Modular ternary additive problems with irregular or prime numbers

DOI10.1134/S0081543821040106zbMath1495.11098OpenAlexW3206881444MaRDI QIDQ2234370

G. K. Viswanadham, Olivier Ramaré

Publication date: 19 October 2021

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

Full work available at URL: https://doi.org/10.1134/s0081543821040106

zbMATH Keywords

Möbius functionexponential sumsprimes in progressionsbilinear decomposition

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Primes in congruence classes (11N13) Sums over primes (11L20)

Related Items (1)

Exponential sums over primes with multiplicative coefficients

Uses Software

• OEIS

Cites Work

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• Modified truncated Perron formulae
• The Möbius function is strongly orthogonal to nilsequences
• Lectures on sieve methods and prime number theory
• On Bombieri's asymptotic sieve
• On sums of primes
• On Gallagher's prime number theorem
• An asymptotic estimate related to Selberg's sieve
• Exponential sums with monomials
• Explicit expression of a Barban \& Vehov theorem
• Eigenvalues in the large sieve inequality
• A large sieve density estimate near \(\sigma = 1\)
• Approximate formulas for some functions of prime numbers
• Some elementary explicit bounds for two mollifications of the Moebius function
• Explicit Estimates: From Λ(n) in Arithmetic Progressions to Λ(n)/n
• An explicit density estimate for Dirichlet $L$-series
• Arithmetical Aspects of the Large Sieve Inequality
• On the representation of large odd integer as a sum of three almost equal primes
• Some problems of analytic number theory
• The large sieve
• Elementary methods in the theory of L-functions, II. On the greatest real zero of a real L-function
• A note on a result of Bateman and Chowla
• Disjointness of Moebius from Horocycle Flows
• Explicit estimates on several summatory functions involving the Moebius function
• On primes in arithmetic progressions
• Numerical computations concerning the GRH
• ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II)
• Primes in arithmetic progressions
• Brun's fundamental lemma and exponential sums over primes

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