A certain class of Poincaré series on {${\rm Sp}\sb n$}. {II}

Kohnen, Winfried; Sengupta, Jyoti

Tohoku Math. J. (2), Tome 54 (2002) no. 1, p. 61-69 / Harvested from Project Euclid

Résumé

We compute the Petersson scalar product of certain Poincaré series introduced in our previous paper against a Siegel cusp form and show that it can be written as a certain averaged cycle integral. This generalizes earlier work by Katok, Zagier and the first named author in the case of genus 1.

Publié le : 2002-03-14
Classification: 11F46

@article{1113247179,
     author = {Kohnen, Winfried and Sengupta, Jyoti},
     title = {A certain class of Poincar\'e series on {${\rm Sp}\sb n$}. {II}},
     journal = {Tohoku Math. J. (2)},
     volume = {54},
     number = {1},
     year = {2002},
     pages = { 61-69},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113247179}
}

Kohnen, Winfried; Sengupta, Jyoti. A certain class of Poincaré series on {${\rm Sp}\sb n$}. {II}. Tohoku Math. J. (2), Tome 54 (2002) no. 1, pp.  61-69. http://gdmltest.u-ga.fr/item/1113247179/