Wilson Theorems for Double-, Hyper-, Sub- and Super-factorials
Christian Aebi, Grant Cairns
TL;DR
This paper extends Wilson's theorem to various factorial-related functions, providing new theoretical insights into their properties and relationships.
Contribution
It introduces generalized Wilson theorems for double factorials, hyperfactorials, subfactorials, and superfactorials, broadening the scope of classical factorial results.
Findings
New Wilson-type theorems for multiple factorial functions
Theoretical formulas linking factorial variants and prime properties
Enhanced understanding of factorial generalizations in number theory
Abstract
We present generalisations of Wilson's theorem for double factorials, hyperfactorials, subfactorials and superfactorials.
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Taxonomy
Topicsgraph theory and CDMA systems · Mathematics and Applications · Polynomial and algebraic computation