Shifted convolution L-series values for elliptic curves

被引：0
作者：
Asra Ali
Nitya Mani
机构：
[1] Massachusetts Institute of Technology,Department of Mathematics
[2] Stanford University,Department of Mathematics
来源：
Archiv der Mathematik | 2018年 / 110卷
关键词：
Elliptic curve; Modular form; L-series values; Holomorphic projection; Eisenstein series; Modularity theorem; Complex multiplication.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using explicit constructions of the Weierstrass mock modular form and Eisenstein series coefficients, we obtain closed formulas for the generating functions of values of shifted convolution L-functions associated to certain elliptic curves. These identities provide a surprising relation between weight 2 newforms and shifted convolution L-values when the underlying elliptic curve has modular degree 1 with conductor N such that genus(X0(N))=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text {genus}(X_0(N)) = 1$$\end{document}.
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页码：225 / 244
页数：19
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