Poincaré series and Eichler integrals

Pribitkin, Wladimir de Azevedo

Illinois J. Math., Tome 53 (2009) no. 1, p. 883-897 / Harvested from Project Euclid

Résumé

By employing work concerning Selberg’s Kloosterman zeta-function, we carry out the decomposition of a special value of a nonanalytic Poincaré series of nonpositive even weight, with a nonsingular multiplier system, on the full modular group. The summands that emerge are connected meaningfully to each other as well as to classical expressions for Eichler integrals and modular forms.

Publié le : 2009-05-15
Classification: 11F11, 11F30, 11F37, 11F67, 11F72

@article{1286212921,
     author = {Pribitkin, Wladimir de Azevedo},
     title = {Poincar\'e series and Eichler integrals},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 883-897},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1286212921}
}

Pribitkin, Wladimir de Azevedo. Poincaré series and Eichler integrals. Illinois J. Math., Tome 53 (2009) no. 1, pp.  883-897. http://gdmltest.u-ga.fr/item/1286212921/