Functions and Analysis

2103 Submissions

[5] viXra:2103.0155 [pdf] submitted on 2021-03-24 06:03:21

Two Exercices of Integration

Authors: Antoine Balan
Comments: 2 pages, written in french

We present two exercices of integration. The aim is to characterize the integral by the integration by parts.
Category: Functions and Analysis

[4] viXra:2103.0096 [pdf] submitted on 2021-03-14 21:06:02

A Proof of the Riemann Hypothesis Using the Two-Sided Laplace Transform

Authors: Seong Won Cha
Comments: 16 Pages.

A proof of the Riemann hypothesis using the two-sided Laplace transform
Category: Functions and Analysis

[3] viXra:2103.0092 [pdf] submitted on 2021-03-15 20:41:36

An Idea of Fermat for the Stop and Division by Zero Calculus

Authors: Saburou Saitoh
Comments: 5 Pages.

In this note we will consider an idea of Fermat for the stop in connection with the division by zero calculus. Here, in particular, we will see some mysterious logic on the stop in connection with the concepts of differential and differential coefficient.
Category: Functions and Analysis

[2] viXra:2103.0039 [pdf] submitted on 2021-03-07 16:16:21

History of the Division by Zero Calculus

Authors: Saburou Saitoh
Comments: 54 Pages. The concept of division by zero will create the concept of division by zero calculus and this concept will give great impacts to elementary mathematics.

Today is the 7th birthday of the division by zero calculus as stated in details in the Announcement 456(2018.10.15) of the Institute of Reproducing Kernels and the book was published recently. We recall simply a history of the division by zero calculus. Division by zero has a long and mysterious history since the origins of mathematics by Euclid and Brahmagupta. We will see that they are very important in mathematics, however they had the serious problems; that is, on the point at infinity and the division by zero, respectively.
Category: Functions and Analysis

[1] viXra:2103.0031 [pdf] submitted on 2021-03-05 20:30:31

Introduction to Mathematical Series

Authors: Juan Elias Millas Vera
Comments: 4 Pages.

Euler, Leibniz or Ramanujan are some names who have developed mathematical series. In this paper I want to introduce some series of these famous mathematicians and contribute some of my own open series.
Category: Functions and Analysis