Interlacing of zeros of the Poincare series for Γ0+(2)

被引：0
|
作者：
Choi, Soyoung [1 ,2 ]
Im, Bo-Hae [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, 501 Jinjudae ro, Jinju 52828, South Korea
[2] Gyeongsang Natl Univ, RINS, 501 Jinjudae ro, Jinju 52828, South Korea
[3] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Taejon 34141, South Korea
来源：
RAMANUJAN JOURNAL | 2025年 / 66卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Poincare series; Modular form; Fricke group; Interlacing of zeros; HOLOMORPHIC MODULAR-FORMS; EISENSTEIN SERIES;
D O I：
10.1007/s11139-024-00984-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Poincar & eacute; series Gk* of weight k for the Fricke group Gamma(+)(0)(2) of level 2 for positive integers m and even integers k >= 4, and investigate the interlacing properties of the zeros of Gk* and Gk+8*, and those of Gk*.
引用
收藏
页码：38 / 38
页数：1
相关论文
共 50 条
  • [1] On the interlacing of the zeros of Poincare series
    Saha, Ekata
    Saradha, N.
    RAMANUJAN JOURNAL, 2020, 53 (02): : 439 - 465
  • [2] Zeros of the combination of the Eisenstein series for Γ0+(2)
    Choi, Soyoung
    Im, Bo-Hae
    RAMANUJAN JOURNAL, 2024, 64 (02): : 475 - 488
  • [3] ON THE ZEROS OF CERTAIN POINCARE SERIES FOR Γ0*(2) AND Γ0*(3)
    Shigezumi, Junichi
    OSAKA JOURNAL OF MATHEMATICS, 2010, 47 (02) : 487 - 505
  • [4] The number of zeros of certain combinations of the Eisenstein series for Γ0+(2)
    Choi, SoYoung
    Im, Bo-Hae
    JOURNAL OF NUMBER THEORY, 2021, 223 : 101 - 131
  • [5] Location and double interlacing of zeros of certain combination of the Eisenstein series for Γ+0 (2)
    Choi, Soyoung
    Im, Bo-Hae
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
  • [6] On the interlacing of the zeros of certain Poincare cusp forms
    Dhillon, Sonika
    Kala, Divyanshu
    Saha, Ekata
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 528 (02)
  • [7] INTERLACING OF ZEROS OF EISENSTEIN SERIES
    Griffin, Trevor
    Kenshur, Nathan
    Price, Abigail
    Vandenberg-Daves, Bradshaw
    Xue, Hui
    Zhu, Daozhou
    KYUSHU JOURNAL OF MATHEMATICS, 2021, 75 (02) : 249 - 272
  • [8] On the interlacing of the zeros of Poincaré series
    Ekata Saha
    N. Saradha
    The Ramanujan Journal, 2020, 53 : 439 - 465
  • [9] On the zeros of period functions associated to the Eisenstein series for Γ0+ (N)
    Choi, SoYoung
    Im, Bo-Hae
    JOURNAL OF NUMBER THEORY, 2022, 234 : 200 - 239
  • [10] A note on the non-vanishing of Poincare series for the Fricke group Γ0+(p)
    Choi, SoYoung
    Im, Bo-Hae
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2019, 95 (03) : 24 - 29
12345