摘要

We derive an elementary formula for the trace of a Hecke operator acting on a space of algebraic modular forms, as a sum of character values. We describe explicit computations in the case of the unitary group that make possible the determination of the eigenvalues of a certain Hecke operator. This produces numerical evidence for a analogue of Harder%26apos;s conjecture, on congruences between Hecke eigenvalues modulo divisors of critical L-values.

  • 出版日期2013-4-3