Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function

Kurokawa, Nobushige

Kodai Math. J., Tome 32 (2009) no. 1, p. 391-403 / Harvested from Project Euclid

Résumé

We calculate cuspidal values of the modular transform of the principal Eisenstein series of weight 1. We obtain this by looking at derivatives of the double sine function. Our result is considered to be an explicit calculation of values of a Stirling modular function.

Publié le : 2009-10-15
Classification:

@article{1257948885,
     author = {Kurokawa, Nobushige},
     title = {Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 391-403},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257948885}
}

Kurokawa, Nobushige. Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function. Kodai Math. J., Tome 32 (2009) no. 1, pp.  391-403. http://gdmltest.u-ga.fr/item/1257948885/