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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.05473 |
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Table of Contents:
- We give a lower bound for the maximum value of class group $L$-functions attached to $\mathbb{Q}(\sqrt{-D})$ at the central point and show that this value is on average at least $$\exp\Bigg(δ\sqrt{\frac{\log D \log \log \log D}{\log \log D}} \Bigg)$$ for any $δ< \frac{1}{4}$.