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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.08253 |
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Table of Contents:
- We introduce a new collection of special functions associated to a complex curve of genus 2 similar to Kleinian hyperelliptic $σ$-function. These functions are related to weight 2 $θ$-functions in the same fashion as $σ$-function is related to the classical $θ$-function. A key feature of the introduced functions is the fact that they are well-defined for genus 2 algebraic curves without any restrictions (in particular it is not needed to assume that the curve has a Weierstrass point at infinity).