Asymptotics of generalized partial theta functions with a Dirichlet character

Abstract

In this paper, we prove asymptotic expansions of generalized partial theta functions with a nonprincipal Dirichlet character and relate these expansions to certain $L$-series.

17 pages

References in corpus (2)

• On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials
• Character analogue of the Boole summation formula with applications