--- _id: '2398' abstract: - lang: eng text: We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time. author: - first_name: Vojkan full_name: Jakšić, Vojkan last_name: Jakšić - first_name: Yoshiko full_name: Ogata, Yoshiko last_name: Ogata - first_name: Claude full_name: Pillet, Claude A last_name: Pillet - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 2012;24(6). doi:10.1142/S0129055X12300026 apa: Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026 chicago: Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026. ieee: V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics, vol. 24, no. 6. World Scientific Publishing, 2012. ista: Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6). mla: Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific Publishing, 2012, doi:10.1142/S0129055X12300026. short: V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012). date_created: 2018-12-11T11:57:26Z date_published: 2012-07-01T00:00:00Z date_updated: 2020-07-14T12:45:40Z day: '01' doi: 10.1142/S0129055X12300026 extern: 1 intvolume: ' 24' issue: '6' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1109.3804 month: '07' oa: 1 publication: Reviews in Mathematical Physics publication_status: published publisher: World Scientific Publishing publist_id: '4528' quality_controlled: 0 status: public title: Quantum hypothesis testing and non-equilibrium statistical mechanics type: review volume: 24 year: '2012' ... --- _id: '2397' abstract: - lang: eng text: We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs. author: - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 2012;100(2):119-138. doi:10.1007/s11005-011-0535-4 apa: Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-011-0535-4 chicago: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4. ieee: C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100, no. 2. Springer, pp. 119–138, 2012. ista: Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138. mla: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4. short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138. date_created: 2018-12-11T11:57:25Z date_published: 2012-05-01T00:00:00Z date_updated: 2021-01-12T06:57:14Z day: '01' doi: 10.1007/s11005-011-0535-4 extern: 1 intvolume: ' 100' issue: '2' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1105.1100 month: '05' oa: 1 page: 119 - 138 publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '4530' quality_controlled: 0 status: public title: Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs type: journal_article volume: 100 year: '2012' ... --- _id: '240' abstract: - lang: eng text: We investigate the frequency of positive squareful numbers x, y, z≤B for which x+y=z and present a conjecture concerning its asymptotic behavior. acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council" author: - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: K Van full_name: Valckenborgh, K Van last_name: Valckenborgh citation: ama: Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733 apa: Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733 chicago: Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics. Taylor & Francis, 2012. https://doi.org/10.1080/10586458.2011.605733. ieee: T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211, 2012. ista: Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211. mla: Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.” Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp. 204–11, doi:10.1080/10586458.2011.605733. short: T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211. date_created: 2018-12-11T11:45:23Z date_published: 2012-05-23T00:00:00Z date_updated: 2021-01-12T06:57:15Z day: '23' doi: 10.1080/10586458.2011.605733 extern: 1 intvolume: ' 21' issue: '2' month: '05' page: 204 - 211 publication: Experimental Mathematics publication_status: published publisher: Taylor & Francis publist_id: '7664' quality_controlled: 0 status: public title: Sums of three squareful numbers type: journal_article volume: 21 year: '2012' ... --- _id: '2400' abstract: - lang: eng text: If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2. author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 2012;313(2):405-424. doi:10.1007/s00220-012-1436-9 apa: Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms at threshold. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1436-9 chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1436-9. ieee: R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” Communications in Mathematical Physics, vol. 313, no. 2. Springer, pp. 405–424, 2012. ista: Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424. mla: Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9. short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424. date_created: 2018-12-11T11:57:27Z date_published: 2012-07-01T00:00:00Z date_updated: 2021-01-12T06:57:15Z day: '01' doi: 10.1007/s00220-012-1436-9 extern: 1 intvolume: ' 313' issue: '2' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1106.0729 month: '07' oa: 1 page: 405 - 424 publication: Communications in Mathematical Physics publication_status: published publisher: Springer publist_id: '4527' quality_controlled: 0 status: public title: Binding of polarons and atoms at threshold type: journal_article volume: 313 year: '2012' ... --- _id: '2403' abstract: - lang: eng text: We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose-Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers and strong interactions the wavefunction extends over the whole interval. A high density of scatterers and weak interactions, on the other hand, lead to localization of the wavefunction in a fragmented subset of the interval. author: - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jakob full_name: Yngvason, Jakob last_name: Yngvason - first_name: Valentin full_name: Zagrebnov, Valentin A last_name: Zagrebnov citation: ama: Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012;2012(11). doi:10.1088/1742-5468/2012/11/P11007 apa: Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd. https://doi.org/10.1088/1742-5468/2012/11/P11007 chicago: Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007. ieee: R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11. IOP Publishing Ltd., 2012. ista: Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012(11). mla: Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007. short: R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012). date_created: 2018-12-11T11:57:28Z date_published: 2012-11-01T00:00:00Z date_updated: 2021-01-12T06:57:16Z day: '01' doi: 10.1088/1742-5468/2012/11/P11007 extern: 1 intvolume: ' 2012' issue: '11' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1207.7054 month: '11' oa: 1 publication: Journal of Statistical Mechanics Theory and Experiment publication_status: published publisher: IOP Publishing Ltd. publist_id: '4523' quality_controlled: 0 status: public title: Disordered Bose-Einstein condensates with interaction in one dimension type: journal_article volume: 2012 year: '2012' ... --- _id: '2402' abstract: - lang: eng text: We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from below by a constant times the integral of the particle density to the power. author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697416 apa: Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.3697416 chicago: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416. ieee: R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” Journal of Mathematical Physics, vol. 53, no. 9. American Institute of Physics, 2012. ista: Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9). mla: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416. short: R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012). date_created: 2018-12-11T11:57:27Z date_published: 2012-09-28T00:00:00Z date_updated: 2021-01-12T06:57:16Z day: '28' doi: 10.1063/1.3697416 extern: 1 intvolume: ' 53' issue: '9' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1112.5617 month: '09' oa: 1 publication: Journal of Mathematical Physics publication_status: published publisher: American Institute of Physics publist_id: '4524' quality_controlled: 0 status: public title: Lieb-Thirring inequality for a model of particles with point interactions type: journal_article volume: 53 year: '2012' ... --- _id: '2401' abstract: - lang: eng text: We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞]. author: - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Lieb É, Seiringer R. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 2012;149(1):86-91. doi:10.1007/s10955-012-0585-8 apa: Lieb, É., & Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-012-0585-8 chicago: Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0585-8. ieee: É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani conjecture,” Journal of Statistical Physics, vol. 149, no. 1. Springer, pp. 86–91, 2012. ista: Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91. mla: Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:10.1007/s10955-012-0585-8. short: É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91. date_created: 2018-12-11T11:57:27Z date_published: 2012-10-01T00:00:00Z date_updated: 2021-01-12T06:57:16Z day: '01' doi: 10.1007/s10955-012-0585-8 extern: 1 intvolume: ' 149' issue: '1' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1206.0460 month: '10' oa: 1 page: 86 - 91 publication: Journal of Statistical Physics publication_status: published publisher: Springer publist_id: '4525' quality_controlled: 0 status: public title: Further implications of the Bessis-Moussa-Villani conjecture type: journal_article volume: 149 year: '2012' ... --- _id: '2411' abstract: - lang: eng text: The kingdom of fungi provides model organisms for biotechnology, cell biology, genetics, and life sciences in general. Only when their phylogenetic relationships are stably resolved, can individual results from fungal research be integrated into a holistic picture of biology. However, and despite recent progress, many deep relationships within the fungi remain unclear. Here, we present the first phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion to strengthen phylogenetic conclusions. We reason that branches (splits) recovered with independent data and different tree reconstruction methods are likely to reflect true evolutionary relationships. Two complementary phylogenomic data sets based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed with four different tree reconstruction methods shed light from different angles on the fungal tree of life. Eleven additional data sets address specifically the phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes, respectively. The combined evidence from the resulting trees supports the deep-level stability of the fungal groups toward a comprehensive natural system of the fungi. In addition, our analysis reveals methodologically interesting aspects. Enrichment for EST encoded data-a common practice in phylogenomic analyses-introduces a strong bias toward slowly evolving and functionally correlated genes. Consequently, the generalization of phylogenomic data sets as collections of randomly selected genes cannot be taken for granted. A thorough characterization of the data to assess possible influences on the tree reconstruction should therefore become a standard in phylogenomic analyses. author: - first_name: Ingo full_name: Ebersberger, Ingo last_name: Ebersberger - first_name: Ricardo full_name: De Matos Simoes, Ricardo last_name: De Matos Simoes - first_name: Anne full_name: Kupczok, Anne id: 2BB22BC2-F248-11E8-B48F-1D18A9856A87 last_name: Kupczok - first_name: Matthias full_name: Gube, Matthias last_name: Gube - first_name: Erika full_name: Kothe, Erika last_name: Kothe - first_name: Kerstin full_name: Voigt, Kerstin last_name: Voigt - first_name: Arndt full_name: Von Haeseler, Arndt last_name: Von Haeseler citation: ama: Ebersberger I, De Matos Simoes R, Kupczok A, et al. A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. 2012;29(5):1319-1334. doi:10.1093/molbev/msr285 apa: Ebersberger, I., De Matos Simoes, R., Kupczok, A., Gube, M., Kothe, E., Voigt, K., & Von Haeseler, A. (2012). A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. Oxford University Press. https://doi.org/10.1093/molbev/msr285 chicago: Ebersberger, Ingo, Ricardo De Matos Simoes, Anne Kupczok, Matthias Gube, Erika Kothe, Kerstin Voigt, and Arndt Von Haeseler. “A Consistent Phylogenetic Backbone for the Fungi.” Molecular Biology and Evolution. Oxford University Press, 2012. https://doi.org/10.1093/molbev/msr285. ieee: I. Ebersberger et al., “A consistent phylogenetic backbone for the fungi,” Molecular Biology and Evolution, vol. 29, no. 5. Oxford University Press, pp. 1319–1334, 2012. ista: Ebersberger I, De Matos Simoes R, Kupczok A, Gube M, Kothe E, Voigt K, Von Haeseler A. 2012. A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. 29(5), 1319–1334. mla: Ebersberger, Ingo, et al. “A Consistent Phylogenetic Backbone for the Fungi.” Molecular Biology and Evolution, vol. 29, no. 5, Oxford University Press, 2012, pp. 1319–34, doi:10.1093/molbev/msr285. short: I. Ebersberger, R. De Matos Simoes, A. Kupczok, M. Gube, E. Kothe, K. Voigt, A. Von Haeseler, Molecular Biology and Evolution 29 (2012) 1319–1334. date_created: 2018-12-11T11:57:30Z date_published: 2012-05-01T00:00:00Z date_updated: 2021-01-12T06:57:19Z day: '01' ddc: - '570' - '576' department: - _id: JoBo doi: 10.1093/molbev/msr285 file: - access_level: open_access checksum: d565dcac27d1736c0c378ea6fcf22d69 content_type: application/pdf creator: system date_created: 2018-12-12T10:13:30Z date_updated: 2020-07-14T12:45:40Z file_id: '5013' file_name: IST-2015-384-v1+1_Mol_Biol_Evol-2012-Ebersberger-1319-34.pdf file_size: 754922 relation: main_file file_date_updated: 2020-07-14T12:45:40Z has_accepted_license: '1' intvolume: ' 29' issue: '5' language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ month: '05' oa: 1 oa_version: Published Version page: 1319 - 1334 publication: Molecular Biology and Evolution publication_status: published publisher: Oxford University Press publist_id: '4515' pubrep_id: '384' quality_controlled: '1' scopus_import: 1 status: public title: A consistent phylogenetic backbone for the fungi tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 29 year: '2012' ... --- _id: '241' abstract: - lang: eng text: The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Châtelet surfaces over ℚ. author: - first_name: Régis full_name: de la Bretèche, Régis last_name: De La Bretèche - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: De La Bretèche R, Browning TD. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 2012;191(2):973-1012. doi:10.1007/s11856-012-0019-y apa: De La Bretèche, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-012-0019-y chicago: De La Bretèche, Régis, and Timothy D Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” Israel Journal of Mathematics. Springer, 2012. https://doi.org/10.1007/s11856-012-0019-y. ieee: R. De La Bretèche and T. D. Browning, “Binary forms as sums of two squares and Châtelet surfaces,” Israel Journal of Mathematics, vol. 191, no. 2. Springer, pp. 973–1012, 2012. ista: De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012. mla: De La Bretèche, Régis, and Timothy D. Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” Israel Journal of Mathematics, vol. 191, no. 2, Springer, 2012, pp. 973–1012, doi:10.1007/s11856-012-0019-y. short: R. De La Bretèche, T.D. Browning, Israel Journal of Mathematics 191 (2012) 973–1012. date_created: 2018-12-11T11:45:23Z date_published: 2012-02-28T00:00:00Z date_updated: 2021-01-12T06:57:19Z day: '28' doi: 10.1007/s11856-012-0019-y extern: 1 intvolume: ' 191' issue: '2' month: '02' page: 973 - 1012 publication: Israel Journal of Mathematics publication_status: published publisher: Springer publist_id: '7663' quality_controlled: 0 status: public title: Binary forms as sums of two squares and Châtelet surfaces type: journal_article volume: 191 year: '2012' ... --- _id: '242' abstract: - lang: eng text: We investigate the first and second moments of shifted convolutions of the generalized divisor function d 3(n). acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council" author: - first_name: Stephan full_name: Baier, Stephan last_name: Baier - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Gihan full_name: Marasingha, Gihan last_name: Marasingha - first_name: Liangyi full_name: Zhao, Liangyi last_name: Zhao citation: ama: Baier S, Browning TD, Marasingha G, Zhao L. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 2012;55(3):551-576. doi:10.1017/S001309151100037X apa: Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. Cambridge University Press. https://doi.org/10.1017/S001309151100037X chicago: Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2012. https://doi.org/10.1017/S001309151100037X. ieee: S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted convolutions of d3 (n),” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012. ista: Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576. mla: Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3, Cambridge University Press, 2012, pp. 551–76, doi:10.1017/S001309151100037X. short: S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh Mathematical Society 55 (2012) 551–576. date_created: 2018-12-11T11:45:23Z date_published: 2012-10-01T00:00:00Z date_updated: 2021-01-12T06:57:23Z day: '01' doi: 10.1017/S001309151100037X extern: 1 intvolume: ' 55' issue: '3' main_file_link: - open_access: '1' url: https://arxiv.org/abs/1101.5464 month: '10' oa: 1 page: 551 - 576 publication: Proceedings of the Edinburgh Mathematical Society publication_status: published publisher: Cambridge University Press publist_id: '7662' quality_controlled: 0 status: public title: Averages of shifted convolutions of d3 (n) type: journal_article volume: 55 year: '2012' ...