An application of counting ideals in ray classes

DOI10.4064/AA230406-10-6MaRDI QIDQ6653250

Sanoli Gun, Jyothsnaa Sivaraman, Olivier Ramaré

Publication date: 16 December 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

Brun-Titchmarsh theoremSelberg sieveprimes represented by polynomials

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of prime ideals (11R44) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Sieves (11N35)

Cites Work

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• A new extension of Dirichlet's theorem on prime numbers.
• Counting ideals in ray classes
• Approximate formulas for some functions of prime numbers
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• Excursions in Multiplicative Number Theory
• Explicit counting of ideals and a Brun–Titchmarsh inequality for the Chebotarev density theorem
• Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields

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