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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American actress Ernst Kummer (1810–1893), German mathematician Kummer configuration, a mathematical structure discovered by Ernst Kummer Kummer surface, a...
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Ernst Kummer extended this and proved the theorem for all regular primes, leaving irregular primes to be analyzed individually. Building on Kummer's work...
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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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binomial coefficient. The theorem is named after Ernst Kummer, who proved it in a paper, (Kummer 1852). Kummer's theorem states that for given integers n ≥ m ≥ 0...
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after Richard Dedekind who developed the theorem based on the work of Ernst Kummer.[citation needed][when?] Let K {\displaystyle K} be a number field such...
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defined below, is related to the polylogarithm. Both are named for Ernst Kummer. Kummer's function is defined by Λ n ( z ) = ∫ 0 z log n − 1 | t | 1 + t...
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Regular prime (redirect from Kummer's criterion)
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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Hypergeometric function (redirect from Kummer's formula)
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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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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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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conjecture was first made by Ernst Kummer on 28 December 1849 and 24 April 1853 in letters to Leopold Kronecker, reprinted in (Kummer 1975, pages 84, 93, 123–124)...
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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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(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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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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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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analysis, Kummer's transformation of series is a method used to accelerate the convergence of an infinite series. The method was first suggested by Ernst Kummer...
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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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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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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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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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Ratio test (section 6. Kummer's test)
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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class groups of cyclotomic fields. A special case was first proven by Ernst Kummer (1847) while the general result is due to Ludwig Stickelberger (1890)...
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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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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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Hermann Grassmann (redirect from Hermann Ernst Grassmann)
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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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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Berlin where he was a student of Leopold Kronecker, Karl Weierstrass, and Ernst Kummer. In 1877, he entered the University of Berlin and took his doctorate...
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semester before returning to Berlin, where he attended lectures by Kronecker, Kummer and Karl Weierstrass. He received his doctorate (awarded with distinction)...
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the class group of certain number fields. It is a strengthening of Ernst Kummer's theorem to the effect that the prime p divides the class number of the...
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