Convolution identities for twisted Eisenstein series and twisted divisor functions

DOI10.1186/1687-1812-2013-81zbMath1367.11012OpenAlexW2156780293WikidataQ59293113 ScholiaQ59293113MaRDI QIDQ2249140

Daeyeoul Kim, Abdelmejid Bayad

Publication date: 8 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-81

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Arithmetic functions; related numbers; inversion formulas (11A25) Automata sequences (11B85)

Related Items (12)

Arithmetic convolution sums derived from eta quotients related to divisors of 6 ⋮ Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions ⋮ On the problem σod(n) = σod(n+1) ⋮ Bernoulli numbers and certain convolution sums with divisor functions ⋮ Euler polynomials and combinatoric convolution sums of divisor functions with even indices ⋮ Bernoulli identities and combinatoric convolution sums with odd divisor functions ⋮ Evaluation of a certain combinatorial convolution sum in higher level cases ⋮ The multinomial convolution sums of certain divisor functions ⋮ Arithmetic properties derived from coefficients of certain eta quotients ⋮ Some result for binomial convolution sums of restricted divisor functions ⋮ The multinomial convolution sum of a generalized divisor function ⋮ Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials

Cites Work

• Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\)
• On power values of pyramidal numbers, I
• EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS
• CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS
• New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function
• Unsolved problems in number theory
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