In this article, the author presents an elementary proof of a result due to Dickson characterizing those integers n admitting non-abelian groups of order n.

This article examines how in view of the fundamental theorem of algebra and basic Galois theory solving nonlinear systems of polynomial equations exactly means in general reducing them to one single equation in one variable.

The '5 lei coin' problem of Titeica is generalized to circles of arbitrary radii.

Article discussing studies of the relationship between the Stieltjes sums and the elementary symmetric sums.

Article on interpreting genomic data via entropic dissection.

Article on a class of Stieltjes-Van Vleck polynomials.

This article discusses a family of iterated integrals and generalizing an iterated integral identity proposed at a Putnam competition in 1941.

This article identifies a class of magnetic Schrödinger operators on Kähler manifolds which exhibit pure point spectrum.

Article on detecting evolutionary strata on the human X chromosome in the absence of gametologous Y-linked sequences.

This article studies the spreading of a charged microdroplet using the lubrication approximation.

In this article, the author investigates the real 2 x 2 matrices which admit real square roots.

In this article, the author presents a generalization of a certain Putnam problem.

This article proves that the dynamical system (f,μφ) enjoys exponential decay of correlations of Hölder continuous observables as well as the Central Limit Theorem and the Law of Iterated Logarithm for the class of these variables that, in addition, satisfy a natural co-boundary condition. This article also shows that the topological pressure function t ↦ P(tφ) is real-analytic throughout the open set of all parameters t for which the potentials tφ have pressure gaps.

Article on the generalization of entropy based divergence measures for symbolic sequence analysis.

In this article, the author investigates a computational proof of the Cayley-Hamilton theroem, based on induction.

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.

This article considers the analysis of the Betelu-Fontelos model of the spreading of a charged microdroplet on a at dielectric surface whose spreading is driven by surface tension and electrostatic repulsion.

This article establishes Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. This includes an inductive proof that exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms to torsion points.

This article contains RNA sequencing analysis of Arabidopsis thaliana plants subjected to light stress in order to identify and characterize rapid changes in the steady-state level of different transcripts in response to light stress.

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.

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.

This article shows that small hairpin RNA-mediated suppresion of NAF-1 results in the activation of apoptosis in epithelial breast cancer cells and xenograft tumors.

In this article, the author proves the existence of an infinite number of radial solutions of Δu+f(u)=0 on the exterior of the ball of radius R>0 centered at the origin and f is odd with f<0 on (0,β), f>0 on (β,δ), and f≡0 for u>δ. The primitive F(u)=∫u0f(t)dt has a "hilltop" at u=δ which allows one to use the shooting method and ODE techniques to prove the existence of solutions.

This article establishes uses a Gauss-like relationship to examine how the curvature bundle morphisms relate.