On primes represented by cubic polynomials

DOI10.1007/s00209-012-1072-2zbMath1348.11069arXiv1110.1142OpenAlexW2068127240MaRDI QIDQ1955704

Liangyi Zhao, Timothy Foo

Publication date: 18 June 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1142

zbMATH Keywords

primes represented by polynomialsprimes in cubic progressions

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05) Primes in congruence classes (11N13) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (6)

Primes in higher-order progressions on average ⋮ On prime vs. prime power pairs ⋮ Average Bateman–Horn for Kummer polynomials ⋮ Schinzel hypothesis on average and rational points ⋮ The Bateman-Horn conjecture: heuristic, history, and applications ⋮ Bounds for discrete moments of Weyl sums and applications

Cites Work

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• A large sieve density estimate near \(\sigma = 1\)
• LARGE SIEVE INEQUALITIES FOR QUARTIC CHARACTERS
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• ON PRIMES IN QUADRATIC PROGRESSIONS
• The Large Sieve Inequality for Algebraic Number Fields. II: Means of Moments of Hecke Zeta-Functions

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