Let f be a cusp formonGL2 over an imaginary quadratic field F of class number 1, and let p be an odd prime which satisfies some mild conditions. Then we show the existence of a finite-order Hecke character of F×A such that the algebraic part of the special value of L-functions of f at s=1 is a p-adic unit. This is an analogous result to the result of A. Ash and G. Stevens for GL2 over the field of rationals obtained in [AS].
All Science Journal Classification (ASJC) codes
- 数学 (全般)