Beweis der Riemannschen Vermutung \"uber ein reguliertes normiertes Integralmodell

TL;DR

This paper presents a novel analytic integral model over the critical strip of the Riemann zeta function, establishing the Riemann Hypothesis by linking zero distribution to integral convergence.

Contribution

It introduces a regulated surface integral approach that analytically isolates divergence contributions, providing a new criterion equivalent to the Riemann Hypothesis.

Findings

Proves the Riemann Hypothesis using integral convergence.

Constructs a singularity-sensitive integrand for zero analysis.

Provides an integral model independent of zero locations.

Abstract

We prove the Riemann Hypothesis via an analytically regulated surface integral over the critical strip of the Riemann zeta function. The key idea is that the convergence of this normalized integral is equivalent to the condition that all non-trivial zeros lie on the critical line. By constructing a singularity-sensitive integrand and removing infinitesimal disks around the poles, we isolate all divergence contributions analytically. The resulting integral model is independent of specific zero locations and provides a purely analytic criterion equivalent to the Riemann Hypothesis.