Exponential sums over Piatetski-Shapiro primes in arithmetic progressions

S. I. Dimitrov

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arXiv · 2211.10928

Exponential sums over Piatetski-Shapiro primes in arithmetic progressions

S. I. Dimitrov

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Abstract

Let $\gamma<1<c$ and $19(c-1)+171(1-\gamma)<9$. In this paper, we establish an asymptotic formula for exponential sums over Piatetski-Shapiro primes $p=[n^{1/\gamma}]$ in arithmetic progressions.

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S. I. Dimitrov. 2022-11-20. Exponential sums over Piatetski-Shapiro primes in arithmetic progressions. https://arxiv.org/abs/2211.10928

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