2025/09/14 by GADIMOV, RUSLAN
Mathematics · #Analysis #FOS: Mathematics #Fredholm Determinant #Functional Analysis #Hilbert Spaces #Mathematical Physics #Mathematics #Mellin Transform #Number Theory #Physical Sciences and Mathematics #Physics #Riemann Hypothesis #Riemann Zeta Function #Spectral Theory #Trace-Class Operator
paper · doi:10.17605/osf.io/b9ud5
Description: This project presents a complete proof of the Riemann Hypothesis (RH). We construct a compact, self-adjoint trace-class operator on L2, whose Fredholm determinant coincides with the completed zeta function ξ(s). By establishing spectral purity and multiplicity matching, we conclude that all nontrivial zeros of ζ(s) lie on the critical line \Re(s)=\tfrac12.