Home
World Journal of Advanced Research and Reviews
International Journal with High Impact Factor for fast publication of Research and Review articles

Main navigation

  • Home
    • Journal Information
    • Editorial Board Members
    • Reviewer Panel
    • Abstracting and Indexing
    • Journal Policies
    • Our CrossMark Policy
    • Publication Ethics
    • Issue in Progress
    • Current Issue
    • Past Issues
    • Instructions for Authors
    • Article processing fee
    • Track Manuscript Status
    • Get Publication Certificate
    • Join Editorial Board
    • Join Reviewer Panel
  • Contact us
  • Downloads

eISSN: 2581-9615 || CODEN: WJARAI || Impact Factor 8.2 ||  CrossRef DOI

Research and review articles are invited for publication in March 2026 (Volume 29, Issue 3) Submit manuscript

The Riemann hypothesis and its implications

Breadcrumb

  • Home
  • The Riemann hypothesis and its implications

Shivakumar M D *

Lecturer in science Government polytechnic, chamarajanagar-571313, Karnataka, India.
 
Review Article
World Journal of Advanced Research and Reviews, 2021, 10(03), 493-498
Article DOI: 10.30574/wjarr.2021.10.3.0287
DOI url: https://doi.org/10.30574/wjarr.2021.10.3.0287
 
Received on 01  June 2021; Revised 08 June 2021; accepted on 14 June 2021
 
The Riemann Hypothesis, one of the most significant unsolved problems in mathematics, posits that all non-trivial zeros of the Riemann zeta function have a real part equal to 1/2. This paper examines the formulation of the hypothesis, its historical context, attempts at proof, and its profound implications across various mathematical domains. We explore connections to prime number distribution, quantum mechanics, and cryptography, highlighting why the hypothesis remains central to modern mathematics. While a proof remains elusive, understanding the hypothesis and its consequences provides crucial insights into the structure of numbers and the interconnected nature of mathematical fields.
 
Riemann zeta function; Prime number distribution; Analytic number theory; Critical line; Non-trivial zeros
 
https://wjarr.com/sites/default/files/fulltext_pdf/WJARR-2021-0287.pdf

Preview Article PDF

Shivakumar M D. The Riemann hypothesis and its implications. World Journal of Advanced Research and Reviews, 2021, 10(3), 493-498. Article DOI: https://doi.org/10.30574/wjarr.2021.10.3.0287

Copyright © Author(s). All rights reserved. This article is published under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, as long as appropriate credit is given to the original author(s) and source, a link to the license is provided, and any changes made are indicated.

All statements, opinions, and data contained in this publication are solely those of the individual author(s) and contributor(s). The journal, editors, reviewers, and publisher disclaim any responsibility or liability for the content, including accuracy, completeness, or any consequences arising from its use.

Get Certificates

Get Publication Certificate

Download LoA

Check Corssref DOI details

Issue details

Issue Cover Page

Editorial Board

Table of content

Copyright © 2026 World Journal of Advanced Research and Reviews - All rights reserved

Developed & Designed by VS Infosolution