Diophantine imaging reveals the broken symmetry of sums of integer cubes

Abstract We introduced a novel method for visualizing large diophantine datasets and in particular found that mapping the known integer triplets $$\{a,b,c\}$$ { a , b , c } solving either equations of the type $$a^3+b^3+c^3=d$$ a 3 + b 3 + c 3 = d or $$a^3+b^3+c^3=d^3$$ a 3 + b 3 + c 3 = d 3 on cert...

Полное описание

Библиографические подробности
Главные авторы: Eldar Sultanow, Max Henkel, Idriss J. Aberkane
Формат: Статья
Язык:English
Опубликовано: Nature Portfolio 2024-01-01
Серии:Scientific Reports
Online-ссылка:https://doi.org/10.1038/s41598-023-49960-y