Overconvergent modular symbols
Baskar Balasubramanyam
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24-08-07

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Abstract

The notion of modular symbols was first introduced by Manin. We state some basic results which relate modular symbols to special values of L-functions and p-adic L-functions. We give Greenberg and Stevens construction of an overconvergent modular symbols which is a measure valued cohomology class attached to a Hida family of modular forms with certain interpolation properties. We will construct the Mazur-Kitagawa two variable p-adic L-function from the overconvergent modular symbol.