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Ernst Kummer information


Ernst Kummer
Born
Ernst Eduard Kummer

(1810-01-29)29 January 1810
Sorau, Prussia
Died14 May 1893(1893-05-14) (aged 83)
Berlin, Brandenburg, Germany
NationalityPrussian
Alma materUniversity of Halle (Ph.D., 1831)
Known forBessel functions, Kummer theory, Kummer surface, and other contributions
Scientific career
FieldsMathematics
InstitutionsUniversity of Berlin
University of Breslau
Gewerbeinstitut
Lomonosov University
ThesisDe cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis (1831/1832)
Doctoral advisorHeinrich Scherk
Doctoral studentsGotthold Eisenstein
Georg Frobenius
Lazarus Fuchs
Wilhelm Killing
Adolf Kneser
Franz Mertens
Hermann Schwarz
Georg Cantor
Hans Carl Friedrich von Mangoldt
Adolf Piltz
Friedrich Prym

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker.

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Ernst Kummer

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Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in...

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Kummer

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American actress Ernst Kummer (1810–1893), German mathematician Kummer configuration, a mathematical structure discovered by Ernst Kummer Kummer surface, a...

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Kummer surface

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In algebraic geometry, a Kummer quartic surface, first studied by Ernst Kummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle...

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Regular prime

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theory, a regular prime is a special kind of prime number, defined by Ernst Kummer in 1850 to prove certain cases of Fermat's Last Theorem. Regular primes...

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Leopold Kronecker

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is the work of man"). Kronecker was a student and life-long friend of Ernst Kummer. Leopold Kronecker was born on 7 December 1823 in Liegnitz, Prussia (now...

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Ernst

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war crimes Ernst Keil (1816-1878), German publisher Ernst af Klercker (1881-1955), Swedish general Ernst Kummer, German mathematician Ernst Laraque, Haitian...

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Hypergeometric function

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Friedrich Gauss (1813). Studies in the nineteenth century included those of Ernst Kummer (1836), and the fundamental characterisation by Bernhard Riemann (1857)...

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Heinrich Scherk

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distribution of prime numbers. He is also notable as the doctoral advisor of Ernst Kummer. (in German) Biography of Scherk Heinrich Scherk at the Mathematics Genealogy...

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Arthur Moritz Schoenflies

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Schoenflies married Emma Levin (1868–1939) in 1896. He studied under Ernst Kummer and Karl Weierstrass, and was influenced by Felix Klein. The Schoenflies...

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Hans Carl Friedrich von Mangoldt

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(Ph.D) in 1878 at the University of Berlin, where his supervisors were Ernst Kummer and Karl Weierstrass. He contributed to the solution of the prime number...

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Wilhelm Killing

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Münster and later wrote his dissertation under Karl Weierstrass and Ernst Kummer at Berlin in 1872. He taught in gymnasia (secondary schools) from 1868...

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Hermann Grassmann

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university position, whereupon that Ministry asked Ernst Kummer for his opinion of Grassmann. Kummer wrote back saying that Grassmann's 1846 prize essay...

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Kummer theory

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elements of the base field. The theory was originally developed by Ernst Eduard Kummer around the 1840s in his pioneering work on Fermat's Last Theorem...

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Ratio test

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Diverge if ρ ≤ 1 {\displaystyle \rho \leq 1} This extension is due to Ernst Kummer. Let ζn be an auxiliary sequence of positive constants. Define ρ n ≡...

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Ideal number

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in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind's definition of ideals for rings. An ideal...

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Hermann Schwarz

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Sobieszów, Poland). In 1868 he married Marie Kummer, who was the daughter to the mathematician Ernst Eduard Kummer and Ottilie née Mendelssohn (a daughter...

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Elwin Bruno Christoffel

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electricity in homogeneous bodies written under the supervision of Martin Ohm, Ernst Kummer and Heinrich Gustav Magnus. After receiving his doctorate, Christoffel...

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Cyclotomic field

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the failure of unique factorization in their rings of integers – that Ernst Kummer first introduced the concept of an ideal number and proved his celebrated...

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Georg Cantor

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Berlin, attending lectures by Leopold Kronecker, Karl Weierstrass and Ernst Kummer. He spent the summer of 1866 at the University of Göttingen, then and...

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Ideal class group

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This gave a finite abelian group, as was recognised at the time. Later Ernst Kummer was working towards a theory of cyclotomic fields. It had been realised...

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Kummer sum

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Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p, with p congruent to 1 modulo 3. They are named after Ernst Kummer, who...

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History of group theory

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of ideal class groups of a number field, generalizing Gauss's work. Ernst Kummer's attempts to prove Fermat's Last Theorem resulted in work introducing...

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