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Serge Lang (French:; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra .
Serge Lang published a book Diophantine Geometry in the area in 1962, and by this book he coined the term "Diophantine geometry". [1] The traditional arrangement of material on Diophantine equations was by degree and number of variables, as in Mordell's Diophantine Equations (1969).
Template: Lang Algebra. 11 languages. ... Download as PDF; Printable version; In other projects ...
However, Serge Lang conjectured an improvement of Roth's result; in particular he conjectured that q 2+ε in the denominator of the right-hand side could be reduced to () +. Roth's work effectively ended the work started by Liouville, and his theorem allowed mathematicians to prove the transcendence of many more numbers, such as the ...
Steinberg () gave a useful improvement to the theorem.. Suppose that F is an endomorphism of an algebraic group G.The Lang map is the map from G to G taking g to g −1 F(g).. The Lang–Steinberg theorem states [3] that if F is surjective and has a finite number of fixed points, and G is a connected affine algebraic group over an algebraically closed field, then the Lang map is surjective.
Download as PDF; Printable version; ... the kernel is the space of solutions to the homogeneous equation f(v) ... Lang, Serge (1987), Linear Algebra ...
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can have only finitely many solutions in integers p and q. If one lets α run over the whole of the set of real numbers, not just the algebraic reals, then both Roth's conclusion and Lang's hold for almost all. So both the theorem and the conjecture assert that a certain countable set misses a certain set of measure zero. [1]