{"author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177"}],"quality_controlled":0,"publisher":"Springer","page":"13 - 38","extern":1,"date_created":"2018-12-11T11:45:17Z","publication":"Monatshefte fur Mathematik","publication_status":"published","month":"09","type":"journal_article","date_published":"2007-09-01T00:00:00Z","oa":1,"year":"2007","main_file_link":[{"url":"https://arxiv.org/abs/math/0603569","open_access":"1"}],"issue":"1","publist_id":"7690","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"}],"status":"public","date_updated":"2021-01-12T06:56:09Z","title":"Density of integer solutions to diagonal quadratic forms","intvolume":" 152","volume":152,"citation":{"ieee":"T. D. Browning, “Density of integer solutions to diagonal quadratic forms,” Monatshefte fur Mathematik, vol. 152, no. 1. Springer, pp. 13–38, 2007.","apa":"Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. Monatshefte Fur Mathematik. Springer. https://doi.org/10.1007/s00605-007-0457-5","chicago":"Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” Monatshefte Fur Mathematik. Springer, 2007. https://doi.org/10.1007/s00605-007-0457-5.","short":"T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.","ista":"Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.","ama":"Browning TD. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 2007;152(1):13-38. doi:10.1007/s00605-007-0457-5","mla":"Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” Monatshefte Fur Mathematik, vol. 152, no. 1, Springer, 2007, pp. 13–38, doi:10.1007/s00605-007-0457-5."},"day":"01","doi":"10.1007/s00605-007-0457-5","_id":"223"}