On the Diophantine Equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h
General Mathematics
2009-10-13 v1
Abstract
This paper is a continuation of [1], in which I studied Harvey Friedman's problem of whether the function f(x,y) = x^2 + y^3 satisfies any identities; however, no knowledge of [1] is necessary to understand this paper. We will break the exponential Diophantine equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h into subcases that are easier to analyze. Then we will solve an equation obtained by imposing a restriction on one of these subcases, after which we will solve a generalization of this equation.
Keywords
Cite
@article{arxiv.0910.1576,
title = {On the Diophantine Equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h},
author = {Roger Tian},
journal= {arXiv preprint arXiv:0910.1576},
year = {2009}
}
Comments
This 6-page paper is the second part of an honors thesis I have written as an undergraduate at UC Berkeley