Equidistribution of Eisenstein Series in the Level Aspect

被引：0
作者：
Shin-ya Koyama
机构：
[1] Ewha Womans University,The Institute of Mathematical Sciences
来源：
Communications in Mathematical Physics | 2009年 / 289卷
关键词：
Eisenstein Series; Cusp Form; Congruence Subgroup; Euler Product; Level Aspect;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove an equidistribution property of the Eisenstein series for congruence subgroups as the level goes to infinity. This is an analogy of the phenomenon called quantum ergodicity.
引用
收藏
相关论文
共 18 条
[1]  
Duke W.(2002)The subconvexity problem for Artin Invent. Math. 149 489-577
[2]  
Friedlander J.B.(1994)-functions Ann. Math. 140 161-181
[3]  
Iwaniec H.(2000)Coefficients of Maass forms and the Siegel zero Commun. Math. Phys. 215 477-486
[4]  
Hoffstein J.(2002)Quantum ergodicity of Eisenstein series for arithmetic 3-manifolds Duke Math. J. 114 123-191
[5]  
Lockhart P.(2006)Rankin-Selberg Ann. of Math. 163 165-219
[6]  
Koyama S.(1995)-functions in the level aspect Publ. I.H.E.S. 81 207-237
[7]  
Kowalski E.(1916)Invariant measures and arithmetic quantum unique ergodicity Messenger of Math. 45 81-84
[8]  
Michel P.(1994)Quantum ergodicity of eigenfunctions on Commun. Math. Phys 161 195-213
[9]  
Vanderkam J.(2001)Some formulae in the arithmetic theory of numbers J. Evol. Equ. 1 277-290
[10]  
Lindenstrass E.(2001)The behavior of eigenstates of arithmetic hyperbolic manifolds J. Funct. Anal. 184 419-445
12