Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version)
Number Theory
2024-03-13 v1 Combinatorics
Abstract
We give an explicit formula for the -Frobenius number of triples associated with Diophantine equations , that is, the largest positive integer that can only be represented in ways by combining the three integers of the solutions of Diophantine equations . When , the Frobenius number has already been given.
Keywords
Cite
@article{arxiv.2403.07534,
title = {Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version)},
author = {Takao Komatsu and Neha Gupta and Manoj Upreti},
journal= {arXiv preprint arXiv:2403.07534},
year = {2024}
}