A SUPPLEMENT TO "ON THE FOURIER COEFFICIENTS OF HILBERT MODULAR FORMS OF HALF-INTEGRAL WEIGHT OVER ARBITRARY ALGEBRAIC NUMBER FIELDS, TSUKUBA J. MATH. 37(2013), 1-11"

被引：1

作者：

Kojima, Hisashi ^{[1
]}

机构：

[1] Saitama Univ, Dept Math, Grad Sch Sci & Engn, Sakura Ku, 255 Shimo Okubo, Saitama 3388570, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 02期

关键词：

Fourier coefficients of modular forms; Modular forms of half-integral weight; Maass wave forms; Special values of automorphic L-series; MAASS WAVE-FORMS;

D O I：

10.21099/tkbjm/20214502163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this note is to prove that the Shintani lift of Hilbert modular forms over algebraic number fields commutes with the action of Hecke operators. We show our assertion using the commutativity of the Shimura lift with Hecke operators and some properties of adjoint mappings. This commutativity of the Shintani lift plays an essential role for the proof of the Waldspurger-type theorem concerning the Fourier coefficients of modular forms of half-integral weight over arbitrary algebraic number fields.

引用

页码：163 / 169

页数：7

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