تقرير
Families of eulerian functions involved in regularization of divergent polyzetas
| العنوان: | Families of eulerian functions involved in regularization of divergent polyzetas |
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| المؤلفون: | Bui, V. C., Minh, V. Hoang Ngoc, Dinh, V. Nguyen, Ngo, Q. H. |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | Extending the Eulerian functions, we study their relationship with zeta function of several variables. In particular, starting with Weierstrass factorization theorem (and Newton-Girard identity) for the complex Gamma function, we are interested in the ratios of $\zeta(2k)/\pi^{2k}$ and their multiindexed generalization, we will obtain an analogue situation and draw some consequences about a structure of the algebra of polyzetas values, by means of some combinatorics of noncommutative rational series. The same combinatorial frameworks also allow to study the independence of a family of eulerian functions. Comment: preprint |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2009.03931 |
| رقم الأكسشن: | edsarx.2009.03931 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |