The p-adic L-functions of Evil Eisenstein Series

Abstract

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.

49 pages

References in corpus (1)

• Variation of Iwasawa invariants in Hida families

Cited by in corpus (3)

• Congruences with Eisenstein series and mu-invariants
• Non-cuspidal Bianchi modular forms and Katz $p$-adic $L$-functions
• Eisenstein degeneration of Euler systems