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The $p$-adic $L$-functions of evil Eisenstein series

Published online by Cambridge University Press:  13 January 2015

Joël Bellaïche
Affiliation:
Brandeis University, 415 South Street, Waltham, MA 02454-9110, USA email jbellaic@brandeis.edu
Samit Dasgupta
Affiliation:
Department of Mathematics, University of California Santa Cruz, 1156 High Street, Santa Cruz, CA 95064, USA email dasgupta@post.harvard.edu
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Abstract

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We compute the $p$-adic $L$-functions of evil Eisenstein series, showing that they factor as products of two Kubota–Leopoldt $p$-adic $L$-functions times a logarithmic term. This proves in particular a conjecture of Glenn Stevens.

Type
Research Article
Copyright
© The Authors 2015 

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