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ON A TWISTED VERSION OF LINNIK AND SELBERG’S CONJECTURE ON SUMS OF KLOOSTERMAN SUMS

Part of: Discontinuous groups and automorphic forms Exponential sums and character sums

Published online by Cambridge University Press:  29 January 2019

Raphael S. Steiner
Raphael S. Steiner*
Affiliation:
FH-317, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, U.S.A. email raphael.steiner.academic@gmail.com
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Abstract

We generalize the work of Sarnak and Tsimerman to twisted sums of Kloosterman sums and thus give evidence towards the twisted Linnik–Selberg conjecture.

MSC classification

Primary: 11L05: Gauss and Kloosterman sums; generalizations
Secondary: 11L07: Estimates on exponential sums 11F72: Spectral theory; Selberg trace formula
Type
Research Article
Information
Mathematika , Volume 65 , Issue 3 , 2019 , pp. 437 - 474
Copyright
Copyright © University College London 2019 

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