The p-adic Shintani modular symbol and evil Eisenstein series
Number Theory
2014-09-30 v1
Abstract
We compute the p-adic L-function (in the sense of Pollack-Stevens and Bellaiche) of the "evil twin" Eisenstein series. We use Solomon's Shintani cocycle to construct a p-adic Shintani modular symbol, and show how to specialize this modular symbol to overconvergent modular symbols with the same p-adic L-function as evil/critical-slope Eisenstein series. This gives a new proof of recent results of Bellaiche and Dasgupta.
Keywords
Cite
@article{arxiv.1409.8155,
title = {The p-adic Shintani modular symbol and evil Eisenstein series},
author = {G. Ander Steele},
journal= {arXiv preprint arXiv:1409.8155},
year = {2014}
}
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28 pages