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March 2019 A note on the non-vanishing of Poincaré series for the Fricke group $\Gamma_{0}^{+}(p)$
SoYoung Choi, Bo-Hae Im
Proc. Japan Acad. Ser. A Math. Sci. 95(3): 24-29 (March 2019). DOI: 10.3792/pjaa.95.24

Abstract

For each prime $p$, we give an upper bound in $m$ for Poincaré series $P_{k}^{+}(z,m)$ of weight $k$ for $\Gamma_{0}^{+}(p)$ to be non-vanishing.

Citation

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SoYoung Choi. Bo-Hae Im. "A note on the non-vanishing of Poincaré series for the Fricke group $\Gamma_{0}^{+}(p)$." Proc. Japan Acad. Ser. A Math. Sci. 95 (3) 24 - 29, March 2019. https://doi.org/10.3792/pjaa.95.24

Information

Published: March 2019
First available in Project Euclid: 28 February 2019

zbMATH: 07121250
MathSciNet: MR3917913
Digital Object Identifier: 10.3792/pjaa.95.24

Subjects:
Primary: 11F03 , 11F11

Keywords: weakly holomorphic modular form

Rights: Copyright © 2019 The Japan Academy

Vol.95 • No. 3 • March 2019
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