The smallest invariant factor of the multiplicative group

DOI10.1142/S1793042120500736zbMath1456.11177arXiv1908.00035MaRDI QIDQ3295478

Ben Chang, Greg Martin

Publication date: 10 July 2020

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

Full work available at URL: https://arxiv.org/abs/1908.00035

zbMATH Keywords

Selberg-Delange methodmultiplicative groupinvariant factor decompositionintegers with restricted prime factors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) Finite abelian groups (20K01) Distribution of integers with specified multiplicative constraints (11N25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (3)

Distribution \(\bmod{p}\) of Euler's totient and the sum of proper divisors ⋮ 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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• Values of the Euler phi function not divisible by a given odd prime
• Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function
• Carmichael's lambda function
• Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields

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