p-ADIC ELLIPTIC POLYLOGARITHM, p-ADIC EISENSTEIN SERIES AND KATZ MEASURE

Bannai, Kenichi and Kings, Guido (2010) p-ADIC ELLIPTIC POLYLOGARITHM, p-ADIC EISENSTEIN SERIES AND KATZ MEASURE. AMERICAN JOURNAL OF MATHEMATICS, 132 (6). pp. 1609-1654. ISSN 0002-9327,

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Abstract

The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes In this paper we prove that the syntomic realization of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p ache Eisenstein series of negative weight which are p adic modular forms defined using the two variable p ache measure with values in p ache modular forms constructed by Katz The motivation of our research is the p adic Beilinson conjecture formulated by Perrin Riou

Item Type: Article
Uncontrolled Keywords: CURVES; COHOMOLOGY; REGULATORS; MOTIVES; FIELDS; PURITY;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Guido Kings
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Jul 2020 08:48
Last Modified: 06 Jul 2020 08:48
URI: https://pred.uni-regensburg.de/id/eprint/23765

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