Functions and Analysis

2109 Submissions

[3] viXra:2109.0216 [pdf] submitted on 2021-09-30 23:22:05

Double Serial Operators Theory

Authors: Juan Elias Millas Vera
Comments: 27 Pages.

This paper is an advance of my work in serial operators. Here you can see 216 theoretical combinations of two serial operators with a 2-variable operation. The theory covers addition, subtraction, product, division, power and root. Moreover I am going to present 48 numerical examples.
Category: Functions and Analysis

[2] viXra:2109.0114 [pdf] submitted on 2021-09-11 20:54:41

Riemann's Functional Equation When Zeta(s) = 0 = Zeta(1-s)

Authors: Michael C. Dickerson
Comments: 1 Page. Contacting author at michaeldickerson89@gmail.com [Corrections made by viXra Admin to conform with the requirements on the Submission Form]

Riemann's Functional equation zeta(s) has values where zeta(s) = 0 at negative even integers of s (-2,-4,-6...) when the function sin(pi*s/2) equals 0. This paper demonstrates that the only other case where zeta(s) = 0 in Riemann's functional equation is when zeta(s) = zeta(1-s) which is only true when the real part of s = 1/2.
Category: Functions and Analysis

[1] viXra:2109.0029 [pdf] submitted on 2021-09-05 21:33:05

Review of the Serial Operators Theory

Authors: Juan Elias Millas Vera
Comments: 13 Pages. If you find an error please send me an e-mail.

In this paper, I want to explain with definitions and examples the 36 possible combinations of conjunction of a serial operator and operation inside it. I am going to remember to the reader the basic theory of the 6 basic serial operators (Summation or Sigma notation, Restory or Rho notation, Productory or Pi notation, Divisory or Delta notation, Exponentory or Theta notation and Divisory or Zeta notation), then I will do the 6 x 6 categories.
Category: Functions and Analysis