Integrals, an Introduction to Analytic Number Theory

DOI10.2307/2323562zbMath0651.10028OpenAlexW2084469253MaRDI QIDQ3795739

Ilan Vardi

Publication date: 1988

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2323562

zbMATH Keywords

integral formulasDirichlet L-function\(\Gamma\)-functionHurwitz \(\zeta\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35)

Related Items (7)

Unnamed Item ⋮ The Laplace transform of the digamma function: An integral due to Glasser, Manna and Oloa ⋮ Generalized Stieltjes constants and integrals involving the log-log function: Kummer's Theorem in action ⋮ On representations and differences of Stieltjes coefficients, and other relations ⋮ Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results ⋮ New inequalities for the Hurwitz zeta function ⋮ A class of logarithmic integrals

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