INTERLACING OF ZEROS OF EISENSTEIN SERIES

被引：9

作者：

Griffin, Trevor ^{[1
]}

Kenshur, Nathan ^{[2
]}

Price, Abigail ^{[3
]}

Vandenberg-Daves, Bradshaw ^{[4
]}

Xue, Hui ^{[5
]}

Zhu, Daozhou ^{[5
]}

机构：

[1] Univ Idaho, Moscow, ID 83844 USA

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

[3] Hillsdale Coll, Hillsdale, MI 49242 USA

[4] Vassar Coll, Poughkeepsie, NY 12604 USA

[5] Clemson Univ, Sch Math & Stat Sci, Clemson, SC 29634 USA

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2021年 / 75卷 / 02期

基金：

美国国家科学基金会;

关键词：

zeros of modular forms; Eisenstein series; interlacing; PROPERTY;

D O I：

10.2206/kyushujm.75.249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E-k(Z) be the normalized Eisenstein series of weight k for the full modular group SL(2, 7L). Let a > 0 be an even integer. In this paper we completely determine when the zeros of E-k interlace with the zeros of Ek+a. This generalizes a result of Nozaki on the interlacing of zeros of E-k and Ek+12.

引用

页码：249 / 272

页数：24

共 7 条

[1] Some observations on the arithmetic of Eisenstein series for the modular group SL(2,Ζ) [J].