几个级数-乘积型恒等式与Dedekind Eta函数展开式

利用级数的重排与Jacobi三重积恒等式,得到三个级数-乘积型恒等式.作为它们的特殊情形,得到几个与Dedekind eta函数相关的展开式.

关于高维Dedekind和的恒等式

以Donzagier中高维Dedekind和为基础,研究了其算术性质,得到了一个有趣的恒等式。

On Certain Theta Function Identities Analogous to Ramanujan’s <i>P-Q</i>Eta Function Identities

The purpose of this paper is to provide direct proofs of certain theta function identities analogous to Ramanujan’s P-Q eta functions identities.

Representations by Certain Sextenary Quadratic Forms Whose Coefficients Are 1, 2, 3 and 6

Here, we determine formulae, for the numbers of representations of a positive integer by certain sextenary quadratic forms whose coefficients are 1, 2, 3 and 6.