L-series associated to symmetric functions mod N with applications related to ζ(3), ζ(5)

2016/02/04 by Spring, David
#11M36 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1602.01706

Abstract

We develop a new theory of L-series based on replacing Dirichlet characters mod N by symmetric functions mod N in order to calculate explicitly the sums of infinite series more closely related to ζ(2n+1), specifically ζ(3), ζ(5). This generalizes the corresponding theory of sums of L-series associated to Dirichlet characters.

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