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arXiv · 2009.14652

Multidimensional small divisor functions

Andreas Mono
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Abstract

This is a short note generalizing the construction from arXiv:1906.07410, arXiv:2009.04955 to multi-indices. We recommend to consider both references first. We obtain polar harmonic Maa{\ss} forms of non-positive integral weight if the dimension is even and greater than $2$. We provide explicit examples in dimension $4$, $6$, $8$, and $10$.

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Andreas Mono. 2020-09-30. Multidimensional small divisor functions. https://doi.org/10.5281/zenodo.10839396

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