[7] **viXra:1811.0434 [pdf]**
*submitted on 2018-11-26 06:21:05*

**Authors:** Edgar Valdebenito

**Comments:** 1 Page.

This note presents a elementary integral formula.

**Category:** General Mathematics

[6] **viXra:1811.0433 [pdf]**
*submitted on 2018-11-26 06:23:53*

**Authors:** Edgar Valdebenito

**Comments:** 1 Page.

This note presents a elementary infinite product.

**Category:** General Mathematics

[5] **viXra:1811.0409 [pdf]**
*replaced on 2018-11-28 00:48:19*

**Authors:** Toshiro Takami

**Comments:** 15 Pages.

At first, each prime number was related to each non-trivial zero point, we thought from equation (2).
However, when calculated, it turned out that each prime number is not related to the nontrivial zeros, and is related to trivial zeros.

**Category:** General Mathematics

[4] **viXra:1811.0325 [pdf]**
*submitted on 2018-11-20 06:35:58*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

In this note we give some integrals.

**Category:** General Mathematics

[3] **viXra:1811.0215 [pdf]**
*submitted on 2018-11-13 06:36:17*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

In this note we give some integrals.

**Category:** General Mathematics

[2] **viXra:1811.0174 [pdf]**
*submitted on 2018-11-12 05:03:56*

**Authors:** Armando M. Evangelista Jr.

**Comments:** 6 Pages.

This paper deals only with the Mellin transforms of some functions and their relationship with the gamma functions.

**Category:** General Mathematics

[1] **viXra:1811.0044 [pdf]**
*replaced on 2019-01-12 12:43:10*

**Authors:** Felix M. Lev

**Comments:** 9 Pages. Statement 2 in Sec. 3 has been considerably elaborated

Classical mathematics (involving such notions as infinitely small/large and continuity) is usually treated as fundamental while finite mathematics is treated as inferior which is used only in special applications. In our previous publications we argue that the situation is the opposite: classical mathematics is only a special degenerate case of finite one in the formal limit when the characteristic of the ring or field in finite mathematics goes to infinity.
In the present paper we give a simple and rigorous proof of this fundamental fact. In general, introducing infinity automatically implies transition to a degenerate theory because in that case all operations modulo a number are lost. So, {\it even from the pure mathematical point of view}, the very notion of infinity cannot be fundamental, and theories involving infinities can be only approximations to more general theories. We also prove that standard quantum theory based on classical mathematics is a special degenerate case of
quantum theory based on finite mathematics. Motivation and implications are discussed.

**Category:** General Mathematics