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Summation Formulae for Coefficients of L-functions

Published online by Cambridge University Press:  20 November 2018

John B. Friedlander  and
Henryk Iwaniec
John B. Friedlander
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON, M5S 3G3, e-mail: frdlndr@math.toronto.edu
Henryk Iwaniec
Affiliation:
Department of Mathematics, Rutgers University, Piscataway, NJ 08854, U.S.A. and Courant Institute of Mathematical Sciences, NYU, New York, NY 10012, U.S.A.
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Abstract

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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.

Keywords

11M0611M41
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 3 , 01 June 2005 , pp. 494 - 505
Copyright
Copyright © Canadian Mathematical Society 2005

References

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