Congruences modulo powers of 5 for three-colored Frobenius partitions

2010/02/27 by Xinhua Xiong, Xiong, Xinhua
Mathematics · #11F33 #11P83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:11F33 #msc:11P83

paper · pdf · doi:10.48550/arxiv.1003.0072

7 pages

openalex publication_date 2010/02/27 · arxiv created 2010/04/27 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by a question of Lovejoy \citelovejoy, we show that three-colored Frobenius partition function \c3 and related arithmetic fuction \cc3 vanish modulo some powers of 5 in certain arithmetic progressions.

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