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In this paper, using a transformation formula for a certain series which comes from the generalized non-analytic Eisenstein series, we obtained some infinite series identities which contain Ramanujan's formula and author's previous results.
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참고문헌 (10)
참고문헌 신청
B. C. Berndt / 1975 / Generalized Eisenstein series and modified Dedekind sums / J. Reine. Angew. Math 272:182~193
B. C. Berndt / 1977 / Modular transformations and generalizations of several formulae of Ramanujan / The Rocky mountain J. Math 7(1):147~189
B. C. Berndt / 1978 / Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan / J. Reine. Angew. Math 304:332~365
Y. Komori / Barnes multiple zeta-functions, Ra-manujan's formula, and relevant series involving hyperbolic functions
S. Lim / 2010 / Infinite series Identities from modular transformation formulas that stem from generalized Eisenstein series / Acta Arith 141(3):241~273
B. C. Berndt / 1977 / Modular transformations and generalizations of several formulae of Ramanujan / The Rocky mountain J. Math 7(1):147~189
B. C. Berndt / 1978 / Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan / J. Reine. Angew. Math 304:332~365
Y. Komori / Barnes multiple zeta-functions, Ra-manujan's formula, and relevant series involving hyperbolic functions
S. Lim / 2010 / Infinite series Identities from modular transformation formulas that stem from generalized Eisenstein series / Acta Arith 141(3):241~273
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