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单词 Lagrange Number (Diophantine Equation)
释义

Lagrange Number (Diophantine Equation)

Given a Fermat Difference Equation (a quadratic Diophantine Equation)


with a Quadratic Surd, assign to each solution the Lagrange number


The product and quotient of two Lagrange numbers are also Lagrange numbers. Furthermore, every Lagrange number is aPower of the smallest Lagrange number with an integral exponent.

See also Pell Equation


References

Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, pp. 94-95, 1965.


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更新时间:2024/11/15 3:36:36