THE DISTRIBUTION OF THE NUMBER OF SUBGROUPS OF THE MULTIPLICATIVE GROUP

DOI10.1017/S1446788718000319zbMath1472.11267arXiv1710.00124OpenAlexW2963628102MaRDI QIDQ5208828

Greg Martin, Lee Troupe

Publication date: 22 January 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00124

zbMATH Keywords

additive functionsmethod of momentsmaximal orderdistribution of valuescounting subgroups

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

The distribution of sums and products of additive functions ⋮ Counting multiplicative groups with prescribed subgroups ⋮ The Number of Non-cyclic Sylow Subgroups of the Multiplicative Group Modulo n

Cites Work

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• On the number of restricted prime factors of an integer. I
• On the normal number of prime factors of \(\phi(n)\)
• Binomial Coefficients and the Distribution of the Primes
• On the distribution of amicable numbers.
• A variant of the Bombieri-Vinogradov theorem with explicit constants and applications
• SIEVING AND THE ERDŐS–KAC THEOREM

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