Torsions in Cohomology of $\text{SL}_2(\mathbb{Z})$ and Congruence of Modular Forms
Taiwang Deng
Abstract:We describe torsion classes in the first cohomology group of SL 2 (Z). In particular, we obtain generalized Dickson's invariants for p-power polynomial rings. Secondly, we describe torsion classes in the zero-th homology group of SL 2 (Z) as a module over the torsion invariants. As application, we obtain various congruences between cuspidal forms of level one and Eisenstein series.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.