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.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 11F46, 11F37, 11F50
Keywords: Siegel modular forms, Jacobi forms, Maass relation 
@article{DOCMA_2016__21__a39,
     author = {Hayashida, Shuichi},
     title = {Lifting from two elliptic modular forms to {Siegel} modular forms of half-integral weight of even degree},
     journal = {Documenta mathematica},
     pages = {125--196},
     publisher = {mathdoc},
     volume = {21},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a39/}
}
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Hayashida, Shuichi. 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. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a39/