Showing posts with label natural numbers. Show all posts
Showing posts with label natural numbers. Show all posts

Friday, 28 March 2025

Deciphering Prime Number Distribution: Insights from Natural Numbers | Chapter 8 | Mathematics and Computer Science: Contemporary Developments Vol. 8

In this paper I present the distribution of prime numbers which was treated in many researches by studying the function of Riemann; because it has a remarkable property; its non trivial zeros are prime numbers; but in this work I will show that we can find the distribution of prime numbers on remaining in natural numbers only.

 

Author (s) Details

 

Ouannas Moussa
Engineer in Forestry, University of Batna, Algeria.

 

Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v8/678

Tuesday, 11 March 2025

On the Emergence of Twin Primes | Chapter 1 | Mathematics and Computer Science: Contemporary Developments Vol. 9

One of the most famous problems in mathematics is the Twin Prime Conjecture. This study gives an idea of how and when twin prime numbers emerge while remaining within the set of natural numbers.

 

Author (s) Details

 

Ouannas Moussa
Institute of Agricultural, Algeria.

 

Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v9/663

Monday, 24 May 2021

Fractional Order Riemann Zeta Factorial Function: A Recent Study | Chapter 3 | Theory and Practice of Mathematics and Computer Science Vol. 10

 The goal of this paper is to apply zeta factorial function theory to the Riemann zeta lfactorial function of fractional order. Using the inverse principle of the generalised difference operator, several equations on the fractional order Riemann zeta factorial function can be produced. Using appropriate instances, the findings are mathematically validated.


Author(s) Details

G. Britto Antony Xavier
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.

T. Sathinathan
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.

D. Arun
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore - 635601, Tamil Nadu, India.

View Book :- https://stm.bookpi.org/TPMCS-V10/article/view/1073