Helmut Hasse was a German mathematician, born on 25 August 1898 and died on 26 December 1979. He worked in algebraic number theory and is known for fundamental contributions to class field theory, the study of how number fields extend one another, including the application of p-adic numbers to local class field theory. He also contributed to diophantine geometry, where his name is attached to the Hasse principle, and to the theory of local zeta functions. The local zeta functions he studied attach a counting series to the solutions of equations modulo each prime, which is why local methods run through his work.
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Source Helmut Hasse (Wikipedia)
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Source Hasse norm theorem (Wikipedia)
Source Hasse-Minkowski Theorem (Wikipedia)
Source Hasse's theorem on elliptic curves (Wikipedia)
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1. Helmut Hasse (Wikipedia)
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was a German mathematician
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25 August 1898
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After serving in the Imperial German Navy in World War I, he studied at the University of Göttingen, and then at the University of Marburg under Kurt Hensel, writing a dissertation in 1921 containing the Hasse-Minkowski theorem, as it is now called, on quadratic forms over number fields.
View the SourceHasse-Minkowski Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Hasse-Minkowski Theorem, Lead paragraphQuote, Proofs Credited: Hasse-Minkowski Theorem, Lead paragraph
The Hasse-Minkowski theorem is a fundamental result in number theory which states that two quadratic forms over a number field are
Hasse's theorem on elliptic curves (Wikipedia)
Proofs Credited: Hasse's Theorem on Elliptic Curves, Lead paragraphQuote, Proofs Credited: Hasse's Theorem on Elliptic Curves, Lead paragraph
Hasse's theorem on elliptic curves, also referred to as the Hasse bound, provides an estimate of the number of points on an elliptic
Hasse norm theorem (Wikipedia)
Proofs Credited: Hasse Norm Theorem, Lead paragraphQuote, Proofs Credited: Hasse Norm Theorem, Lead paragraph
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,
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