Zeros of the combination of the Eisenstein series for Γ0+(2)

被引：0

作者：

Choi, Soyoung ^{[1
]}

Im, Bo-Hae ^{[2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ & RINS, 501 Jinjudae Ro, Jinju 52828, South Korea

[2] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea

来源：

RAMANUJAN JOURNAL | 2024年 / 64卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Eisenstein series; Hecke group; Fricke group;

D O I：

10.1007/s11139-024-00836-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For even integers k >= & ell; >= 4, we consider the modular forms Ek+E & ell;++E-k+& ell;(+) for the Fricke group Gamma(+)(0)(2), where E-k(+) is the Eisenstein series of weight k for Gamma(+)(0)(2), and we prove that if 26630 <= & ell; < k <= 77 & ell; or k = & ell; >= 10, then all of their zeros in the fundamental domain (sic)(+) for Gamma(+)(0)(2) lie on the arc boundary of (sic)(+)

引用

页码：475 / 488

页数：14

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