Irreducible solutions of an equation involving reciprocals

DOI10.1070/SM8801zbMath1434.11083OpenAlexW2793048375MaRDI QIDQ4610202

M. A. Korolev, Sergei V. Konyagin

Publication date: 6 April 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8801

zbMATH Keywords

reciprocalsDiophantine equationsmoments of Kloosterman sums

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ Kloosterman sums with multiplicative coefficients

Cites Work

• Unnamed Item
• On a symmetric Diophantine equation with reciprocals
• Estimates of certain arithmetic sums related to the number of divisors
• On the product sets of rational numbers
• Approximate formulas for some functions of prime numbers
• Fractional parts of functions of a special form
• Analogues of Kloosterman sums

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