{"_id":"223","oa":1,"abstract":[{"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.","lang":"eng"}],"date_created":"2018-12-11T11:45:17Z","page":"13 - 38","month":"09","intvolume":"       152","publisher":"Springer","quality_controlled":0,"author":[{"full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87"}],"day":"01","title":"Density of integer solutions to diagonal quadratic forms","doi":"10.1007/s00605-007-0457-5","publication_status":"published","date_updated":"2021-01-12T06:56:09Z","issue":"1","status":"public","year":"2007","extern":1,"publication":"Monatshefte fur Mathematik","publist_id":"7690","type":"journal_article","volume":152,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0603569"}],"date_published":"2007-09-01T00:00:00Z","citation":{"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>.","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>.","short":"T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.","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.","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>","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>"}}