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Martinez, J. (2022) On the Absence of Zeros of Riemann Zeta-Function Out of R(z) = 1/2. Advances in Pure Mathematics, 12, 178-185.
https://doi.org/10.4236/apm.2022.123015

has been cited by the following article:

• TITLE: The Infinite Polynomial Products of the Gamma and Zeta Functions

  AUTHORS: Pál Doroszlai, Horacio Keller

  KEYWORDS: Gamma Function, Zeta Function, Critical Line

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.6, June 30, 2022

  ABSTRACT: Starting with the binomial coefficient and using its infinite product representation, the infinite product representation of the gamma function and of the zeta function are composed of an exponential and of a trigonometric component and proved. It is proved, that all these components define imaginary roots on the critical line, if written in the form as they are in the functional equation of the zeta function.