[{"issue":"2","author":[{"first_name":"Timothy D","orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Rainer","last_name":"Dietmann"}],"type":"journal_article","date_updated":"2021-01-12T06:56:13Z","quality_controlled":0,"publist_id":"7688","status":"public","intvolume":" 96","abstract":[{"lang":"eng"}],"_id":"224","date_published":"2008-03-01T00:00:00Z","volume":96,"page":"389 - 416","publication":"Proceedings of the London Mathematical Society","extern":1,"citation":{"short":"T.D. Browning, R. Dietmann, Proceedings of the London Mathematical Society 96 (2008) 389–416.","ista":"Browning TD, Dietmann R. 2008. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 96(2), 389–416.","apa":"Browning, T. D., & Dietmann, R. (2008). On the representation of integers by quadratic forms. *Proceedings of the London Mathematical Society*. John Wiley and Sons Ltd. https://doi.org/10.1112/plms/pdm032","mla":"Browning, Timothy D., and Rainer Dietmann. “On the Representation of Integers by Quadratic Forms.” *Proceedings of the London Mathematical Society*, vol. 96, no. 2, John Wiley and Sons Ltd, 2008, pp. 389–416, doi:10.1112/plms/pdm032.","ieee":"T. D. Browning and R. Dietmann, “On the representation of integers by quadratic forms,” *Proceedings of the London Mathematical Society*, vol. 96, no. 2. John Wiley and Sons Ltd, pp. 389–416, 2008.","chicago":"Browning, Timothy D, and Rainer Dietmann. “On the Representation of Integers by Quadratic Forms.” *Proceedings of the London Mathematical Society*. John Wiley and Sons Ltd, 2008. https://doi.org/10.1112/plms/pdm032."},"dini_type":"doc-type:article","month":"03","uri_base":"https://research-explorer.app.ist.ac.at","publication_status":"published","date_created":"2018-12-11T11:45:18Z","dc":{"source":["Browning TD, Dietmann R. On the representation of integers by quadratic forms. *Proceedings of the London Mathematical Society*. 2008;96(2):389-416. doi:10.1112/plms/pdm032"],"date":["2008"],"publisher":["John Wiley and Sons Ltd"],"title":["On the representation of integers by quadratic forms"],"description":["Let n ≥ 4 and let Q ∈ [X1, ..., Xn] be a non-singular quadratic form. When Q is indefinite we provide new upper bounds for the least non-trivial integral solution to the equation Q = 0, and when Q is positive definite we provide improved upper bounds for the greatest positive integer k for which the equation Q = k is insoluble in integers, despite being soluble modulo every prime power."],"rights":["info:eu-repo/semantics/closedAccess"],"creator":["Timothy Browning","Dietmann, Rainer"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1112/plms/pdm032"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"identifier":["https://research-explorer.app.ist.ac.at/record/224"]},"day":"01"}]