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
Existence and nonexistence of radial solutions for semilinear equations with bounded nonlinearities on exterior domains (open access)

Existence and nonexistence of radial solutions for semilinear equations with bounded nonlinearities on exterior domains

Article studies radial solutions of ∆u + K(r)f(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᶰ where f is odd with f < 0 on (0, β), f > 0 on (β, δ), f ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Date: December 1, 2020
Creator: Iaia, Joseph A.
System: The UNT Digital Library
IslandCafe: Compositional Anomaly and Feature Enrichment Assessment for Delineation of Genomic Islands (open access)

IslandCafe: Compositional Anomaly and Feature Enrichment Assessment for Delineation of Genomic Islands

Article discusses IslandCafe, a proposed method for genomic island detection.
Date: October 1, 2019
Creator: Jani, Mehul & Azad, Rajeev K.
System: The UNT Digital Library