Correspondence among Eisenstein series of weight 2

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 E-2((2)) (Z; 0), E-2,E-1 (tau, z; delta; 0), and F-3/2, (0) (tau; sigma, delta). (C) 2008 Elsevier Inc. All rights reserved.