On a symmetric Diophantine equation with reciprocals

DOI10.1134/S0081543816060043zbMath1372.11051OpenAlexW2537093748MaRDI QIDQ511439

M. A. Korolev, Sergei V. Konyagin

Publication date: 15 February 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816060043

zbMATH Keywords

Kloosterman sumsDiophantine equations with reciprocals

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Gauss and Kloosterman sums; generalizations (11L05) Congruences in many variables (11D79) Diophantine equations in many variables (11D72)

Related Items (7)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ On a Diophantine inequality with reciprocals ⋮ Elementary proof of an estimate for Kloosterman sums with primes ⋮ New estimate for a Kloosterman sum with primes for a composite modulus ⋮ Irreducible solutions of an equation involving reciprocals ⋮ On short Kloosterman sums modulo a prime ⋮ Kloosterman sums with multiplicative coefficients

Cites Work

• Unnamed Item
• Value distributions of analogues of Kloosterman's sums
• On the rate of convergence of distributions of random variables
• Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
• Analogues of Kloosterman sums
• Probabilistic Methods in the Theory of the Riemann Zeta-Function

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