An Euler product transform applied to q-series

被引：0
作者：
Geoffrey B. Campbell
机构：
[1] La Trobe University,Department of Mathematics
来源：
The Ramanujan Journal | 2006年 / 12卷
关键词：
Dirichlet series and zeta functions; Basic hypergeometric functions in one variable; Dirichlet series and other series expansions; Exponential series;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper introduces the concept of a D-analogue. This is a Dirichlet series analogue for the already known and well researched hypergeometric q-series, often called the basic hypergeometric series. The main result in this paper is a transform, based on an Euler product over the primes. Examples given are D-analogues of the q-binomial theorem and the q-Gauss summation.
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页码：267 / 293
页数：26
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