Journal of the Ramanujan Mathematical Society
Volume 33, Issue 3, September 2018 pp. 297–334.
Mod p base change transfer for GL2
Authors:
Andrew Jones and Mehmet Haluk Sengün
Author institution:School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, UK
Summary:
We discuss Base Change functoriality for mod~p eigenforms for
GL2 over number fields. We carry out systematic computer
experiments and collect data supporting its existence in cases of
field extensions K/F where F is imaginary quadratic and K is
CM quartic.
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