Extension of the functional independence of the Riemann zeta-function
In 1972, Voronin proved the functional independence of the Riemann zeta-function ζ(s), i. e., if the functions φj are continuous in ℂN and φ0(ζ(s), …, ζ(N-1)(s))+ ∙∙∙ + sn φn(ζ(s), …, ζ(N-1)(s)) ≡ 0, then φj≡ 0 for j=0,…, n. The problem goes back to Hilbert who obtained the algebraic-differential in...
| Permalink: | http://skupnikatalog.nsk.hr/Record/nsk.NSK01001098346 |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 55 (2020), 1 ; str. 55-65 |
| Glavni autor: | Laurinčikas, Antanas (Author) |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.55.1.05 Hrčak |