Abstract
Let and be real numbers. The corresponding Beatty sequence is defined by
We estimate Kloosterman sums with Beatty sequences of the shape
where is an integer. When is a prime, bounds for exponential sums with rational functions along Beatty sequences are also obtained. Furthermore, bounds for subject to , indivisible by , and belonging to some fixed Beatty sequence are improved.
Citation
Mengyao Jing. Huaning Liu. "KLOOSTERMAN SUMS WITH BEATTY SEQUENCES AND APPLICATION." Rocky Mountain J. Math. 53 (3) 807 - 820, June 2023. https://doi.org/10.1216/rmj.2023.53.807
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