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Weber functions and generalized theta-functions associated with Hecke operators

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In this paper, we investigate the action of the Hecke operators to the logarithm of families of Weber functions and generalized theta-functions.

Abstract

In this paper, we investigate the action of the Hecke operators to the logarithm of families of Weber functions and generalized theta-functions.

참고문헌 (15)

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  11. Y. Simsek, "On Weierstrass (z) -function Hardy sums and Eisenstein series", Proc. Jangjeon Math. Soc, 7(2), pp.99~108 (2004)
  12. Y. Simsek, "Remarks on Dedekind eta function theta functions and Eisenstein series under the Hecke operators", Adv. Stud. Contemp. Math, 10(1), pp.15~24 (2005)
  13. Y. Simsek, "Transformation of four Titchmarsh-type in…nite integrals and generalized Dedekind sums associated with Lambert series", Adv. Stud. Contemp. Math, 9(2), pp.195~202 (2004)
  14. Y. Simsek, "Remarks on reciprocity laws of the Dedekind and Hardy sums", Adv. Stud. Contemp. Math, 12(2), pp.237~246 (2006)
  15. M. Waldschmidt, "From Number Theory to Physics" (1995), Springer-Verlag

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