Correspondence among Eisenstein series E-2,E-1(tau,z), H-3/2(tau) and E-2(tau)
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- Title
- Correspondence among Eisenstein series E-2,E-1(tau,z), H-3/2(tau) and E-2(tau)
- Authors
- Choie, YJ
- Date Issued
- 1997-06
- Publisher
- SPRINGER VERLAG
- Abstract
- One of the aims of this paper is to give a detail to produce a Jacobi- Eisenstein series of weight 2 and index 1, E-2,E-1 (tau,z) = -12 Sigma(n,r is an element of Zr2 less than or equal to 4n) H(4n - r(2))q(n) xi(r), whose Fourier expansions are the same type as those of E-k,E-1(tau, z), k > 3, by using Hecke trick. We also study a correspondence among three Eisenstein series E-2,E-1(tau, z), H-3/2 (tau) and E-2(tau) Moreover, we study that a correspondence between nonholomorphic Eisenstein series.
- Keywords
- MODULAR-FORMS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/21283
- DOI
- 10.1007/BF02677465
- ISSN
- 0025-2611
- Article Type
- Article
- Citation
- MANUSCRIPTA MATHEMATICA, vol. 93, no. 2, page. 177 - 187, 1997-06
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