Identities and congruences involving the Fubini polynomials

2017/06/27 by Miloud Mihoubi, Mihoubi, Miloud, Said Taharbouchet +1
Mathematics · #05A18 #05A40 #11A07 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1706.08950

openalex publication_date 2017/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the umbral representation of the Fubini polynomials F_xⁿ:=F_n(x) to derive some properties involving these polynomials. For any prime number p and any polynomial f with integer coefficients, we show (f(F_x))^p≡ f(F_x) and we give other curious congruences.

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