Period-like polynomials for L-series associated with half-integral weight cusp forms

被引：1

作者：

Branch, James ^{[1
]}

Diamantis, Nikolaos ^{[1
]}

Raji, Wissam ^{[2
,3
]}

Rolen, Larry ^{[4
]}

机构：

[1] Univ Nottingham, Nottingham, England

[2] Amer Univ Beirut, Beirut, Lebanon

[3] Ctr Adv Math Sci, Number Theory Res Unit, Beirut, Lebanon

[4] Vanderbilt Univ, Nashville, TN USA

来源：

RESEARCH IN THE MATHEMATICAL SCIENCES | 2024年 / 11卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

MODULAR-FORMS;

D O I：

10.1007/s40687-024-00455-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given the L-series of a half-integral weight cusp form, we construct polynomials behaving similarly to the classical period polynomial of an integral weight cusp form. We also define a lift of half-integral weight cusp forms to integral weight cusp forms that are compatible with the L-series of the respective forms.

引用

页数：15

共 7 条

[1]

Bruggeman R., 2018, Mem. AMS, V253, P1212

[2]

Iwaniec Henryk., 1997, GRADUATE STUDIES MAT, V17

[3] Special values of Hecke L-functions of modular forms of half-integral weight and cohomology [J].