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A Parabolic Cylinder Function in the Riemann-Siegel Integral Formula

Published 3 Dec 2015 in math.NT | (1512.01186v1)

Abstract: We show that the two integrals in the Riemann-Siegel integral formula can be transformed into integral representations that contain the parabolic cylinder function $U(a,z)$ as kernel function.

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Authors (1)

  1. Wolfgang Gabcke 

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