Abstract
In this paper, we study maximal, minimal, normal and average order of the function $$f(n) = \prod_{k=0}^{b} n/gcd(n,k!)$$ which is the cardinality of the set of polynomial maps from $\mathbb{Z}$ into $\mathbb{Z}_{n}$.
Citation
Florian Luca. Igor E. Shparlinski. "On the number of polynomial maps into $\mathbb{Z}_{n}$." Tsukuba J. Math. 30 (2) 439 - 449, December 2006. https://doi.org/10.21099/tkbjm/1496165073
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