Newton flow of the Riemann zeta function: separatrices control the appearance of zeros (open access)

Newton flow of the Riemann zeta function: separatrices control the appearance of zeros

This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
Date: October 14, 2014
Creator: Neuberger, J. W.; Feiler, C.; Llopis, A.; Maier, H. & Schleich, W. P.
Object Type: Article
System: The UNT Digital Library
Interpreting genomic data via entropic dissection (open access)

Interpreting genomic data via entropic dissection

Article on interpreting genomic data via entropic dissection.
Date: October 3, 2012
Creator: Azad, Rajeev K. & Li, Jing
Object Type: Article
System: The UNT Digital Library
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.
Object Type: Article
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
Object Type: Article
System: The UNT Digital Library
Complex Continued Fractions With Restricted Entries (open access)

Complex Continued Fractions With Restricted Entries

This article studies special infinite iterated function systems derived from complex continued fraction expansions with restricted entries.
Date: October 19, 1993
Creator: Hanus, Pawel & Urbański, Mariusz
Object Type: Article
System: The UNT Digital Library
Unconventional height functions in simultaneous Diophantine approximation (open access)

Unconventional height functions in simultaneous Diophantine approximation

This article discusses three examples of nonstandard height functions, computing their exponents of irrationality as well as giving more precise results.
Date: October 3, 2016
Creator: Fishman, Lior & Simmons, David
Object Type: Article
System: The UNT Digital Library
Testing rare variants for hypertension using family-based tests with different weighting schemes (open access)

Testing rare variants for hypertension using family-based tests with different weighting schemes

This paper proposes 4 weighting schemes for the family-based rare variants test (FBAT-v) to test for the effects of both rare and common variants across the genome.
Date: October 18, 2016
Creator: Wang, Xuexia; Zhao, Xingwang & Zhou, Jin
Object Type: Paper
System: The UNT Digital Library
A novel statistical method for rare-variant association studies in general pedigrees (open access)

A novel statistical method for rare-variant association studies in general pedigrees

In this paper, the authors discuss a novel statistical method for rare-variant association studies in general pedigrees for quantitative traits. This method uses a retrospective view that treats the traits as fixed and the genotypes as random, which accounts for complex and undefined ascertainment of families.
Date: October 18, 2016
Creator: Zhu, Huanhuan; Wang, Zhenchuan; Wang, Xuexia & Sha, Qiuying
Object Type: Paper
System: The UNT Digital Library