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Your search keyword '"Zhang, Zhongfeng"' showing total 2 results
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2 results on '"Zhang, Zhongfeng"'

1. On the Diophantine equation.

Author

Zhang, Zhongfeng

Subjects
*DIOPHANTINE geometry, *DIOPHANTINE equations, *DIOPHANTINE approximation, *DIOPHANTINE analysis, *GALOIS theory, *GALOIS cohomology
Abstract

In this paper, we study the Diophantine equation , and based on Frey-Hellegouarch curves and their corresponding Galois representations, we solve the equation for various choices of . [ABSTRACT FROM AUTHOR]

Published
2017
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2. ON THE DIOPHANTINE EQUATION axy + byz + czx = 0.

Author

ZHANG, ZHONGFENG and YUAN, PINGZHI

Subjects
*DIOPHANTINE equations, *LOGARITHMS, *FACTOR tables, *LINEAR algebra, *NATURAL numbers, *NUMBER theory, *MATHEMATICAL proofs
Abstract

Let a, b, c be integers. In this paper, we prove the integer solutions of the equation axy + byz + czx = 0 satisfy max{|x|, |y|, |z|} ≤ 2 max{a, b, c} when a, b, c are odd positive integers, and when a = b = 1, c = -1, the positive integer solutions of the equation satisfy max{x, y, z} < exp(exp(exp(5))). [ABSTRACT FROM AUTHOR]

Published
2012
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