New connections between functions from additive and multiplicative number theory

DOI10.1007/s00009-018-1091-2zbMath1457.11139OpenAlexW2793359652MaRDI QIDQ1635728

Mircea Merca

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1091-2

zbMATH Keywords

partitionsdivisorsarithmetic functions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Arithmetic functions; related numbers; inversion formulas (11A25) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (4)

The partition-frequency enumeration matrix ⋮ Unnamed Item ⋮ Generalized Lambert series and Euler's pentagonal number theorem ⋮ A theta identity of Gauss connecting functions from additive and multiplicative number theory

Cites Work

• Sums of averages of gcd-sum functions
• The Lambert series factorization theorem
• Asymptotic results for a class of arithmetical functions
• The unitary analogue of Pillai's arithmetical function
• On Jordan's generalization of Euler's function
• On a gcd-sum function
• The partition function \(p(n)\) in terms of the classical Möbius function
• Arithmetical Functions of a Greatest Common Divisor. I
• Arithmetical Functions of a Greatest Common Divisor, III. Cesàro's Divisor Problem
• A Partition Identity Related to Stanley’s Theorem
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