On a Diophantine inequality with reciprocals

DOI10.1134/S0081543817080090zbMath1446.11055OpenAlexW2794295148MaRDI QIDQ1661312

M. A. Korolev

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.1134/s0081543817080090

zbMATH Keywords

Diophantine inequalityKloosterman sumsWeil's estimate

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Diophantine inequalities (11D75)

Related Items (5)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ Elementary proof of an estimate for Kloosterman sums with primes ⋮ New estimate for a Kloosterman sum with primes for a composite modulus ⋮ Short Kloosterman sums with primes ⋮ Kloosterman sums with multiplicative coefficients

Cites Work

• On a symmetric Diophantine equation with reciprocals
• On short Kloosterman sums modulo a prime
• Integers without large prime factors
• Sums of fractional parts of functions of a special form
• Kloosterman double sums
• Incomplete Kloosterman sums and their applications
• Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
• Karatsuba's method for estimating Kloosterman sums
• Fractional parts of functions of a special form
• Analogues of Kloosterman sums
• Irreducible solutions of an equation involving reciprocals
• On Kloosterman's sum
• On Some Exponential Sums
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