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Exponential sums over Piatetski-Shapiro primes in arithmetic progressions (2211.10928v1)

Published 20 Nov 2022 in math.NT

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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