TY - JOUR
T1 - On mod p nonvanishing of special values of L-functions associated with cusp forms on GL2 over imaginary quadratic fields
AU - Namikawa, Kenichi
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2012/3
Y1 - 2012/3
N2 - 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].
AB - 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].
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U2 - 10.1215/21562261-1503782
DO - 10.1215/21562261-1503782
M3 - Review article
AN - SCOPUS:84879743710
SN - 2156-2261
VL - 52
SP - 117
EP - 140
JO - Kyoto Journal of Mathematics
JF - Kyoto Journal of Mathematics
IS - 1
ER -