The Hasse–Minkowski theorem is a fundamental result in number theory which states that two quadratic forms over a number field are equivalent if and only...

several theorems of Helmut Hasse that are sometimes called Hasse's theorem: Hasse norm theorem Hasse's theorem on elliptic curves Hasse–Arf theorem Hasse–Minkowski...

theorem Minkowski's question mark function Abraham–Minkowski controversy Hasse–Minkowski theorem Minkowski separation theorem Smith–Minkowski–Siegel mass...

Hermann Minkowski Abraham–Minkowski controversy Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski (crater)...

reduced the number field case to the function field case. The Hasse–Minkowski theorem is a fundamental result in number theory that states that two quadratic...

explain all the failures of the Hasse principle. Counterexamples by Fujiwara and Sudo show that the Hasse–Minkowski theorem is not extensible to forms of...

Retrieved 2020-08-07. Cohen, Henri (2007). "Consequences of the Hasse–Minkowski Theorem". Number Theory Volume I: Tools and Diophantine Equations. Graduate...

field Hasse principle Hasse–Minkowski theorem Galois module Galois cohomology Brauer group Class field theory Abelian extension Kronecker–Weber theorem Hilbert...

Retrieved 2024-05-30. Cohen, Henri (2007). "Consequences of the Hasse–Minkowski Theorem". Number Theory Volume I: Tools and Diophantine Equations. Graduate...

under Kurt Hensel, writing a dissertation in 1921 containing the Hasse–Minkowski theorem, as it is now called, on quadratic forms over number fields. He...

integral solution x may also be found. Meyer's theorem is usually deduced from the Hasse–Minkowski theorem (which was proved later) and the following statement:...

dimension, discriminant, all local Hasse invariants and the signatures coming from real embeddings. Hasse–Minkowski theorem Lam (2005) p.118 Milnor & Husemoller...

Bruck–Ryser–Chowla theorem are not merely necessary, but also sufficient for the existence of such a rational matrix R. They can be derived from the Hasse–Minkowski theorem...

Minkowski (1864 - 1909), German mathematician: Brunn–Minkowski theorem Hasse–Minkowski theorem Hermite–Minkowski theorem Minkowski addition Minkowski...

Hasse–Minkowski theorem (number theory) Herbrand–Ribet theorem (cyclotomic fields) Hilbert–Speiser theorem (cyclotomic fields) Hilbert–Waring theorem...

October 1920. He published his work in 1923 and 1924. See Hasse principle, Hasse–Minkowski theorem. The local-global principle says that a general result...

Retrieved 2023-10-09. Cohen, Henri (2007). "Consequences of the Hasse–Minkowski Theorem". Number Theory Volume I: Tools and Diophantine Equations. Graduate...

Retrieved 2024-07-26. Cohen, Henri (2007). "Consequences of the Hasse–Minkowski Theorem". Number Theory Volume I: Tools and Diophantine Equations. Graduate...

1080/00150517.1993.12429300. Cohen, H. (2007). "5.4 Consequences of the Hasse–Minkowski Theorem". Number Theory Volume I: Tools and Diophantine Equations. Springer...

Retrieved 2023-10-09. Cohen, Henri (2007). "Consequences of the Hasse–Minkowski Theorem". Number Theory Volume I: Tools and Diophantine Equations. Graduate...

technique is called the local–global principle. For example, the Hasse–Minkowski theorem reduces the problem of finding rational solutions of quadratic...

Discriminant of a quadratic form Hasse–Minkowski theorem Quadric Ramanujan's ternary quadratic form Square class Witt group Witt's theorem A tradition going back...

{\displaystyle K} is turned into a denseness of K . {\displaystyle K.} Hasse-Minkowski Theorem. A quadratic form on K {\displaystyle K} is zero, if and only if...

property and remaining in the same category[clarification needed]. Hasse–Minkowski theorem Newton polygon Locally compact field Lifting-the-exponent lemma...

Erdős–Straus conjecture. No prime number can be a square, so by the Hasse–Minkowski theorem, whenever p {\displaystyle p} is prime, there exists a larger prime...

the Hardy–Littlewood circle method. For example, the Hasse–Minkowski theorem says that the Hasse principle holds for quadric hypersurfaces over a number...

additional restrictions on the attainability of the bound using the Hasse–Minkowski theorem on the rational equivalence of quadratic forms, and showed that...

Douglas Hartree Hasse's algorithm – see Collatz conjecture, above Hasse diagram, principle – Helmut Hasse Hasse–Minkowski theorem – Helmut Hasse and Hermann...

the sequence of Hasse invariants. The kernel is I3. The symbol ring is a realisation of the Brauer-Wall group. The Hasse–Minkowski theorem implies that there...

the University of Königsberg, the "Albertina". In early 1882, Hermann Minkowski (two years younger than Hilbert and also a native of Königsberg but had...