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Interlacing of zeros of the Poincaré series for Γ0+(2)
- Authors
- Choi, SoYoung; Im, Bo-Hae
- Issue Date
- Jan-2025
- Publisher
- Kluwer Academic Publishers
- Keywords
- Fricke group; Interlacing of zeros; Modular form; Poincaré series
- Citation
- Ramanujan Journal, v.66, no.1, pp 1 - 22
- Pages
- 22
- Indexed
- SCIE
SCOPUS
- Journal Title
- Ramanujan Journal
- Volume
- 66
- Number
- 1
- Start Page
- 1
- End Page
- 22
- ISSN
- 1382-4090
1572-9303
- Abstract
- We consider the Poincaré series Gk∗(z;-m) of weight k for the Fricke group Γ0+(2) of level 2 for positive integers m and even integers k≥4, and investigate the interlacing properties of the zeros of Gk∗(z;-m) and Gk+8∗(z;-m), and those of Gk∗(z;-m-1). © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.
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