Some Diophantine equations and inequalities with primes

DOI10.7169/facm/1912zbMath1484.11195arXiv2008.12392OpenAlexW3106110752MaRDI QIDQ2238288

Yanyan Li

Publication date: 1 November 2021

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12392

zbMATH Keywords

primesfractional powerscircle methodDiophantine inequalitiesDavenport-Heilbronn methodsieve

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Applications of sieve methods (11N36) Diophantine inequalities (11D75)

Related Items (12)

The quaternary Piatetski-Shapiro inequality with one prime of the form \(p = x^2 + y^2 + 1\) ⋮ On a ternary Diophantine equation involving fractional powers with prime variables of a special form ⋮ On a tangent equation by primes ⋮ A ternary Diophantine inequality with prime numbers of a special form ⋮ On an equation by primes with one Linnik prime ⋮ A ternary Diophantine inequality by primes with one of the form \(p= x^2 +y^2 +1\) ⋮ The values of general quadratic forms at prime arguments ⋮ A tangent inequality over primes ⋮ A quaternary Diophantine inequality with prime numbers of a special form ⋮ Unnamed Item ⋮ On a ternary Diophantine inequality over primes ⋮ A diophantine equation involving special prime numbers

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