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arXiv · 1401.7126

A relation of cusp forms and Maass forms on product of hyperbolic Riemann orbisurfaces of finite volume

Anilatmaja Aryasomayajula
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Abstract

In 2006, in a paper published in Compositio, titled "Bounds on canonical Green's functions", J. Jorgenson and J. Kramer proved a certain key identity which relates the two natural metrics, namely the hyperbolic metric and the canonical metric defined on a compact hyperbolic Riemann surface. In this article, we extend this identity to product of noncompact hyperbolic Riemann orbisurfaces of finite volume, which can be realized as a quotient space of the action of a Fuchsian subgroup of first kind on the hyperbolic upper half plane.

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Anilatmaja Aryasomayajula. 2014-01-28. A relation of cusp forms and Maass forms on product of hyperbolic Riemann orbisurfaces of finite volume. https://arxiv.org/abs/1401.7126

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