optical Physics. IOP Publishing Ltd., 2006. https://doi.org/10.1088/0953-4075/39/2/006.","mla":"Ehresmann, Arno, et al. “Studying the N+2(C2Σ+u → X2Σ+g) Fluorescence Excited via the 1s−1π* Resonance.” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 39, no. 2, IOP Publishing Ltd., 2006, pp. 283–304, doi:10.1088/0953-4075/39/2/006.","short":"A. Ehresmann, L. Werner, S. Klumpp, S. Lucht, H. Schmoranzer, S. Mickat, R. Schill, K. Schartner, P. Demekhin, M. Lemeshko, V. Sukhorukov, Journal of Physics B: Atomic, Molecular and Optical Physics 39 (2006) 283–304."},"publication":"Journal of Physics B: Atomic, Molecular and Optical Physics","page":"283 - 304","quality_controlled":0,"day":"28","month":"01"},{"doi":"10.1112/S0024609305018412","date_published":"2006-12-23T00:00:00Z","quality_controlled":0,"page":"401 - 410","publication":"Bulletin of the London Mathematical Society","citation":{"ista":"Browning TD, Heath Brown R. 2006. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 38(3), 401–410.","ieee":"T. D. Browning and R. Heath Brown, “The density of rational points on non-singular hypersurfaces, I,” Bulletin of the London Mathematical Society, vol. 38, no. 3. Wiley-Blackwell, pp. 401–410, 2006.","apa":"Browning, T. D., & Heath Brown, R. (2006). The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. Wiley-Blackwell. https://doi.org/10.1112/S0024609305018412","ama":"Browning TD, Heath Brown R. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 2006;38(3):401-410. doi:10.1112/S0024609305018412","chicago":"Browning, Timothy D, and Roger Heath Brown. “The Density of Rational Points on Non-Singular Hypersurfaces, I.” Bulletin of the London Mathematical Society. Wiley-Blackwell, 2006. https://doi.org/10.1112/S0024609305018412.","mla":"Browning, Timothy D., and Roger Heath Brown. “The Density of Rational Points on Non-Singular Hypersurfaces, I.” Bulletin of the London Mathematical Society, vol. 38, no. 3, Wiley-Blackwell, 2006, pp. 401–10, doi:10.1112/S0024609305018412.","short":"T.D. Browning, R. Heath Brown, Bulletin of the London Mathematical Society 38 (2006) 401–410."},"day":"23","month":"12","date_created":"2018-12-11T11:45:15Z","date_updated":"2021-01-12T06:55:36Z","volume":38,"author":[{"last_name":"Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning"},{"first_name":"Roger","last_name":"Heath Brown","full_name":"Heath-Brown, Roger"}],"publication_status":"published","status":"public","title":"The density of rational points on non-singular hypersurfaces, I","publisher":"Wiley-Blackwell","intvolume":" 38","year":"2006","_id":"215","extern":1,"abstract":[{"lang":"eng","text":"For any n≥3, let F ∈ Z[X0,...,Xn ] be a form of degree d *≥5 that defines a non-singular hypersurface X ⊂ Pn . The main result in this paper is a proof of the fact that the number N (F ; B) of Q-rational points on X which have height at most B satisfiesN (F ; B) = Od,ε,n (Bn −1+ε ), for any ε > 0. The implied constant in this estimate depends at most upon d, ε and n. New estimates are also obtained for the number of representations of a positive integer as the sum of three dth powers, and for the paucity of integer solutions to equal sums of like polynomials.*"}],"issue":"3","publist_id":"7697","type":"journal_article"},{"month":"04","day":"15","citation":{"short":"T.D. Browning, R. Heath Brown, P. Salberger, Duke Mathematical Journal 132 (2006) 545–578.","mla":"Browning, Timothy D., et al. “Counting Rational Points on Algebraic Varieties.” Duke Mathematical Journal, vol. 132, no. 3, Unknown, 2006, pp. 545–78, doi:10.1215/S0012-7094-06-13236-2.","chicago":"Browning, Timothy D, Roger Heath Brown, and Per Salberger. “Counting Rational Points on Algebraic Varieties.” Duke Mathematical Journal. Unknown, 2006. https://doi.org/10.1215/S0012-7094-06-13236-2.","ama":"Browning TD, Heath Brown R, Salberger P. Counting rational points on algebraic varieties. Duke Mathematical Journal. 2006;132(3):545-578. doi:10.1215/S0012-7094-06-13236-2","apa":"Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational points on algebraic varieties. Duke Mathematical Journal. Unknown. https://doi.org/10.1215/S0012-7094-06-13236-2","ieee":"T. D. Browning, R. Heath Brown, and P. Salberger, “Counting rational points on algebraic varieties,” Duke Mathematical Journal, vol. 132, no. 3. Unknown, pp. 545–578, 2006.","ista":"Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578."},"publication":"Duke Mathematical Journal","page":"545 - 578","quality_controlled":0,"date_published":"2006-04-15T00:00:00Z","doi":"10.1215/S0012-7094-06-13236-2","type":"journal_article","issue":"3","publist_id":"7696","abstract":[{"lang":"eng","text":"For any N ≥ 2, let Z ⊂ ℙN be a geometrically integral algebraic variety of degree d. This article is concerned with the number Nz(B) of ℚ-rational points on Z which have height at most B. For any ε > 0, we establish the estimate NZ(B) = O d,ε,N(Bdim Z+ε), provided that d ≥ 6. As indicated, the implied constant depends at most on d, ε, and N."}],"extern":1,"_id":"216","year":"2006","intvolume":" 132","publisher":"Unknown","title":"Counting rational points on algebraic varieties","status":"public","publication_status":"published","author":[{"first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Timothy Browning"},{"full_name":"Heath-Brown, Roger","first_name":"Roger","last_name":"Heath Brown"},{"full_name":"Salberger, Per","last_name":"Salberger","first_name":"Per"}],"volume":132,"date_created":"2018-12-11T11:45:15Z","date_updated":"2021-01-12T06:55:41Z"},{"day":"01","month":"01","date_published":"2006-01-01T00:00:00Z","doi":"10.4064/aa125-3-6","publication":"Acta Arithmetica","citation":{"ama":"De La Bretèche R, Browning TD. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 2006;125(3):291-304. doi:10.4064/aa125-3-6","ista":"De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304.","apa":"De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa125-3-6","ieee":"R. De La Bretèche and T. D. Browning, “Sums of arithmetic functions over values of binary forms,” Acta Arithmetica, vol. 125, no. 3. Instytut Matematyczny, pp. 291–304, 2006.","mla":"De La Bretèche, Régis, and Timothy D. Browning. “Sums of Arithmetic Functions over Values of Binary Forms.” Acta Arithmetica, vol. 125, no. 3, Instytut Matematyczny, 2006, pp. 291–304, doi:10.4064/aa125-3-6.","short":"R. De La Bretèche, T.D. Browning, Acta Arithmetica 125 (2006) 291–304.","chicago":"De La Bretèche, Régis, and Timothy D Browning. “Sums of Arithmetic Functions over Values of Binary Forms.” Acta Arithmetica. Instytut Matematyczny, 2006. https://doi.org/10.4064/aa125-3-6."},"quality_controlled":0,"page":"291 - 304","abstract":[{"lang":"eng","text":"This paper is concerned with the average order of certain arithmetic functions, as they range over the values taken by binary forms."}],"publist_id":"7694","issue":"3","extern":1,"type":"journal_article","author":[{"full_name":"de la Bretèche, Régis","first_name":"Régis","last_name":"De La Bretèche"},{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D","full_name":"Timothy Browning"}],"date_created":"2018-12-11T11:45:16Z","date_updated":"2021-01-12T06:55:49Z","volume":125,"year":"2006","_id":"218","status":"public","title":"Sums of arithmetic functions over values of binary forms","publication_status":"published","publisher":"Instytut Matematyczny","intvolume":" 125"},{"month":"01","day":"01","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0507049","open_access":"1"}],"citation":{"ieee":"É. Lieb, R. Seiringer, and J. Solovej, “Ground-state energy of a dilute Fermi gas,” presented at the Differential Equations and Mathematical Physics, 2006, vol. 412, pp. 239–248.","apa":"Lieb, É., Seiringer, R., & Solovej, J. (2006). Ground-state energy of a dilute Fermi gas (Vol. 412, pp. 239–248). Presented at the Differential Equations and Mathematical Physics, American Mathematical Society. https://doi.org/10.1090/conm/412","ista":"Lieb É, Seiringer R, Solovej J. 2006. Ground-state energy of a dilute Fermi gas. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 412, 239–248.","ama":"Lieb É, Seiringer R, Solovej J. Ground-state energy of a dilute Fermi gas. In: Vol 412. American Mathematical Society; 2006:239-248. doi:10.1090/conm/412","chicago":"Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground-State Energy of a Dilute Fermi Gas,” 412:239–48. American Mathematical Society, 2006. https://doi.org/10.1090/conm/412.","short":"É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.","mla":"Lieb, Élliott, et al. Ground-State Energy of a Dilute Fermi Gas. Vol. 412, American Mathematical Society, 2006, pp. 239–48, doi:10.1090/conm/412."},"oa":1,"page":"239 - 248","quality_controlled":0,"date_published":"2006-01-01T00:00:00Z","doi":"10.1090/conm/412","conference":{"name":"Differential Equations and Mathematical Physics"},"type":"conference","alternative_title":["Contemporary Mathematics"],"publist_id":"4593","extern":1,"year":"2006","_id":"2333","publisher":"American Mathematical Society","intvolume":" 412","title":"Ground-state energy of a dilute Fermi gas","publication_status":"published","status":"public","author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"full_name":"Solovej, Jan P","last_name":"Solovej","first_name":"Jan"}],"volume":412,"date_created":"2018-12-11T11:57:03Z","date_updated":"2021-01-12T06:56:51Z"},{"author":[{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"first_name":"Jakob","last_name":"Yngvason","full_name":"Yngvason, Jakob"}],"date_created":"2018-12-11T11:57:03Z","date_updated":"2021-01-12T06:56:51Z","_id":"2334","year":"2006","publisher":"World Scientific Publishing","editor":[{"full_name":"Zambrini, Jean-Claude","first_name":"Jean","last_name":"Zambrini"}],"title":"One-dimensional behavior of dilute, trapped Bose gases in traps","publication_status":"published","status":"public","publist_id":"4592","extern":1,"type":"conference","doi":"10.1007/s00220-003-0993-3","date_published":"2006-03-07T00:00:00Z","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0305025"}],"citation":{"ista":"Seiringer R, Lieb É, Yngvason J. 2006. One-dimensional behavior of dilute, trapped Bose gases in traps. ICMP: International Congress on Mathematical Physics.","apa":"Seiringer, R., Lieb, É., & Yngvason, J. (2006). One-dimensional behavior of dilute, trapped Bose gases in traps. In J. Zambrini (Ed.). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1007/s00220-003-0993-3","ieee":"R. Seiringer, É. Lieb, and J. Yngvason, “One-dimensional behavior of dilute, trapped Bose gases in traps,” presented at the ICMP: International Congress on Mathematical Physics, 2006.","ama":"Seiringer R, Lieb É, Yngvason J. One-dimensional behavior of dilute, trapped Bose gases in traps. In: Zambrini J, ed. World Scientific Publishing; 2006. doi:10.1007/s00220-003-0993-3","chicago":"Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps.” edited by Jean Zambrini. World Scientific Publishing, 2006. https://doi.org/10.1007/s00220-003-0993-3.","mla":"Seiringer, Robert, et al. One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps. Edited by Jean Zambrini, World Scientific Publishing, 2006, doi:10.1007/s00220-003-0993-3.","short":"R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006."},"quality_controlled":0,"month":"03","day":"07"}]