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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