The quaternary Piatetski-Shapiro inequality with one prime of the form \(p = x^2 + y^2 + 1\)

DOI10.1007/S10986-022-09554-ZzbMath1496.11060arXiv2012.06476OpenAlexW4210692475WikidataQ114224949 ScholiaQ114224949MaRDI QIDQ2142452

Stoyan Ivanov Dimitrov

Publication date: 27 May 2022

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

Full work available at URL: https://arxiv.org/abs/2012.06476

zbMATH Keywords

primesDiophantine inequalityexponential sumBombieri-Vinogradov-type result

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Goldbach-type theorems; other additive questions involving primes (11P32) Diophantine inequalities (11D75) Sums over primes (11L20)

Cites Work

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• On a binary Diophantine inequality involving prime numbers
• The Pjateckii-Sapiro prime number theorem
• Diophantine approximation with one prime of the form \(p = x^2 + y^2 + 1\)
• Some Diophantine equations and inequalities with primes
• On a diophantine inequality involving prime numbers
• A ternary Diophantine inequality over primes
• Multiple exponential sums with monomials and their applications in number theory

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