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arXiv · 2404.09295

Estimates for trilinear and quadrilinear character sums

Étienne Fouvry·Igor E. Shparlinski·Ping Xi
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Abstract

We obtain new bounds on some trilinear and quadrilinear character sums, which are non-trivial starting from very short ranges of the variables. An application to an apparently new problem on oscillations of characters on differences between Farey fractions is given. Other applications include a modular analogue of a multiplicative hybrid problem of Iwaniec and Sárközy (1987) and the solvability of some prime type equations with constraints.

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Étienne Fouvry, Igor E. Shparlinski, Ping Xi. 2025-03-19. Estimates for trilinear and quadrilinear character sums. https://arxiv.org/abs/2404.09295

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