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
收藏
页码：327 / 347
页数：20
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