• Corpus ID: 227745738

# Derangements and the $p$-adic incomplete gamma function.

@article{ODesky2020DerangementsAT,
title={Derangements and the \$p\$-adic incomplete gamma function.},
author={Andrew O’Desky and D. Harry Richman},
journal={arXiv: Number Theory},
year={2020}
}
• Published 8 December 2020
• Mathematics
• arXiv: Number Theory
We introduce a new $p$-adic analogue of the incomplete gamma function. We also introduce a closely related family of combinatorial sequences counting derangements and arrangements in certain wreath products.
1 Citations
On pseudo-polynomials divisible only by a sparse set of primes and $\a$-primary pseudo-polynomials
We explore two questions about pseudo-polynomials, which are functions f : N → Z such that k divides f(n+ k)− f(n) for all n, k. First, for certain arbitrarily sparse sets R, we construct

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