On the Torsion Congruence for Zeta Functions of Totally Real Fields
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929231024357376 |
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| author | Jin, Yubo |
| author_facet | Jin, Yubo |
| contents | In this note, we study the special values for zeta functions of totally real fields using the Shintani's cone decomposition. We prove certain congruence between the special values for zeta functions under the prime degree field extension. This congruence implies the `torsion congruence' proved by Ritter-Weiss which is crucial in the proof of the noncommutative Iwasawa main conjecture for totally real fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04385 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Torsion Congruence for Zeta Functions of Totally Real Fields Jin, Yubo Number Theory 11R42, 11R23 In this note, we study the special values for zeta functions of totally real fields using the Shintani's cone decomposition. We prove certain congruence between the special values for zeta functions under the prime degree field extension. This congruence implies the `torsion congruence' proved by Ritter-Weiss which is crucial in the proof of the noncommutative Iwasawa main conjecture for totally real fields. |
| title | On the Torsion Congruence for Zeta Functions of Totally Real Fields |
| topic | Number Theory 11R42, 11R23 |
| url | https://arxiv.org/abs/2310.04385 |