Homological interpretation of a theorem of L. Washington

[摘要] We give a homological interpretation of Washington's theorem about non-vanishing mod p of special L-values twisted by Dirichlet characters with l-power conductors. Then we make some conjectures to generalize the argument to the case of elliptic modular L-values using modular symbols. The conjecture is checked using numerical calculations. (C) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-11-01

[关键词] homology;modular symbols;modular curve;special L-values;Washington's theorem