Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SERIES RELATIONS FROM CERTAIN MODULAR TRANSFORMATION FORMULA

  • Received : 2011.05.17
  • Accepted : 2011.08.13
  • Published : 2011.09.30
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Abstract

B. C. Berndt [4, 5] evaluated several classes of infinite series and established many relations between various infinite series. In this paper, continuing his work, we derive new relations between infinite series.

Keywords

Acknowledgement

Supported by : Mokwon University

References

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  2. B. C. Berndt, Two new proofs of Lerch's functional equation, Proc. Amer. Math. Soc. 32 (1972), 403-408.
  3. B. C. Berndt, Generalized Eisenstein series and modified Dedekind sums, J. Reine. Angew. Math. 272 (1975), 182-193.
  4. B. C. Berndt, Modular transformations and generalizations of several formulae of Ramanujan, Rocky Mountain J. Math. 7 (1977), no. 1, 147-189. https://doi.org/10.1216/RMJ-1977-7-1-147
  5. B. C. Berndt, Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan, J. Reine. Angew. Math. 304 (1978), 332-365.
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