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Interlacing of zeros of the Eisenstein series for Γ0+(2)
- Authors
- Choi, SoYoung; Im, Bo-Hae
- Issue Date
- Apr-2025
- Publisher
- Polska Akademia Nauk
- Keywords
- Eisenstein series; Hecke group; Fricke group
- Citation
- Acta Arithmetica, v.218, no.3, pp 231 - 249
- Pages
- 19
- Indexed
- SCIE
SCOPUS
- Journal Title
- Acta Arithmetica
- Volume
- 218
- Number
- 3
- Start Page
- 231
- End Page
- 249
- ISSN
- 0065-1036
1730-6264
- Abstract
- 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).
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