In
: Consider two non-singular curves "C" and "C"′ having the same genus "g" > 1. If there is a rational correspondence φ between "C" and "C"′, then φ is a
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Heinrich Martin Weber — (5 March 1842 ndash; 17 May 1913) was a German mathematician who specialized in algebra and number theory. He is best known for his text Lehrbuch der Algebra published in 1895 and it is his work in algebra and number theory. Weber was born in… … Wikipedia
De Franchis theorem — In mathematics, the de Franchis theorem is one of a number of closely related statements applying to compact Riemann surfaces, or, more generally, algebraic curves, X and Y, in the case of genus g > 1. The simplest is that the automorphism… … Wikipedia
Kronecker–Weber theorem — In algebraic number theory, the Kronecker–Weber theorem states that every finite abelian extension of the field of rational numbers Q, or in other words every algebraic number field whose Galois group over Q is abelian, is a subfield of a… … Wikipedia
Extreme value theorem — This article is about continuous functions in analysis. For statistical theorems about the largest observation in a sequence of random variables, see extreme value theory. A continuous function ƒ(x) on the closed interval [a,b] showing the… … Wikipedia
Stark–Heegner theorem — In number theory, a branch of mathematics, the Stark–Heegner theorem states precisely which quadratic imaginary number fields admit unique factorisation in their ring of integers. It solves a special case of Gauss s class number problem of… … Wikipedia
Parseval's theorem — In mathematics, Parseval s theorem [Parseval des Chênes, Marc Antoine Mémoire sur les séries et sur l intégration complète d une équation aux differences partielle linéaire du second ordre, à coefficiens constans presented before the Académie des … Wikipedia
Four-vertex theorem — The Four vertex theorem states that the curvature function of a simple, closed plane curve has at least four local extrema (specifically, at least two local maxima and at least two local minima). The name of the theorem derives from the… … Wikipedia
Hilbert–Speiser theorem — In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any abelian extension K of the rational field Q . The Kronecker–Weber theorem… … Wikipedia
pi theorem — ▪ physics one of the principal methods of dimensional analysis, introduced by the American physicist Edgar Buckingham in 1914. The theorem states that if a variable A1 depends upon the independent variables A2, A3, . . . , An, then the… … Universalium
Théorème de Kronecker-Weber — Le théorème de Kronecker Weber établit en théorie algébrique des nombres le résultat suivant : toute extension abélienne finie du corps des nombres rationnels, c est à dire tout corps de nombres algébriques dont le groupe de Galois sur est… … Wikipédia en Français
