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Correspondence among Eisenstein series of weight 2
Authors:YoungJu Choie  Min Lee
Institution:a Department of Mathematics and PMI, POSTECH, Pohang 790-784, Republic of Korea
b Department of Mathematics, Columbia University, New York, NY 10027, USA
Abstract:There is a known correspondence among modular forms, Jacobi forms and Siegel modular forms of genus 2. In this paper we show this correspondence can be extended to non-holomorphic Eisenstein series, in particular, among View the MathML source, E2,1(τ,z;δ;0), and View the MathML source.
Keywords:Non-holomorphic Eisenstein series  Jacobi form  Siegel-Eisenstein series  Non-holomorphic Poincaré  series
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