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math.CA2023
On a Bessel function series related to the Riemann xi function
Alexander E. Patkowski
We establish new Fourier integral evaluations involving the Riemann xi function related to a series involving Bessel function of the first kind. We show this infinite series involv…
math.CA2023
On the harmonic continuation of the Riemann xi function
Alexander E. Patkowski
We generalize the harmonic continuation of the Riemann xi-function to the -dimension case, to obtain the solution to the Dirichlet problem on We also pro…