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Interlacing of zeros of the Eisenstein series for Γ0+(2)
- Choi, SoYoung;
- Im, Bo-Hae
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0초록
We prove that for a = 2, 4, if k >= 16 is an even integer, then the non-trivial zeros of Ek+ and Ek++a for Gamma 0+(2) interlace on the arc of the fundamental domain for the Fricke group Gamma 0+(2) of level 2, where Ek+(z) is the Eisenstein series for Gamma 0+(2).
키워드
Eisenstein series; Hecke group; Fricke group; HOLOMORPHIC MODULAR-FORMS; COMBINATIONS
- 제목
- Interlacing of zeros of the Eisenstein series for Γ0+(2)
- 저자
- Choi, SoYoung; Im, Bo-Hae
- 발행일
- 2025-04
- 유형
- Article
- 저널명
- Acta Arithmetica
- 권
- 218
- 호
- 3
- 페이지
- 231 ~ 249