Translations and extensions of the Nicomachus identity

Autor:	Kim, Seon-Hong, Stolarsky, Kenneth B.
Rok vydání:	2023
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We search for Nicomachean identities by adding translation parameters, variable parameters, sequence products and adjoining further numbers to sequences. The solutions of definite and indefinite quadratic forms arise in this study of cubic equations obtained from translation parameters. Our search leads to many general Nicomachean-type identities. We also study the geometry of adjoining two numbers to sequences satisfying the Nicomachean identity.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.17402 Zobrazit plný text záznamu View this record from Arxiv