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Pain, J.-C. (2024) Integral Representations of the Riemann Zeta Function of Odd Argument. arXiv:2410.23096.

has been cited by the following article:

• TITLE: Integral Representations of the Zeta Function

  AUTHORS: Shawn Tang

  KEYWORDS: Integral Representation, Riemann Zeta Function, Reproducing Kernel, Dirac Delta Function

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.12, December 29, 2025

  ABSTRACT: The Riemann Zeta function ζ( s ) has many different representations. In this paper, we derive several new integral representations of the Zeta function using the inverse Mellin transform and a hyperbolic cosecant identity. We also derive a general integral transformation similar to the Dirac delta function and propose a few new avenues for solving Riemann’s Hypothesis.