General Mathematics

1903 Submissions

[4] viXra:1903.0280 [pdf] submitted on 2019-03-14 12:05:33

Investigation of the Characteristics of the Zeros of the Riemann Zeta Function in the Critical Strip Using Implicit Function Properties of the Real and Imaginary Components of the Dirichlet Eta Function V2

Authors: Andrew Alexander Logan
Comments: 9 Pages, 3 Figures Small addition on convergence of harmonic addition result for infinite series.

This paper investigates the characteristics of the zeros of the Riemann zeta function (of s) in the critical strip by using the Dirichlet eta function, which has the same zeros. The characteristics of the implicit functions for the real and imaginary components when those components are equal are investigated and it is shown that the function describing the value of the real component when the real and imaginary components are equal has a derivative that does not change sign along any of its individual curves - meaning that each value of the imaginary part of s produces at most one zero. Combined with the fact that the zeros of the Riemann xi function are also the zeros of the zeta function and xi(s) = xi(1-s), this leads to the conclusion that the Riemann Hypothesis is true.
Category: General Mathematics

[3] viXra:1903.0184 [pdf] submitted on 2019-03-10 20:57:02

Who Did Derive First the Division by Zero $1/0$ and the Division by Zero Calculus $\tan(\pi/2)=0, \log 0=0$ as the Outputs of a Computer?

Authors: Saburou Saitoh
Comments: 9 Pages. The results of José Manuel Rodríguez Caballero will be important historically on the division by zero calculus and so, we would like to know the exact information.

In this short paper, we will introduce an essence of the division by zero calculus and the situation from the viewpoint of computers that will contain a surprising news on the division by zero calculus.
Category: General Mathematics

[2] viXra:1903.0087 [pdf] submitted on 2019-03-05 15:06:40

Euler-Mascheroni Irrationality Proof

Authors: F.L.B. Périat
Comments: 2 Pages.

A new lemma that permits it's proof
Category: General Mathematics

[1] viXra:1903.0067 [pdf] submitted on 2019-03-04 12:49:54

The Third International Scientific Conference of the Faculty of Nursing Port Said University 2017 Neutrosophic Information Systems and Nursing Scientific Research.

Authors: A.A. Salama, Florentin Smarandache
Comments: 5 Pages.

Abstracts for The Third International Scientific Conference of the Faculty of Nursing Port Said University 2017, Neutrosophic Information Systems and Nursing Scientific Research.
Category: General Mathematics