ARITHMETICAL FOURIER SERIES AND THE MODULAR RELATION

DOI10.2206/kyushujm.66.411zbMath1334.11072OpenAlexW1983576836MaRDI QIDQ4904995

Haruo Tsukada, Kalyan Chakraborty, Shigeru Kanemitsu

Publication date: 14 February 2013

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.66.411

zbMATH Keywords

Hurwitz zeta functionperiodic Bernoulli polynomialKummer's Fourier seriesloggamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Hurwitz and Lerch zeta functions (11M35)

Related Items (4)

Weighted short-interval character sums ⋮ A generalized Davenport expansion ⋮ On arithmetic series involving the fractional part function ⋮ A note on arithmetic Diophantine series

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