2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS
2005 ◽
Vol 01
(01)
◽
pp. 75-101
◽
Keyword(s):
It is a classical observation of Serre that the Hecke algebra acts locally nilpotently on the graded ring of modular forms modulo 2 for the full modular group. Here we consider the problem of classifying spaces of modular forms for which this phenomenon continues to hold. We give a number of consequences of this investigation as they relate to quadratic forms, partition functions, and central values of twisted modular L-functions.
1995 ◽
Vol 138
◽
pp. 179-197
◽
Keyword(s):
2020 ◽
Vol 16
(05)
◽
pp. 1111-1152
1997 ◽
Vol 37
(4)
◽
pp. 701-715
2014 ◽
Vol 17
(A)
◽
pp. 330-348
Keyword(s):
2009 ◽
Vol 05
(05)
◽
pp. 845-857
◽
Keyword(s):