BOUNDS FOR MOMENTS OF QUADRATIC DIRICHLET CHARACTER SUMS

We establish upper bounds for moments of smoothed quadratic Dirichlet character sums under the generalized Riemann hypothesis, confirming a conjecture of M. Jutila [‘On sums of real characters’, Tr. Mat. Inst. Steklova 132 (1973), 247–250].

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 2024-05, p.1-5
Main Authors: GAO, PENG, ZHAO, LIANGYI
Format: Article
Language:English
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Summary:We establish upper bounds for moments of smoothed quadratic Dirichlet character sums under the generalized Riemann hypothesis, confirming a conjecture of M. Jutila [‘On sums of real characters’, Tr. Mat. Inst. Steklova 132 (1973), 247–250].
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972724000327