Exploring the Connection Between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis Through ln(sec(π.nlog(n)))

EasyChair Preprint 12333

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.

Keyphrases: Prime number, Riemann hypothesis, imtgers

@booklet{EasyChair:12333,
  author    = {Budee U Zaman},
  title     = {Exploring the Connection Between Prime Numbers, Trigonometric Functions, and the Riemann Hypothesis Through ln(sec(π.nlog(n)))},
  howpublished = {EasyChair Preprint 12333},
  year      = {EasyChair, 2024}}