Notes on the Riemann zeta-function-IV
Résumé
In earlier papers of this series III and IV, poles of certain meromorphic functions involving Riemann's zeta-function at shifted arguments and Dirichlet polynomials were studied. The functions in question were quotients of products of such functions, and it was shown that they have ``many'' poles. The main result in the present paper is that the same conclusion remains valid even for finite sums of functions of this type.
Domaines
Mathématiques [math]| Origine | Accord explicite pour ce dépôt |
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