Eisenstein series in Ramanujan's Lost Notebook

DOI10.1023/A:1009834123932zbMath1024.11026OpenAlexW114546150MaRDI QIDQ1567064

Heng Huat Chan, Seung Hwan Son, Bruce C. Berndt, Jaebum Sohn

Publication date: 19 May 2003

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009834123932

zbMATH Keywords

Eisenstein seriesidentities of Ramanujan

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Dedekind eta function, Dedekind sums (11F20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (11)

Two theta function identities and some Eisenstein series identities of Ramanujan ⋮ Evaluation of the convolution sum ∑_i+25j=n σ(i)σ(j) ⋮ EVALUATION OF CONVOLUTION SUMS AND FOR k = a · b = 21, 33, AND 35 ⋮ On quintic Eisenstein series and points of order five of the Weierstrass elliptic functions ⋮ Unnamed Item ⋮ Eisenstein series and theta functions to the septic base ⋮ Unnamed Item ⋮ Hypergeometric transformation formulas of degrees 3, 7, 11 and 23 ⋮ Evaluation of two convolution sums involving the sum of divisors function ⋮ Quintic and septic Eisenstein series ⋮ Evaluation of convolution sums \(\sum_{l+15m=n} \sigma (l) \sigma (m)\) and \(\sum_{3l+5m=n} \sigma (l) \sigma (m)\)

This page was built for publication: Eisenstein series in Ramanujan's Lost Notebook