Exponential sums with coefficients of certain Dirichlet series

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Baier, Stephan (2013) Exponential sums with coefficients of certain Dirichlet series. Monatshefte für Mathematik, 169 (2). pp. 127-143. ISSN 0026-9255

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Abstract

Under the generalized Lindelöf Hypothesis in the t- and q-aspects, we bound exponential sums with coefficients of Dirichlet series belonging to a certain class. We use these estimates to establish a conditional result on squares of Hecke eigenvalues at Piatetski–Shapiro primes.

Item Type:	Article
Additional Information:	Available under Open Access
Uncontrolled Keywords:	exponential sums,dirichlet series,hecke eigenvalues,piatetski–shapiro primes
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Number Theory, Ergodic Theory and Dynamical Systems (former - to 2013) Faculty of Science > Research Groups > Number Theory (former - to 2017)
Depositing User:	Pure Connector
Date Deposited:	07 Sep 2013 05:13
Last Modified:	24 Oct 2022 04:34
URI:	https://ueaeprints.uea.ac.uk/id/eprint/43216
DOI:	10.1007/s00605-011-0372-7

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