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CHARACTER ANALOGUES OF INFINITE SERIES FROM A CERTAIN MODULAR TRANSFORMATION FORMULA
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In this paper, we nd character analogues of in nite series identities which come from a certain modular transformation formula given by B. C. Berndt.
Abstract
In this paper, we nd character analogues of in nite series identities which come from a certain modular transformation formula given by B. C. Berndt.
참고문헌 (6)
- B. C. Berndt, "Two new proofs of Lerch's functional equation", Proc. Amer. Math. Soc, pp.403~408 (1972)
- B. C. Berndt, "Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan", J. Reine Angew. Math, 303, pp.332~365 (1978)
- B. C. Berndt, "Character analogues of formulas of Ramanujan, Koshliakov and Guinand, to appear in Adv", in Appl. Math
- H. H. Chan, "On the equivalence of Ramanujan's partition identities and a connection with the Rogers-Ramanujan continued fraction", J. Math. Anal. Appl, 198(1), pp.111~120 (1996)
- A. P. Guinand, "Some rapidly convergent series for the Riemann -function", Quart. J. Math. Oxford Ser, 6(2), pp.156~160 (1955)
- S. Ramanujan, "The Lost Notebook and Other Unpublished Papers" (1988), Narosa
관련 논문AI추천
SOME INFINITE SERIES IDENTITIES임성근강원경기수학회 · 한국수학논문집2012 · 제20권 제4호Character analogues of infinite series identities related to generalized non-holomorphic Eisenstein series임성근강원경기수학회 · 한국수학논문집2022 · 제30권 제1호Transformation formulas for the generating functions for cranks임성근영남수학회 · East Asian Mathematical Journal2011 · 제27권 제3호Generalized Hardy-Berndt sumsM. Can, M. Cenkci, V. Kurt장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제1호Identities about infinite series containing hyperbolic functions and trigonometric functions임성근강원경기수학회 · 한국수학논문집2011 · 제19권 제4호On certain Ramanujan's modular equations of degree 7K. R. Vasuki, R. G. veeresha장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호
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