Refined Estimates for Exponential Sums and a Problem Concerning the Product of Three L-Series

Werner Georg Nowak ()
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Werner Georg Nowak: Universität für Bodenkultur (BOKU), Institut für Mathematik

A chapter in Number Theory – Diophantine Problems, Uniform Distribution and Applications, 2017, pp 333-345 from Springer

Abstract: Abstract This article deals with estimates for single exponential sums, combining tools from the classic Van der Corput’s theory with an ingredient from M. Huxley’s work. Further, a very precise way of balancing terms is applied with gain. The result obtained is used to derive asymptotic estimates for the coefficients of products of three Dirichlet L-series, as was initiated by Friedlander and Iwaniec (Can. J. Math. 57(3):494–505, 2005).

Keywords: 11M06; 11M41; 11N37 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-55357-3_17

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DOI: 10.1007/978-3-319-55357-3_17

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