Hecke operators and Hilbert modular forms

Authors

PE Gunnells, University of Massachusetts - AmherstFollow
D Yasaki

Publication Date

2008

Journal or Book Title

ALGORITHMIC NUMBER THEORY

Abstract

Let F be a real quadratic field with ring of integers O and with class number 1. Let Γ be a congruence subgroup of GL₂ (O)GL2() . We describe a technique to compute the action of the Hecke operators on the cohomology H³ (G; \mathbb C)H3(;C) . For F real quadratic this cohomology group contains the cuspidal cohomology corresponding to cuspidal Hilbert modular forms of parallel weight 2. Hence this technique gives a way to compute the Hecke action on these Hilbert modular forms.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/340081606j6n0563/

Pages

387-401

Volume

5011

Book Series Title

LECTURE NOTES IN COMPUTER SCIENCE

Recommended Citation

Gunnells, PE and Yasaki, D, "Hecke operators and Hilbert modular forms" (2008). ALGORITHMIC NUMBER THEORY. 395.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/395