Version 1
: Received: 16 February 2024 / Approved: 20 February 2024 / Online: 20 February 2024 (08:49:02 CET)
How to cite:
U Zaman, B. Exploring the Connection between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis through ln(sec(π.nlog(n))). Preprints2024, 2024021108. https://doi.org/10.20944/preprints202402.1108.v1
U Zaman, B. Exploring the Connection between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis through ln(sec(π.nlog(n))). Preprints 2024, 2024021108. https://doi.org/10.20944/preprints202402.1108.v1
U Zaman, B. Exploring the Connection between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis through ln(sec(π.nlog(n))). Preprints2024, 2024021108. https://doi.org/10.20944/preprints202402.1108.v1
APA Style
U Zaman, B. (2024). Exploring the Connection between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis through ln(sec(π.nlog(n))). Preprints. https://doi.org/10.20944/preprints202402.1108.v1
Chicago/Turabian Style
U Zaman, B. 2024 "Exploring the Connection between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis through ln(sec(π.nlog(n)))" Preprints. https://doi.org/10.20944/preprints202402.1108.v1
Abstract
One of the most important unresolved mysteries in mathematics is the Riemann Hypothesis, which suggests a fundamental connection between the non-trivial zeros of the Riemann zeta function and the distribution of prime numbers. Here, we explore the fascinating union of trigonometric functions, prime numbers, and the Riemann zeta function through an examination of the zeros in the statement ln(sec(π·n log(n))). We demonstrate a strong mathematical connection between these components, providing information on the mysterious properties of prime numbers and their complex relationships to basic mathematical operations. Our thorough investigation adds to the current discussion of the Riemann Hypothesis by offering possible solutions and deepening our comprehension of the intricate relationship between number theory and analytic functions.
Keywords
prime numbers; Riemann Hypothesis; analytic functions; trigonometric functions
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
