Statistical Study of Euler’s Zeta Function by using Riemann Hypothesis-Reference-Cited by-同舟云学术

Statistical Study of Euler’s Zeta Function by using Riemann Hypothesis

Published:2024-03-11 Issue: Volume: Page:530-534
ISSN:2581-9429
Container-title:International Journal of Advanced Research in Science, Communication and Technology
language:en
Short-container-title:IJARSCT

Author:

Vijay P Sangale ¹,Govardhan K Sanap ²

Affiliation:

1. R. B. Attal College, Georai, Beed, Maharashtra, India

2. S. S. Mahavidyalaya, Majalgaon, Beed, Maharashtra, India

Abstract

The aim of this paper to study the statistical measures for the zeta function and the relative comparison of the function. Here we give an examples of some of the suggested models and compare these models. The development of these models were done in a collection of machine learning algorithms for data mining tasks. As a measure of success of any model, we study the statistical measures CC, MAE, RMSE, RAE and RRSE. We would like to mention that there is no specific rational behind the choice of the statistical measures studied; except that they give good point-wise and overall statistics on the validity and success of the models. The statistical measures Root Mean Square Error and Mean Absolute Error are concerned with the average difference errors.

Publisher

Naksh Solutions

Reference11 articles.

1. [1] Edwards H. M. Riemann’s Zeta Function. Academic Press. ISBN 0-486-41740-9.

2. [2] V P Sangale, G K Sanap, A study of properties of Euler’s Zeta function by using Riemann Hypothesis, IJARSET, Vol. 10, Issue 5, May 2023

3. [3]. Hutchinson, J. I. On the Roots of the Riemann Zeta Function. Trans-actions of the American Mathematical Society. Vol. 27. No. 1. Jan.1925, 49-60.

4. [4]. Wang F. T. ,A Formula on Riemann Zeta Function. The Annals of Mathematics, 2nd Series. Vol. 46. No. 1. Jan. 1945, 88-92.

5. [5].Apostol, T. M. Some Series Involving the Riemann Zeta Function. Proceedings of the American Mathematical Society. Vol. 5. No. 2. Apr.1954, 239-243.