Demonstration de la conjecture de Dumont

2005/07/07 by Bodo Lass, Lass, Bodo
Mathematics · #05A05 #11D45 #11E20 #11E25 #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.CO #math.NT #msc:05A05 #msc:11D45 #msc:11E20 #msc:11E25

paper · pdf · doi:10.48550/arxiv.math/0507144

6 pages

arxiv created 2005/07/07 · openalex publication_date 2005/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Dumont has conjectured a marvellous identity, which generalizes, in particular, the classical results of Lagrange, Gauss, Jacobi and Kronecker on the sums of two, three and four squares. We give a combinatorial proof of Dumont's conjecture.

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