Identities for logarithmic means: A survey

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We provide a survey of identities for sums of the type ∑n≤x a(n) log(x=n): In each case, a(n) is an arithmetical function generated by a Dirichlet series satisfying a functional equation involving the gamma function. Moreover, all of the identities given in this paper feature infinite series of Bessel functions.

Original languageEnglish (US)
Title of host publicationFields Institute Communications
PublisherSpringer
Pages1-10
Number of pages10
DOIs
StatePublished - Jan 1 2015

Publication series

NameFields Institute Communications
Volume77
ISSN (Print)1069-5265

ASJC Scopus subject areas

  • Mathematics(all)

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