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Bounds for moments of quadratic dirichlet character sums

Peng Gao, Liangyi Zhao

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY（2024）

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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].
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Key words
quadratic Dirichlet character,moments
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