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Asymptotics of Generalized Partial Theta Functions with a Dirichlet Character

Hu, S.; Kim, M-S*
Science Citation Index Expanded
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摘要

We prove asymptotic expansions of generalized partial theta functions with a nonprincipal Dirichlet character and relate these expansions to certain L-series.

关键词

partial theta function asymptotic expansion character analogue of the Euler-Maclaurin summation formula