Non trivial zeros of the Zeta function using the differential equations
Résumé
We investigate a relationship between differential equations and the Zeta function. We obtain a more flexible representation of the Riemann Zeta function in the critical strip. This allows us to prove that the Zeta function does not vanish at any point $s\in\mathbb{C}$ such that $\Re(s)\in (0,2^{-1})$.
Domaines
Mathématiques générales [math.GM]
Origine : Fichiers produits par l'(les) auteur(s)