1. Introduction. Since its genesis over a century ago in work of Jacobi, Riemann, Poincar ́e and Klein [Ja29, Ri53, Le64], the theory of automorphic forms has burgeoned from a branch of analytic number theory into an industry all its own. Natural extensions of the theory are to integrals [Ei57, Kn94a, KS96, Sh94], thereby encompassing Hurwitz’s prototype, the analytic weight 2 Eisenstein series [Hu81], and to nonanalytic forms [He59, Ma64, Sel56, ER74, Fr85]. A generalization in both directions at once has also been the subject of some scrutiny. In the present study, inspired by unpublished work of Knopp [Kn94], we consider the nonanalytic automorphic integral.
@article{bwmeta1.element.bwnjournal-article-aav90i2p155bwm,
author = {Paul C. Pasles},
title = {Nonanalytic automorphic integrals on the Hecke groups},
journal = {Acta Arithmetica},
volume = {89},
year = {1999},
pages = {155-171},
zbl = {0935.11017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav90i2p155bwm}
}
Paul C. Pasles. Nonanalytic automorphic integrals on the Hecke groups. Acta Arithmetica, Tome 89 (1999) pp. 155-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav90i2p155bwm/
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