Zeros of the weight two Eisenstein series

被引：7

作者：

Wood, Rachael ^{[1
]}

Young, Matthew P. ^{[2
]}

机构：

[1] Harding Univ, Searcy, AR 72149 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL OF NUMBER THEORY | 2014年 / 143卷

基金：

美国国家科学基金会;

关键词：

Modular forms; Eisenstein series; Zeros;

D O I：

10.1016/j.jnt.2014.04.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop some of the finer details of the location of the zeros of the weight two Eisenstein series. These zeros are the same as the zeros of the derivative of the Ramanujan delta function. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：320 / 333

页数：14

共 50 条

[21] A Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup
Lu HongWen
Zhou HaiGang
SCIENCE CHINA-MATHEMATICS, 2010, 53 (09) : 2405 - 2410
[22] A Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup
LU HongWen & ZHOU HaiGang Department of Mathematics
Science China(Mathematics), 2010, 53 (09) : 2405 - 2410
[23] A Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup
HongWen Lu
HaiGang Zhou
Science China Mathematics, 2010, 53 : 2405 - 2410
[24] ON THE ZEROS OF EISENSTEIN SERIES OF WEIGHT Q(K)-1 FOR GL(2)(F-Q[T])
CORNELISSEN, G
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 321 (07): : 817 - 820
[25] EISENSTEIN SERIES OF WEIGHT 3/2
PEI, DY
KEXUE TONGBAO, 1983, 28 (02): : 282 - 282
[26] On the derivative of an Eisenstein series of weight one
Kudla, SS
Rapoport, M
Yang, TH
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1999, 1999 (07) : 347 - 385
[27] EISENSTEIN SERIES OF WEIGHT 3/2
裴定一
A Monthly Journal of Science, 1983, (02) : 282 - 282
[28] On Wronskians of weight one Eisenstein series
Borisov, Lev A.
JOURNAL OF NUMBER THEORY, 2006, 121 (01) : 132 - 152
[29] A separation property of the zeros of Eisenstein series for SL(2, Z)
Nozaki, Hiroshi
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 : 26 - 36
[30] On the distribution of the zeros of Eisenstein series for Γ0*(5) and Γ0*(7)
Kuga, Seiji
RAMANUJAN JOURNAL, 2022, 58 (04): : 995 - 1010

← 1 2 3 4 5 →