Arithmetic convolution sums derived from eta quotients related to divisors of 6

DOI10.1515/math-2022-0031zbMath1493.11009OpenAlexW4226337314MaRDI QIDQ2135074

Daeyeoul Kim, Jihyun Hwang, Nazli Yildiz Ikikardes

Publication date: 4 May 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0031

zbMATH Keywords

\(q\)-seriesconvolution sumseta quotientrestricted divisor functions

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simple modular proof of Farkas' arithmetic identity modulo 4
• A modular look at Farkas' identities
• Extremal problems on components and loops in graphs
• On an arithmetical function
• Convolution identities for twisted Eisenstein series and twisted divisor functions
• Pairs of eta-quotients with dual weights and their applications
• Some arithmetic convolution identities
• Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials
• Evaluation of the convolution sums ∑ak+bl+cm=nσ(k)σ(l)σ(m) with lcm(a,b,c) = 7,8 or 9
• The effect of edge and vertex deletion on omega invariant
• Convolution sums of a divisor function for prime levels

This page was built for publication: Arithmetic convolution sums derived from eta quotients related to divisors of 6