On the Diophantine Equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h

Details On the Diophantine Equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h On the Diophantine Equation 2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h

2009-10-08

arxiv.org/abs/0910.1576v1

Mathematics

General Mathematics

This 6-page paper is the second part of an honors thesis I have written as an undergraduate at UC Berkeley

Scientific paper

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.

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