호남수학학술지 (Honam Mathematical Journal)

  • 제35권3호
  • /
  • Pages.507-513
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  • 2013
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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MODULAR TRANSFORMATION FORMULAE FOR GENERALIZED NON-HOLOMORPHIC EISENSTEIN SERIES

  • 투고 : 2013.07.03
  • 심사 : 2013.07.13
  • 발행 : 2013.09.25
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초록

In this paper, we compute transformation formulae for generalized non-holomorphic Eisenstein series.

키워드

참고문헌

  1. B. C. Berndt, Generalized Eisenstein series and modified Dedekind sums, J. Reine. Angew. Math. 272 (1975), 182-193.
  2. B. C. Berndt, Modular transformations and generalizations of several formulae of Ramanujan, The Rocky mountain J. Math. 7(1) (1977), 147-189. https://doi.org/10.1216/RMJ-1977-7-1-147
  3. Joseph Lewittes, Analytic continuation of Eisenstein series, Trans. Amer. Math. Soc. 171 (1972), 469-490. https://doi.org/10.1090/S0002-9947-1972-0306148-1
  4. N. N. Lebedev, Special functions and their applications, Dover Publications, Inc., New York, 1972.
  5. H. Maass, Modular Functions of One Complex Variable, Tata Institute, Bombay, 1964.
  6. E. C. Titchmarsh, Theory of functions, Oxford University Press, 1952.

피인용 문헌

  1. ON THE GENERALIZED TWO VARIABLE EISENSTEIN SERIES vol.36, pp.4, 2014, https://doi.org/10.5831/HMJ.2014.36.4.895