Divisor functions arising from q-series

被引：0

作者：

Cho, Bumkyu ^{[1
]}

Kim, Daeyeoul ^{[2
]}

Koo, Ja Kyung

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea

[2] Natl Inst Math Sci, Taejon 305340, South Korea

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2010年 / 76卷 / 3-4期

关键词：

basic hypergeometric series; ARITHMETICAL FUNCTION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider some of the properties of divisor functions arising from q-series and theta functions. Using these we obtain several new identities involving divisor functions. On the other hand we prove a conjecture of Z. H. Sun concerning representations by the ternary quadratic form x(2) + y(2) + 3z(2), and also get an analogous result for x(2) + y(2) + 2z(2).

引用

页码：495 / 508

页数：14

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