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 , 1 ( τ , z ; δ ; 0 ) , and F 3 2 , 0 ( τ ; σ , δ ) .