A note on the non-vanishing of Poincare series for the Fricke group Gamma(+)(0)(p)

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초록

For each prime p, we give an upper bound in m for Poincare series P-k(+)(z, m) of weight k for Gamma(+)(0)(p) to be non-vanishing.

키워드

Weakly holomorphic modular form
제목
A note on the non-vanishing of Poincare series for the Fricke group Gamma(+)(0)(p)
저자
Choi, SoYoung; Im, Bo-Hae
DOI
10.3792/pjaa.95.24
발행일
2019-03
유형
Article
저널명
Proceedings of the Japan Academy Series A: Mathematical Sciences
권
95
호
3
페이지
24 ~ 29