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).
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页码：495 / 508
页数：14
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