{"page":"13 - 38","date_published":"2007-09-01T00:00:00Z","title":"Density of integer solutions to diagonal quadratic forms","date_created":"2018-12-11T11:45:17Z","publisher":"Springer","abstract":[{"lang":"eng","text":"Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus."}],"citation":{"short":"T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.","chicago":"Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” <i>Monatshefte Fur Mathematik</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s00605-007-0457-5\">https://doi.org/10.1007/s00605-007-0457-5</a>.","ama":"Browning TD. Density of integer solutions to diagonal quadratic forms. <i>Monatshefte fur Mathematik</i>. 2007;152(1):13-38. doi:<a href=\"https://doi.org/10.1007/s00605-007-0457-5\">10.1007/s00605-007-0457-5</a>","ieee":"T. D. Browning, “Density of integer solutions to diagonal quadratic forms,” <i>Monatshefte fur Mathematik</i>, vol. 152, no. 1. Springer, pp. 13–38, 2007.","ista":"Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.","apa":"Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. <i>Monatshefte Fur Mathematik</i>. Springer. <a href=\"https://doi.org/10.1007/s00605-007-0457-5\">https://doi.org/10.1007/s00605-007-0457-5</a>","mla":"Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” <i>Monatshefte Fur Mathematik</i>, vol. 152, no. 1, Springer, 2007, pp. 13–38, doi:<a href=\"https://doi.org/10.1007/s00605-007-0457-5\">10.1007/s00605-007-0457-5</a>."},"month":"09","oa":1,"author":[{"full_name":"Timothy Browning","first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"}],"extern":1,"year":"2007","_id":"223","date_updated":"2021-01-12T06:56:09Z","status":"public","day":"01","publist_id":"7690","intvolume":"       152","quality_controlled":0,"publication_status":"published","main_file_link":[{"url":"https://arxiv.org/abs/math/0603569","open_access":"1"}],"volume":152,"issue":"1","type":"journal_article","publication":"Monatshefte fur Mathematik","doi":"10.1007/s00605-007-0457-5"}