Thue's theorem
Encyclopedia
Thue's theorem may refer to the following mathematical theorem
s named after Axel Thue
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Theorem
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms...
s named after Axel Thue
Axel Thue
Axel Thue was a Norwegian mathematician, known for highly original work in diophantine approximation, and combinatorics....
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- Thue equationThue equationIn mathematics, a Thue equation is a Diophantine equation of the formwhere ƒ is an irreducible bivariate form of degree at least 3 over the rational numbers, and r is a nonzero rational number...
has finitely many solutions in integers. - Thue–Siegel–Roth theoremThue–Siegel–Roth theoremIn mathematics, the Thue–Siegel–Roth theorem, also known simply as Roth's theorem, is a foundational result in diophantine approximation to algebraic numbers. It is of a qualitative type, stating that a given algebraic number α may not have too many rational number approximations, that are 'very...
, also known as Roth's theorem, is a foundational result in diophantine approximation to algebraic numbers. - The 2-dimensional analog of Kepler's conjecture: the regular hexagonal packing is the densest sphere packing in the plane (1890).