Functional equations for regularized zeta-functions and diffusion processes

@article{Saldivar2020FunctionalEF,
title={Functional equations for regularized zeta-functions and diffusion processes},
author={A. Saldivar and Nami F. Svaiter and C A D Zarro},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2020},
volume={53}
}

Journal of Physics A: Mathematical and Theoretical

We discuss modifications in the integral representation of the Riemann zeta-function that lead to generalizations of the Riemann functional equation that preserves the symmetry s → (1 − s) in the critical strip. By modifying one integral representation of the zeta-function with a cut-off that does exhibit the symmetry x ↦ 1/x, we obtain a generalized functional equation involving Bessel functions of second kind. Next, with another cut-off that does exhibit the same symmetry, we obtain a… Expand

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