ON FOURIER COEFFICIENTS OF MAASS WAVE-FORMS FOR PSL(2, Z)

Authors
HEJHAL DA ARNO S
Citation
Da. Hejhal et S. Arno, ON FOURIER COEFFICIENTS OF MAASS WAVE-FORMS FOR PSL(2, Z), Mathematics of computation, 61(203), 1993, pp. 245-267
Citations number
38
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
61
Issue
203
Year of publication
1993
Pages
245 - 267
Database
ISI
SICI code
0025-5718(1993)61:203<245:OFCOMW>2.0.ZU;2-P
Abstract
In this paper, we use machine experiments to test the validity of the Sato-Tate conjecture for Maass waveforms on PSL(2, Z)\H. We also elabo rate on Stark's iterative method for calculating the Fourier coefficie nts of such forms.