Jacob's ladders, our asymptotic formulae (1981) connected with the equation $Z'(t)=0$ as a base for new $ζ$-equivalents of the Fermat-Wiles theorem and some other results
Jan Moser
公開日: 2025/9/22
Abstract
In this paper we obtain new functionals and corresponding $\zeta$-equivalents of the Fermat-Wiles theorem. These are generated by our asymptotic formulae (1981) for the function $Z'(t)$ which we are now using to prove essential influence of the Lindel\" of hypothesis on the distribution of the roots of odd order of the equation $Z'(t)=0$.