Geodesic
Lifting from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree
Documenta mathematica, Tome 21 (2016), pp. 125-196

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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.
DOI : 10.4171/dm/529
Classification : 11F37, 11F46, 11F50
Mots-clés : Siegel modular forms, Jacobi forms, Maass relation 
Shuichi Hayashida. Lifting from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree. Documenta mathematica, Tome 21 (2016), pp. 125-196. doi: 10.4171/dm/529
@article{10_4171_dm_529,
     author = {Shuichi Hayashida},
     title = {Lifting from two elliptic modular forms to {Siegel} modular forms of half-integral weight of even degree},
     journal = {Documenta mathematica},
     pages = {125--196},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/529},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/529/}
}
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