a1 Mathematical Institute, 24-29 St Giles, Oxford, United Kingdom (email: email@example.com)
We present p-adic algorithms for computing Hecke polynomials and Hecke eigenforms associated to spaces of classical modular forms, using the theory of overconvergent modular forms. The algorithms have a running time which grows linearly with the logarithm of the weight and are well suited to investigating the dimension variation of certain p-adically defined spaces of classical modular forms.
(Received March 18 2011)
(Online publication August 2011)
2000 Mathematics Subject Classification
The author is a Royal Society University Research Fellow. His work is supported in part by a grant from the European Research Council (204083).
Dedicated to Daqing Wan