Local distribution of Gaussian primes

Quotients of Gaussian Primes

It has been observed many times, both in the Monthly and elsewhere, that the set of all quotients of prime numbers is dense in the positive real numbers. In this short note we answer the related question: “Is the set of all quotients of Gaussian primes dense in the complex plane?” Quotient sets {s/t : s, t ∈ S} corresponding to subsets S of the natural numbers have been intensely studied in the...

Anthropometric Analysis of Face using Local Gaussian Distribution Fitting Applicable for Facial Surgery

Human facial plays a very important role in the human’s appearance. Many defects in the face affect the facial appearance, significantly. Facial plastic surgeries can correct the defects on the face. Analysis of facial color images is very important due to its numerous applications in facial surgeries. Different types of facial surgeries, such as Rhinoplasty, Otoplasty, Belpharoplasty and chin ...

Local Negativity for Local Primes

Let m ∈ i. We wish to extend the results of [25] to completely pseudo-local graphs. We show that V is sub-measurable. We wish to extend the results of [25] to countably convex, multiply ultra-complete triangles. The groundbreaking work of A. Gupta on monodromies was a major advance.

Expected Number of Local Maxima of Some Gaussian Random Polnomials

Irregularities in the Distribution of Primes and Twin Primes

The maxima and minima of sL(x)) — n(x), iR(x)) — n(x), and sL2(x)) — n2(x) in various intervals up to x = 8 x 10 are tabulated. Here n(x) and n2(x) are respectively the number of primes and twin primes not exceeding x, L(x) is the logarithmic integral, R(x) is Riemann's approximation to ir(x), and L2(x) is the Hardy-Littlewood approximation to ti"2(;c). The computation of the sum of inverses of...