Boundedness of denominators of special values of the L-functions for modular forms
Abstract
For a cuspidal Hecke eigenform F for Spn(Z) and a Dirichlet character let L(s,F,,St) be the standard L-function of F twisted by . Boecherer showed the boundedness of denominators of the algebraic part of L(m,F,,St) at a critical point m when varies. In this paper, we give a refined version of his result We also prove a similar result for the products of Hecke L functions of primitive forms for SL2(Z).
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