The Riemann derangement theorem and divergent permutations

Roman Wituła

Abstract


In this paper,  a strengthening of the Riemann Derangement Theorem, by
selecting the appropriate permutation of $\mathbb{N}$ from two
fami-lies $\mathfrak{DC}$ and $\mathfrak{DD}$ of
permutations of $\mathbb{N},$ is presented. The mentioned families
are characterized  in a natural way; their algebraic properties were
investigated by the author in his previous works.

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DOI: https://doi.org/10.2478/tatra.v52i0.181