Theta functions and quadratic forms, convolution sums, Lambert series and Liouville type identities and Brewer type character sums

Theta 函数和二次形式、卷积和、Lambert 级数和 Liouville 型恒等式以及 Brewer 型字符和

• 批准号: 355440-2008
• 负责人: Alaca, Saban
• 金额: $ 0.87万
• 依托单位: Carleton University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=402535
• 关键词: Theta; functions; quadratic; forms; convolution

The research will focus on the application of theta function and other infinite product identities to the explicit evaluation of convolution sums and the determination of formulae for the number of representations of positive integers by quadratic forms in 6 and 8 variables.

研究将集中在theta函数和其他无穷乘积恒等式的应用，以显式计算卷积和，并确定公式的正整数表示的二次型在6和8个变量的数量。