The p-adic L-functions of evil Eisenstein series

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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.

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Bellaïche, J., & Dasgupta, S. (2015). The p-adic L-functions of evil Eisenstein series. Compositio Mathematica, 151(6), 999–1040. https://doi.org/10.1112/S0010437X1400788X

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