Primes in higher-order progressions on average

DOI10.1142/S1793042118501166zbMath1428.11166arXiv1704.01908MaRDI QIDQ3177696

Nian Hong Zhou

Publication date: 1 August 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01908

zbMATH Keywords

circle methodprimes represented by polynomialsBateman-Horn conjecture

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Primes in congruence classes (11N13) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (2)

Average Bateman–Horn for Kummer polynomials ⋮ Schinzel hypothesis on average and rational points

Cites Work

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• On primes represented by cubic polynomials
• Primes in quadratic progressions on average
• A large sieve density estimate near \(\sigma = 1\)
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• On the exceptional set for the sum of a prime and ak‐th power
• On the sum of a prime and a k -th power

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