Explicit formulas for the $p$-adic valuations of Fibonomial coefficients II

Explicit formulas for the $p$-adic valuations of Fibonomial coefficients II

In this article, we give explicit formulas for the $p$-adic valuations of the Fibonomial coefficients $\binom{p^a n}{n}_F$ for all primes $p$ and positive integers $a$ and $n$. This is a continuation from our previous article extending some results in the literature, which deal only with $p = 2,3,5,...

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Bibliographic Details
Main Authors: Phakhinkon Phunphayap, Prapanpong Pongsriiam
Format: Article
Language:English
Published: AIMS Press 2020-07-01
Series:AIMS Mathematics
Subjects:
fibonacci number
binomial coefficient
fibonomial coefficient
$p$-adic valuation
$p$-adic order
divisibility
Online Access:https://www.aimspress.com/article/10.3934/math.2020364/fulltext.html

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https://www.aimspress.com/article/10.3934/math.2020364/fulltext.html

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