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Location and double interlacing of zeros of certain combination of the Eisenstein series for Γ0+(2)
- Choi, SoYoung;
- Im, Bo-Hae
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1초록
We show that the zeros of aE2k+(z)−(Ek+(z))2 and bE2k+(z)+(Ek+(z))2 lie on the arc of the fundamental domain for the Fricke group Γ0+(2) of level 2, where Ek+(z) is the Eisenstein series for Γ0+(2), and we investigate the doubly interlacing property between non-elliptic zeros of aE2k+(z)−(Ek+(z))2 and bE2k+(z)+(Ek+(z))2. © 2024 Elsevier Inc.
키워드
Eisenstein series; Fricke group; Hecke group
- 제목
- Location and double interlacing of zeros of certain combination of the Eisenstein series for Γ0+(2)
- 저자
- Choi, SoYoung; Im, Bo-Hae
- 발행일
- 2024-09
- 유형
- Article
- 권
- 537
- 호
- 2