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The q-Dixon sum Dirichlet series analogue

2013/02/11 by Geoffrey B. Campbell, Geoffrey B Campbell, Campbell, Geoffrey B
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematical functions and polynomials #math.NT

paper · pdf · doi:10.48550/arxiv.1302.2664

3 pages

arxiv created 2013/02/11 · arxiv updated 2013/02/13

Abstract

A few years ago, the concept of a D-analogue was introduced as a Dirichlet series analogue for the already known and well researched hypergeometric q-series. The D-analogue of the q-Dixon sum is given here, in the context of seeing a direct comparison with the old Dixon theorem and the q-analogue.

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