2016•Documenta MathematicaOpen access
Lifting from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree
Shuichi Hayashida
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Abstract
The aim of this paper is to construct lifts from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree under the assumption that the constructed Siegel modular form is not identically zero. The key ingredient of the proof is a new Maass relation for Siegel modular forms of half-integral weight and any degree.
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