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ON THE GENERALIZED TWO VARIABLE EISENSTEIN SERIES
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  • Journal title : Honam Mathematical Journal
  • Volume 36, Issue 4,  2014, pp.895-899
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2014.36.4.895
 Title & Authors
ON THE GENERALIZED TWO VARIABLE EISENSTEIN SERIES
Lim, Sung-Geun;
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 Abstract
In this paper, we consider generalized two variable Eisenstein series. We give analytic continuation and prove modular transformation formulae for them.
 Keywords
Eisenstein series;analytic continuation;modular transformation;
 Language
English
 Cited by
1.
Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables, The Ramanujan Journal, 2017, 44, 2, 237  crossref(new windwow)
 References
1.
B. C. Berndt, Two new proofs of Lerch's functional equation, Proc. Amer. Math. Soc. 32 (1972), 403-408.

2.
B. C. Berndt, Modular transformations and generalizations of several formulae of Ramanujan, The Rocky mountain J. Math. 7(1) (1977), 147-189. crossref(new window)

3.
N. N. Lebedev, Special functions and their applications, Dover Publications, Inc., New York, 1972.

4.
S. Lim, Analytic continuation of generalized non-holomorphic Eisenstein series, Korean J. Math. 21(3) (2013), 285-292. crossref(new window)

5.
S. Lim, Modular transformation formulae for generalized non-holomorphic Eisen-stein series, Honam Mathematical J. 35(3) (2013), 507-513. crossref(new window)

6.
P. Pasles and W. Pribitkin, A generalization of the Lipschitz summation formula and applications, Proc. Ams. Math. Soc. 129(11) (2001), 3177-3184. crossref(new window)