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arXiv · 2305.13196

Weight $1/2$ multiplier systems for the group $\Gamma_0^+(p)$ and a geometric formulation

Michael H. Mertens·Mark A. Norfleet
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Abstract

We construct a weight $1/2$ multiplier system for the group $\Gamma_0^+(p)$, the normalizer of the congruence subgroup $\Gamma_0(p)$ where $p$ is an odd prime, and we define an analogue of the eta function and Rademacher symbol and relate it to the geometry of edge paths in a triangulation of the upper half plane.

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Michael H. Mertens, Mark A. Norfleet. 2023-05-22. Weight $1/2$ multiplier systems for the group $\Gamma_0^+(p)$ and a geometric formulation. https://arxiv.org/abs/2305.13196

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