L-functions of second-order cusp forms

被引：0

作者：

N. Diamantis

M. Knopp

G. Mason

C. O’Sullivan

机构：

[1] University of Nottingham,School of Mathematical Sciences

[2] Temple University,Department of Mathematics

[3] University of California Santa Cruz,Mathematics Department

[4] Bronx Community College of the City University of New York,Department of Math & Computer Science

来源：

The Ramanujan Journal | 2006年 / 12卷

关键词：

-functions; Converse theorems; Cuspforms; Second-order automorphic forms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We discuss equivalent definitions of holomorphic second-order cusp forms and prove bounds on their Fourier coefficients. We also introduce their associated L-functions, prove functional equations for twisted versions of these L-functions and establish a criterion for a Dirichlet series to originate from a second order form. In the last section we investigate the effect of adding an assumption of periodicity to this criterion.

引用

页码：327 / 347

页数：20

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