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摘要翻译：
模体椭圆多对数的专门化称为模体Eisenstein类。对于L-函数的特殊值的应用，计算这些类的实现是很重要的。本文证明了模Eisenstein类的同分实现可以用p-adic Eisenstein-Kronecker级数来表示，它仅限于模曲线的普通轨迹。这些p-adic模形式是用Katz构造的具有p-adic模形式的值的两变量p-adic测度定义的。
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英文标题：
《p-adic elliptic polylogarithm, p-adic Eisenstein series and Katz measure》
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作者：
Kenichi Bannai and Guido Kings
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Number Theory 数论
分类描述：Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数，丢番图方程，解析数论，代数数论，算术几何，伽罗瓦理论
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
The specializations of the motivic elliptic polylog are called motivic Eisenstein classes. For applications to special values of L-Functions, it is important to compute the realizations of these classes. In this paper, we prove that the syntomic realization of the motivic Eisenstein classes, restricted to the ordinary locus of the modular curve, may be expressed using p-adic Eisenstein-Kronecker series. These p-adic modular forms are defined using the two-variable p-adic measure with values in p-adic modular forms constructed by Katz.
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PDF链接：
https://arxiv.org/pdf/0707.3747
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