Journal of the Ramanujan Mathematical Society

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Mod p Base Change Transfer For Gl2


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1 School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, United Kingdom
     

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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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  • Mod p Base Change Transfer For Gl2

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Authors

Andrew Jones
School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, United Kingdom
Mehmet Haluk Sengun
School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, United Kingdom

Abstract


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.

References