When is a polygonal pyramid number again polygonal?

Masanobu Kaneko, Katsuichi Tachibana

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider a Diophantine equation arising from a generalization of the classical Lucas problem of the square pyramid: when is the sum of the first m-gonal numbers n-gonal? We use the theory of elliptic surfaces to deduce several families of parametric solutions of the problem.

Original languageEnglish
Pages (from-to)149-165
Number of pages17
JournalRocky Mountain Journal of Mathematics
Volume32
Issue number1
DOIs
Publication statusPublished - Jan 1 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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