MacMahon's sums-of-divisors and allied q-series

2023/11/13 by Tewodros Amdeberhan, Ken Ono, Amdeberhan, Tewodros +3 · 5 citations
Mathematics · #11A25 #11F03 #11F11 #11F33 #11F50 #11M41 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2311.07496

openalex publication_date 2023/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Here we investigate the q-series \beginalign* U_a(q)&=∑_n=0^∞ MO(a;n)qⁿ&:=∑_0< k₁

Cited by

• A Generalization of MacMahon Series via Cyclotomic Polynomials
• MacMahon-type q-series
• Schur Eisenstein series and Schur MacMahon series
• q-Binomial expansions of the truncated MacMahon's q-series
• An identity for generating series of deformations of multiple zeta values within an algebraic framework

Related

• Further study on MacMahon-type sums of divisors
• Remarks on MacMahon's q-series
• Arithmetic properties of MacMahon-type sums of divisors: the odd case
• Quasimodularity and Limiting Behavior for Variations of MacMahon Series
• MacMahon's sums-of-divisors and their connection to multiple Eisenstein series