THE RIEMANN HYPOTHESIS AND THE EULER'S QUADRATIC EQUATION

Autor: Enoch, Opeyemi, Oluwole, Enoch
Přispěvatelé: Enoch, Opeyemi
Jazyk: angličtina
Rok vydání: 2018
Předmět:
[MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA]
[PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]
[MATH] Mathematics [math]
and phrases: Riemann zeta function
[INFO] Computer Science [cs]
[PHYS] Physics [physics]
[STAT] Statistics [stat]
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
non-trivial zeros
[INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA]
and zeros of the analytic continuation formula
[MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV]
meromorphic function
Euler's equation
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]
[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]
[INFO.INFO-CR] Computer Science [cs]/Cryptography and Security [cs.CR]
[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Popis: We present a general formula for obtaining the zeros of the analytic continuation formula of the Riemann zeta function from Euler's quadratic equation and show that these zeros are all real. Furthermore, substituting this formula into the analytic continuation formula, the root of the Analytic Continuation Formula (ACF) of the Riemann zeta function is determined.
Databáze: OpenAIRE