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Preprints, Working Papers, ... Year : 2019

REMAINDER PADÉ APPROXIMANTS FOR THE HURWITZ ZETA FUNCTION

Abstract

Following our earlier research, we use the method introduced by the author in [9] named Remainder Padé Approximant in [10], to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of ζ(2) and ζ(3) are provided.
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hal-01862806 , version 1 (27-08-2018)

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Marc Prévost. REMAINDER PADÉ APPROXIMANTS FOR THE HURWITZ ZETA FUNCTION. 2018. ⟨hal-01862806⟩
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