Summation formulae for coefficients of L-functions

John B. Friedlander; Henryk Iwaniec

doi:10.4153/CJM-2005-021-5

Summation formulae for coefficients of L-functions

John B. Friedlander, Henryk Iwaniec

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

With applications in mind we establish a summation formula for the coefficients of a general Dirichlet series satisfying a suitable functional equation. Among a number of consequences we derive a generalization of an elegant divisor sum bound due to F. V. Atkinson.

Original language	English (US)
Pages (from-to)	494-505
Number of pages	12
Journal	Canadian Journal of Mathematics
Volume	57
Issue number	3
DOIs	https://doi.org/10.4153/CJM-2005-021-5
State	Published - Jan 1 2005

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "With applications in mind we establish a summation formula for the coefficients of a general Dirichlet series satisfying a suitable functional equation. Among a number of consequences we derive a generalization of an elegant divisor sum bound due to F. V. Atkinson.",

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