An analogue of a formula for Chebotarev densities

DOI10.1142/S1793042120500815zbMath1456.11176arXiv1908.05404MaRDI QIDQ3303487

Biao Wang

Publication date: 11 August 2020

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

Full work available at URL: https://arxiv.org/abs/1908.05404

zbMATH Keywords

dualityprime number theoremChebotarev densitylargest prime divisorsmallest prime divisor

Mathematics Subject Classification ID

Density theorems (11R45) Primes in congruence classes (11N13)

Related Items (5)

Generalizations of Alladi's formula for arithmetical semigroups ⋮ A ``supernormal partition statistic ⋮ Analogues of Alladi's formula ⋮ Analogues of Alladi's formula over global function fields ⋮ The Ramanujan sum and Chebotarev densities

Cites Work

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• A new formula for Chebotarev densities
• Duality between prime factors and an application to the prime number theorem for arithmetic progressions
• On an additive arithmetic function
• Sarnak's conjecture: what's new
• Formulas for Chebotarev densities of Galois extensions of number fields
• Elementary methods in the study of the distribution of prime numbers
• Equivalents of the Riemann Hypothesis

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