Voronin Universality in several complex variables
| Autor: | Andersson, Johan |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove the Voronin universality theorem for the multiple Hurwitz zeta-function with rational or transcendental parameters in $\mathbb{C}^n$ answering a question of Matsumoto. In particular this implies that the Euler-Zagier multiple zeta-function is universal in several complex variables and gives the first example of a Dirichlet series that is universal in more than one variable. Comment: v1: 100 pages; v2: 90 pages. For changes from v1, see p.3-p.4 of the paper |
| Databáze: | arXiv |
| Externí odkaz: |
|