تقرير
Chromatic congruences and Bernoulli numbers
| العنوان: | Chromatic congruences and Bernoulli numbers |
|---|---|
| المؤلفون: | Patchkoria, Irakli |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Topology, Mathematics - Group Theory, Mathematics - K-Theory and Homology, Mathematics - Number Theory, 55R40, 57K20, 11B68, 11M06 |
| الوصف: | For every natural number $n$ and a fixed prime $p$, we prove a new congruence for the orbifold Euler characteristic of a group. The $p$-adic limit of these congruences as $n$ tends to infinity recovers the Brown-Quillen congruence. We apply these results to mapping class groups and using the Harer-Zagier formula we obtain a family of congruences for Bernoulli numbers. We show that these congruences in particular recover classical congruences for Bernoulli numbers due to Kummer, Voronoi, Carlitz, and Cohen. Comment: 22 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.17705 |
| رقم الأكسشن: | edsarx.2406.17705 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |