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

  • Werner Georg Nowak


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).

2010 Mathematics Subject Classification

11M06 11M41 11N37 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institut für MathematikUniversität für Bodenkultur (BOKU)WienAustria

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