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BOUNDS FOR MOMENTS OF QUADRATIC DIRICHLET CHARACTER SUMS
Published online by Cambridge University Press: 06 May 2024
Abstract
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].
Keywords
MSC classification
Primary:
11L40: Estimates on character sums
Secondary:
11M06: $zeta (s)$ and $L(s, chi)$
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
The first author is supported in part by NSFC grant no. 11871082 and the second author by the FRG Grant PS71536 at the University of New South Wales.
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