GENERATING FUNCTIONS FOR HECKE OPERATORS
2009 ◽
Vol 05
(01)
◽
pp. 125-140
◽
Keyword(s):
Fix a prime N, and consider the action of the Hecke operator TN on the space [Formula: see text] of modular forms of full level and varying weight κ. The coefficients of the matrix of TN with respect to the basis {E4i E6j | 4i + 6j = κ} for [Formula: see text] can be combined for varying κ into a generating function FN. We show that this generating function is a rational function for all N, and present a systematic method for computing FN. We carry out the computations for N = 2, 3, 5, and indicate and discuss generalizations to spaces of modular forms of arbitrary level.
2021 ◽
Vol 27
(3)
◽
pp. 184-193
Keyword(s):
2001 ◽
Vol 44
(3)
◽
pp. 282-291
◽
Keyword(s):
2003 ◽
Vol DMTCS Proceedings vol. AC,...
(Proceedings)
◽
Keyword(s):
1971 ◽
Vol 42
◽
pp. 189-195
◽
2015 ◽
Vol DMTCS Proceedings, 27th...
(Proceedings)
◽
2012 ◽
Vol 08
(03)
◽
pp. 715-748
◽
Keyword(s):
Keyword(s):