Non trivial zeros of the Zeta function using the differential equations
Résumé
Using the differential equations, we obtain a more flexible representation of the Zeta function in the critical strip. Thanks to the Riemann functional equation, this representation allows us to prove that the Zeta function does not vanish at any point $s$ of the critical strip such that $1-2\Re(s)\neq 0$.
Domaines
Mathématiques générales [math.GM]
Origine : Fichiers produits par l'(les) auteur(s)