Estimation of Kloosterman sums with primes and its application

DOI10.1134/S0001434610090051zbMath1268.11108MaRDI QIDQ650289

Moubariz Z. Garaev

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Kloosterman sumtrigonometric sumCauchy-Bunyakovskii inequalityDirichlet L-functionDirichlet's principleManholdt functionVinogradov sieve

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05)

Related Items (17)

Generalized Kloosterman sum with primes ⋮ Kloosterman sums over primes of composite moduli ⋮ Kloosterman sums over smooth numbers ⋮ New estimate for a Kloosterman sum with primes for a composite modulus ⋮ Trilinear forms with double Kloosterman sums ⋮ Modular hyperbolas ⋮ Divisors of a quadratic form with primes ⋮ SMOOTH SQUAREFREE AND SQUAREFULL INTEGERS IN ARITHMETIC PROGRESSIONS ⋮ Average bounds for Kloosterman sums over primes ⋮ Bounds of multiplicative character sums over shifted primes ⋮ Kloosterman sums with primes and solvability of a congruence with inverse residues ⋮ On smooth square‐free numbers in arithmetic progressions ⋮ On short products of primes in arithmetic progressions ⋮ Short Kloosterman sums with primes ⋮ On products of primes and square-free integers in arithmetic progressions ⋮ Unnamed Item ⋮ On digits of Mersenne numbers

Cites Work

• Unnamed Item
• On the residues of products of prime numbers
• Products in residue classes
• Sums of fractional parts of functions of a special form
• Incomplete Kloosterman sums and their applications
• Almost-primes in arithmetic progressions and short intervals
• Fractional parts of functions of a special form
• Sur certaines sommes d'exponentielles sur les nombres premiers
• MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS

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