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- W2995092783 abstract "In this paper we obtain a new constant in the Pólya-Vinogradov inequality. Our argument follows previously established techniques which use the Fourier expansion of an interval to reduce to Gauss sums. Our improvement comes from approximating an interval by a function with slower decay on the edges and this allows for a better estimate of the ℓ1 norm of the Fourier transform. This approximation induces an error for our original sums which we deal with by combining some ideas of Hildebrand with Garaev and Karatsuba concerning long character sums." @default.
- W2995092783 created "2019-12-26" @default.
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- W2995092783 date "2020-07-01" @default.
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- W2995092783 title "On the constant in the Pólya-Vinogradov inequality" @default.
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- W2995092783 doi "https://doi.org/10.1016/j.jnt.2019.11.003" @default.
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