A Bombieri-Vinogradov-type result for exponential sums over Piatetski-Shapiro primes

DOI10.1007/s10986-022-09579-4OpenAlexW4307862082WikidataQ115603598 ScholiaQ115603598MaRDI QIDQ2692192

Stoyan Ivanov Dimitrov

Publication date: 21 March 2023

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12599

zbMATH Keywords

exponential sumPiatetski-Shapiro primesBombieri-Vinogradov-type result

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Sums over primes (11L20)

Cites Work

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• An additive problem on Piatetski-Shapiro primes
• A hybrid of theorems of Vinogradov and Piatetski-Shapiro
• The Pjateckii-Sapiro prime number theorem
• An additive problem with Piatetski-Shapiro primes and almost-primes
• An additive problem over Piatetski-Shapiro primes and almost-primes
• A ternary Diophantine inequality by primes with one of the form \(p= x^2 +y^2 +1\)
• Nombres premiers de la forme ⌊n^c⌋
• Prime numbers of the form [nc]
• Decoupling, exponential sums and the Riemann zeta function
• AN ADDITIVE PROBLEM INVOLVING PIATETSKI-SHAPIRO PRIMES
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity

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