Identities for Logarithmic Means: A Survey

DOI10.1007/978-1-4939-3201-6_1zbMath1382.11072OpenAlexW2409287814MaRDI QIDQ2808216

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Publication date: 20 May 2016

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-3201-6_1

zbMATH Keywords

Dirichlet seriesBessel functionsarithmetical functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Other Dirichlet series and zeta functions (11M41)

Cites Work

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• A formula connected with lattice points in a circle
• Hecke's functional equation and arithmetical identities
• Inversion formulas for Dirichlet series
• Circle and divisor problems, and double series of Bessel functions
• On a theorem of Müller and Carlitz
• Functional equations with multiple gamma factors and the average order of arithmetical functions
• Eine Formel der analytischen Zahlentheorie
• Logarithmic means and double series of Bessel functions
• Corrections and Additions to "A Generalization of a Theorem of Ayoub and Chowla"
• Three two-dimensional Weyl steps in the circle problem II. The logarithmic Riesz mean for a class of arithmetic functions
• A Generalization of A Theorem of Ayoub and Chowla
• Identities Involving the Coefficients of a Class of Dirichlet Series. I
• Ramanujan's Lost Notebook
• On the Hurwitz zeta-function

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