A systematic and complete proof of the existence and uniqueness of self-descriptive numbers

2021/05/03 by Orazio Sorgoná, Sorgoná, Orazio
Computer Science · Mathematics · #11B30 (Primary) #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #math.CO #msc:11B30

paper · pdf · doi:10.48550/arxiv.2105.01575

arxiv created 2021/05/03 · openalex publication_date 2021/05/03 · arxiv updated 2021/05/05 · openalex created_date 2021/05/10 · openalex updated_date 2026/07/28

Abstract

All the already known results on self descriptive numbers, together with the demonstration of the uniqueness for bases greater than 6, are here obtained through a systematic scheme of proof and not trial and error. The proof is also complete for all the possible cases had been taken into account.

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