Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4
-
Published:2023-11-02
Issue:
Volume:
Page:1-17
-
ISSN:1793-0421
-
Container-title:International Journal of Number Theory
-
language:en
-
Short-container-title:Int. J. Number Theory
Author:
Agarwal Archit1ORCID,
Garg Meghali1ORCID
Affiliation:
1. Department of Mathematics, IIT Indore, Simrol, Indore, Madhya Pradesh 453552, India
Abstract
Ramanujan, in his lost notebook, gave an interesting identity, which generates infinite families of solutions to Euler’s Diophantine equation [Formula: see text]. In this paper, we produce a few infinite families of solutions to the aforementioned Diophantine equation as well as for the Diophantine equation [Formula: see text] in the spirit of Ramanujan.
Funder
Prime Minister's Research Fellowship, India
DST FIST Project
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory