QUANTUM VARIANCE FOR DIHEDRAL MAASS FORMS

被引：2

作者：

Huang, Bingrong ^{[1
,2
]}

Lester, Stephen ^{[3
,4
]}

机构：

[1] Shandong Univ, Data Sci Inst, Jinan 250100, Shandong, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[3] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

[4] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 376卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

SELBERG L-FUNCTIONS; MATRIX-ELEMENTS; LOWER BOUNDS; WEIGHT; MOMENTS; ERGODICITY; COEFFICIENTS; PRODUCTS; UNIFORM; VALUES;

D O I：

10.1090/tran/8780

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an asymptotic formula for the weighted quantum variance of dihedral Maass forms on Gamma 0(D)\H in the large eigenvalue limit, for certain fixed D. As predicted in the physics literature, the resulting quadratic form is related to the classical variance of the geodesic flow on Gamma 0(D)\H, but also includes factors that are sensitive to underlying arithmetic of the number root field Q( D).

引用

页码：643 / 695

页数：53

共 69 条

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