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Character sums with Beatty sequences on Burgess-type intervals

William D. Banks·Igor E. Shparlinski
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Abstract

We estimate multiplicative character sums taken on the values of a non-homogeneous Beatty sequence $\{[αn + β] : n =1,2,... \}$, where $α,β\in\R$, and $α$ is irrational. Our bounds are nontrivial over the same short intervals for which the classical character sum estimates of Burgess have been established.

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William D. Banks, Igor E. Shparlinski. 2006-08-02. Character sums with Beatty sequences on Burgess-type intervals. https://arxiv.org/abs/math/0608042

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