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Congruences related to Miki's identity

2020/05/19 by Claire Levaillant, Claire I. Levaillant, Levaillant, Claire I.
Mathematics · #05E99 (primary) 11C08 11Y05 (secondary) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05E99 #msc:11C08 #msc:11Y05

paper · pdf · doi:10.48550/arxiv.2005.09434

37 pages

arxiv created 2020/05/19 · openalex publication_date 2020/05/19 · arxiv updated 2020/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given an odd prime p, we present three independent ways of relating modulo p certain truncated convolutions of divided Bernoulli numbers to certain full convolutions of divided Bernoulli numbers.

Citations

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