## Experimental evidence for Maeda's conjecture on modular forms## Alexandru Ghitza, Angus McAndrew
We describe a computational approach to the verification of Maeda's conjecture
for the Hecke operator T
_{2} on the space of cusp forms of level one. We provide
experimental evidence for all weights less than 14 000, as well as some
applications of these results.
The algorithm was implemented using the
mathematical software Sage, and the code and resulting data were made
freely available.
Tbilisi Mathematical Journal, Vol. 5(2) (2012), pp. 55-69. |