Siegel modular forms of half integral weight and a lifting conjecture
Hayashida, Shuichi ; Ibukiyama, Tomoyoshi
J. Math. Kyoto Univ., Tome 45 (2005) no. 4, p. 489-530 / Harvested from Project Euclid
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A conjecture on lifting to Siegel cusp forms of half-integral weight $k - 1/2$ of degree two from each pair of cusp forms of $SL_{2}(\mathbb{Z})$ of weight $2k - 2$ and $2k - 4$ is given with a conjectural relation of the $L$ functions and numerical evidences. We also describe the space of Siegel modular forms of half-integral weight, its “plus subspace” and Jacobi forms of degree two by explicitly given theta functions.
Publié le : 2005-05-15
Classification:  11F46,  11F37,  11F50 
@article{1250281971,
     author = {Hayashida, Shuichi and Ibukiyama, Tomoyoshi},
     title = {Siegel modular forms of half integral weight and a lifting conjecture},
     journal = {J. Math. Kyoto Univ.},
     volume = {45},
     number = {4},
     year = {2005},
     pages = { 489-530},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281971}
}

Hayashida, Shuichi; Ibukiyama, Tomoyoshi. Siegel modular forms of half integral weight and a lifting conjecture. J. Math. Kyoto Univ., Tome 45 (2005) no. 4, pp.  489-530. http://gdmltest.u-ga.fr/item/1250281971/