Interlacing of zeros of the Poincaré series for Γ0+(2)
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초록

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.

키워드

Fricke groupInterlacing of zerosModular formPoincaré series
제목
Interlacing of zeros of the Poincaré series for Γ0+(2)
저자
Choi, SoYoungIm, Bo-Hae
DOI
10.1007/s11139-024-00984-6
발행일
2025-01
유형
Article
저널명
Ramanujan Journal
66
1
페이지
1 ~ 22