p-ADIC EISENSTEIN-KRONECKER FUNCTIONS AND THE ELLIPTIC POLYLOGARITHM FOR CM ELLIPTIC CURVES
نویسندگان
چکیده
In this paper, we construct p-adic analogues of the Kronecker double series, which we call the Eisenstein-Kronecker series, as Coleman functions on an elliptic curve with complex multiplication. We then show that the periods of the specialization of the p-adic elliptic polylogarithm sheaf to arbitrary non-zero points of the elliptic curve may be expressed using these functions.
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