Karatsuba's method for estimating Kloosterman sums

DOI10.1070/SM8648zbMath1365.11096MaRDI QIDQ2966687

M. A. Korolev

Publication date: 8 March 2017

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

zbMATH Keywords

short Kloosterman sumsinverse residuesKaratsuba's method

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05)

Related Items (13)

Shifted character sums with multiplicative coefficients. II. ⋮ Vinogradov’s sieve and an estimate for an incomplete Kloosterman sum ⋮ 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 ⋮ On the distribution of modular inverses from short intervals ⋮ Divisors of a quadratic form with primes ⋮ Methods of estimating short Kloosterman sums ⋮ Short Kloosterman sums with primes ⋮ The distribution of consecutive prime biases and sums of sawtooth random variables ⋮ Kloosterman sums with multiplicative coefficients ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Multilinear exponential sums in prime fields under optimal entropy condition on the sources
• Sums of fractional parts of functions of a special form
• Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
• Kloosterman sums in residue rings

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