Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2011
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1201.0020 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916215295836160 |
|---|---|
| author | Streng, Marco |
| author_facet | Streng, Marco |
| contents | We give an explicit version of Shimura's reciprocity law for singular values of Siegel modular functions. We use this to construct the first examples of class invariants of quartic CM fields that are smaller than Igusa invariants. Our statement also enables a new proof of Shimura's reciprocity law by Tonghai Yang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1201_0020 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | An explicit version of Shimura's reciprocity law for Siegel modular functions Streng, Marco Number Theory 11G15, 14K22, 11F46 We give an explicit version of Shimura's reciprocity law for singular values of Siegel modular functions. We use this to construct the first examples of class invariants of quartic CM fields that are smaller than Igusa invariants. Our statement also enables a new proof of Shimura's reciprocity law by Tonghai Yang. |
| title | An explicit version of Shimura's reciprocity law for Siegel modular functions |
| topic | Number Theory 11G15, 14K22, 11F46 |
| url | https://arxiv.org/abs/1201.0020 |