Evaluation of divisor functions of matrices

DOI10.4064/AA-74-2-155-159zbMath0848.15015OpenAlexW955074858MaRDI QIDQ4877377

Gautami Bhowmik

Publication date: 12 May 1996

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

Full work available at URL: https://eudml.org/doc/206843

zbMATH Keywords

divisor functionHermite normal formSmith normal formintegral matricesSmith invariantsmultiplicative arithmetical function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (8)

Counting subgroups of fixed order in finite abelian groups ⋮ Unnamed Item ⋮ The number of subgroups of finite abelian p-groups of rank 4 and higher ⋮ Algebra of matrix arithmetic ⋮ On the number of subgroups of a given exponent in a finite abelian group ⋮ A Turán-Kubilius inequality for integer matrices ⋮ Finite groups whose set of numbers of subgroups of possible order has exactly 2 elements ⋮ A connection between the number of subgroups and the order of a finite group

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