Character sums with Beatty sequences on Burgess-type intervals

Details Character sums with Beatty sequences on Burgess-type intervals Character sums with Beatty sequences on Burgess-type intervals

2006-08-02

arxiv.org/abs/math/0608042v1

Mathematics

Number Theory

Scientific paper

We estimate multiplicative character sums taken on the values of a
non-homogeneous Beatty sequence $\{[\alpha n + \beta] : n =1,2,... \}$, where
$\alpha,\beta\in\R$, and $\alpha$ 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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