Degree Department

The Riemann hypothesis illuminated by the Newton flow of ζ (open access)

The Riemann hypothesis illuminated by the Newton flow of ζ

This article analyzes the Newton flow of the Riemann zeta function and rederives in an elementary way the Riemann-von Mangoldt estimate of the number of non-trivial zeros below a given imaginary part.
Date: October 1, 2015
Creator: Neuberger, J. W.; Feiler, C.; Maier, H. & Schleich, W. P.
System: The UNT Digital Library
Determinant Identities and the Geometry of Lines and Circles (open access)

Determinant Identities and the Geometry of Lines and Circles

This article focuses on the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Date: October 20, 2015
Creator: Anghel, Nicolae
System: The UNT Digital Library