- Hasse's theorem
In
mathematics , three different theorems ofHelmut Hasse are sometimes called Hasse's theorem:* The
Hasse norm theorem
*Hasse's theorem on elliptic curves
* TheHasse-Minkowski theorem
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Hasse's theorem
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Hasse norm theorem — In number theory, the Hasse norm theorem states that if L/K is a cyclic extension of number fields, then if a nonzero element of K is a local norm everywhere, then it is a global norm.Here to be a global norm means to be an element k of K such… … Wikipedia
Hasse–Minkowski theorem — In mathematics, the Hasse–Minkowski theorem states that a quadratic form is isotropic globally if and only if it is everywhere isotropic locally; it is the classic local global principle. Here to be isotropic means to that there is some non zero… … Wikipedia
Hasse's theorem on elliptic curves — In mathematics, Hasse s theorem on elliptic curves bounds the number of points on an elliptic curve over a finite field, above and below. If N is the number of points on the elliptic curve E over a finite field with q elements, then Helmut Hasse… … Wikipedia
Hasse principle — In mathematics, Helmut Hasse s local global principle, also known as the Hasse principle, is the idea that one can find an integer solution to an equation by using the Chinese remainder theorem to piece together solutions modulo powers of each… … Wikipedia
Hasse-Witt matrix — In mathematics, the Hasse Witt matrix H of a non singular algebraic curve C over a finite field F is the matrix of the Frobenius mapping ( p th power mapping where F has q elements, q a power of the prime number p ) with respect to a basis for… … Wikipedia
Hasse–Witt matrix — In mathematics, the Hasse–Witt matrix H of a non singular algebraic curve C over a finite field F is the matrix of the Frobenius mapping (p th power mapping where F has q elements, q a power of the prime number p) with respect to a basis for the… … Wikipedia
Theorem — The Pythagorean theorem has at least 370 known proofs[1] 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 … Wikipedia
Hasse–Davenport relation — The Hasse–Davenport relation, named after Helmut Hasse and Harold Davenport, is an equality in number theory relating gauss sums. One of its uses is in proving results regarding the zeta function of an algebraic variety. Statement of theorem Let… … Wikipedia
Helmut Hasse — Infobox Scientist name=Helmut Hasse birth date = August 25 1898 death date = December 26 1979 field = MathematicsHelmut Hasse (IPA2|ˈhasə) (25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known… … Wikipedia
Helmut Hasse — (* 25. August 1898 in Kassel; † 26. Dezember 1979 in Ahrensburg bei Hamburg) war ein deutscher Mathematiker und gilt als einer der führenden Algebraiker und Zahlentheoretiker seiner Zeit … Deutsch Wikipedia
