Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions

DOI10.1186/1029-242X-2013-225zbMath1367.11013OpenAlexW2113748212WikidataQ59300571 ScholiaQ59300571MaRDI QIDQ2637566

Aeran Kim, Daeyeoul Kim, Ayyadurai Sankaranarayanan

Publication date: 12 February 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-225

zbMATH Keywords

generating functionsBernoulli numbersconvolution sumsdivisor functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items

Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions, Bernoulli numbers and certain convolution sums with divisor functions, Bernoulli identities and combinatoric convolution sums with odd divisor functions, On the number of representations of certain quadratic forms in 20 and 24 variables

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 sums of products of the extended \(q\)-Euler numbers
• Convolution sums of some functions on divisors
• CONVOLUTION SUM ∑_k<N/3σ₁(3^mk)σ₁(2ⁿ(N-3k))