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arXiv 0910.1576math.GM
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关于丢番图方程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

Roger Tian

摘要:

本文是文[1]的继续,文[1]中我研究了Harvey Friedman关于函数f(x,y)= x^2 + y^3是否满足任何恒等式的问题,但不需要了解文[1]就能理解本文。我们将把指数丢番图方程2^a3^b + 2^c3^d = 2^e3^f + 2^g3^h分解成更容易分析的子情形。然后,我们将求解通过对这些子情形之一施加限制而获得的方程,之后,我们将求解该方程的推广。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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