2016/02/02 by Dmitry Krachun, Krachun, Dmitry
Computer Science · Mathematics · #Advanced Topology and Set Theory #Analytic Number Theory Research #Computability, Logic, AI Algorithms #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1602.01133
openalex publication_date 2016/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study decompositions of natural numbers into triangular summands. For instance, we prove that any natural number can be represented as a sum of four triangular numbers, two of them having even indices and the other two having odd indices. This settles a conjecture by Zhi-Wei Sun (arXiv:1503.03743v8).