Summation Formulae for Coefficients of <i>L</i>-functions

John Friedlander, Henryk Iwaniec

Type: Article

Publication Date: 2005-06-01

Citations: 51

DOI: https://doi.org/10.4153/cjm-2005-021-5

Abstract

Abstract With applications inmind 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.

Locations

Canadian Journal of Mathematics - View - PDF

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+	Van der Corput's Method of Exponential Sums	1991	S. W. Graham Grigori Kolesnik
+	Summation formulas, from Poisson and Voronoi to the present	2004	Stephen D. Miller Wilfried Schmid
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown