Bessel functions, Kummer theory, Kummer surface, and other contributions
Scientific career
Fields
Mathematics
Institutions
University of Berlin University of Breslau Gewerbeinstitut Lomonosov University
Thesis
De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis(1831/1832)
Doctoral advisor
Heinrich Scherk
Doctoral students
Gotthold 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.
Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in...
American actress ErnstKummer (1810–1893), German mathematician Kummer configuration, a mathematical structure discovered by ErnstKummerKummer surface, a...
In algebraic geometry, a Kummer quartic surface, first studied by ErnstKummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle...
theory, a regular prime is a special kind of prime number, defined by ErnstKummer in 1850 to prove certain cases of Fermat's Last Theorem. Regular primes...
is the work of man"). Kronecker was a student and life-long friend of ErnstKummer. Leopold Kronecker was born on 7 December 1823 in Liegnitz, Prussia (now...
war crimes Ernst Keil (1816-1878), German publisher Ernst af Klercker (1881-1955), Swedish general ErnstKummer, German mathematician Ernst Laraque, Haitian...
Friedrich Gauss (1813). Studies in the nineteenth century included those of ErnstKummer (1836), and the fundamental characterisation by Bernhard Riemann (1857)...
distribution of prime numbers. He is also notable as the doctoral advisor of ErnstKummer. (in German) Biography of Scherk Heinrich Scherk at the Mathematics Genealogy...
Schoenflies married Emma Levin (1868–1939) in 1896. He studied under ErnstKummer and Karl Weierstrass, and was influenced by Felix Klein. The Schoenflies...
(Ph.D) in 1878 at the University of Berlin, where his supervisors were ErnstKummer and Karl Weierstrass. He contributed to the solution of the prime number...
Münster and later wrote his dissertation under Karl Weierstrass and ErnstKummer at Berlin in 1872. He taught in gymnasia (secondary schools) from 1868...
university position, whereupon that Ministry asked ErnstKummer for his opinion of Grassmann. Kummer wrote back saying that Grassmann's 1846 prize essay...
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...
Diverge if ρ ≤ 1 {\displaystyle \rho \leq 1} This extension is due to ErnstKummer. Let ζn be an auxiliary sequence of positive constants. Define ρ n ≡...
in the ring of integers of a number field; the idea was developed by ErnstKummer, and led to Richard Dedekind's definition of ideals for rings. An ideal...
Sobieszów, Poland). In 1868 he married Marie Kummer, who was the daughter to the mathematician Ernst Eduard Kummer and Ottilie née Mendelssohn (a daughter...
electricity in homogeneous bodies written under the supervision of Martin Ohm, ErnstKummer and Heinrich Gustav Magnus. After receiving his doctorate, Christoffel...
the failure of unique factorization in their rings of integers – that ErnstKummer first introduced the concept of an ideal number and proved his celebrated...
Berlin, attending lectures by Leopold Kronecker, Karl Weierstrass and ErnstKummer. He spent the summer of 1866 at the University of Göttingen, then and...
This gave a finite abelian group, as was recognised at the time. Later ErnstKummer was working towards a theory of cyclotomic fields. It had been realised...
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 ErnstKummer, who...
of ideal class groups of a number field, generalizing Gauss's work. ErnstKummer's attempts to prove Fermat's Last Theorem resulted in work introducing...