• Thumbnail for Gotthold Eisenstein
    Ferdinand Gotthold Max Eisenstein (16 April 1823 – 11 October 1852) was a German mathematician. He specialized in number theory and analysis, and proved...
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  • Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with infinite series expansions that may be written...
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  • Thumbnail for Eisenstein integer
    In mathematics, the Eisenstein integers (named after Gotthold Eisenstein), occasionally also known as Eulerian integers (after Leonhard Euler), are the...
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  • Eisenstein (Ore Mountains), a mountain in Saxony, Germany Eisenstein, Wisconsin, a town in the United States Eisenstein (surname) Gotthold Eisenstein...
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  • This criterion is named after Gotthold Eisenstein. In the early 20th century, it was also known as the Schönemann–Eisenstein theorem because Theodor Schönemann...
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  • In mathematics, Eisenstein's theorem, named after the German mathematician Gotthold Eisenstein, applies to the coefficients of any power series which is...
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  • Gotthold is a name of German origin. People with the name include: Gotthold Eisenstein (1823–1852), German mathematician Gotthold Gloger (1924–2001),...
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  • Thumbnail for Carl Friedrich Gauss
    received it. He also gave successful support to the mathematician Gotthold Eisenstein in Berlin. Gauss was loyal to the House of Hanover. After King William...
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  • Thumbnail for Bernhard Riemann
    Jacob Jacobi, Peter Gustav Lejeune Dirichlet, Jakob Steiner, and Gotthold Eisenstein were teaching. He stayed in Berlin for two years and returned to...
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  • Similar to a Pythagorean triple, an Eisenstein triple (named after Gotthold Eisenstein) is a set of integers which are the lengths of the sides of a triangle...
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  • proofs, there are two which apply types of double counting. One by Gotthold Eisenstein counts lattice points. Another applies Zolotarev's lemma to ( Z /...
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  • Thumbnail for Peter Gustav Lejeune Dirichlet
    the doctoral theses of several important German mathematicians, as Gotthold Eisenstein, Leopold Kronecker, Rudolf Lipschitz and Carl Wilhelm Borchardt,...
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  • activist Daniel Eisenstein (born 1970), American cosmologist and academic Elizabeth Eisenstein (1923-2016), American historian Gotthold Eisenstein (1823-1852)...
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  • Thumbnail for Number
    numbers. His student, Gotthold Eisenstein, studied the type a + bω, where ω is a complex root of x3 − 1 = 0 (now called Eisenstein integers). Other such...
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  • Thumbnail for Moritz Abraham Stern
    taught Gauss's student Bernhard Riemann. Stern was very helpful to Gotthold Eisenstein in formulating a proof of the quadratic reciprocity theorem. Stern...
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  • – Samuel Wesley, English organist and composer (b. 1766) 1852 – Gotthold Eisenstein, German mathematician and academic (b. 1823) 1889 – James Prescott...
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  • George Mercer Dawson (1849–1901), Canadian geologist and surveyor Gotthold Eisenstein, mathematician Augustin-Jean Fresnel Richard Brinsley Hinds (1811–1846)...
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  • q_{p}(a)&&{\pmod {p}}\quad ({\text{since }}2\mid p-1)\end{aligned}}} In 1850, Gotthold Eisenstein proved that if a and b are both coprime to p, then: q p ( a b ) ≡...
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  • Thumbnail for Ernst Kummer
    evolvendis (1831/1832) Doctoral advisor Heinrich Scherk Doctoral students Gotthold Eisenstein Georg Frobenius Lazarus Fuchs Wilhelm Killing Adolf Kneser Franz...
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  • Thumbnail for Quadratic reciprocity
    Gauss, Peter Gustav Lejeune Dirichlet, Carl Gustav Jakob Jacobi, Gotthold Eisenstein, Richard Dedekind, Ernst Kummer, and David Hilbert to the study of...
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  • Madox Brown, French-English soldier and painter (d. 1893) 1823 – Gotthold Eisenstein, German mathematician and academic (d. 1852) 1826 – Sir James Corry...
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  • 1215/ijm/1256048104, ISSN 0019-2082, MR 0537798, Zbl 0393.12029 Eisenstein, Gotthold (1848), "Zur Theorie der quadratischen Zerfällung der Primzahlen...
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  • Thumbnail for Alexander von Humboldt
    When Humboldt was an elderly man, he aided another young scholar, Gotthold Eisenstein, a brilliant, young, Jewish mathematician in Berlin, for whom he...
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  • quadratic fields, and in 3 dimensions some partial results were given by Gotthold Eisenstein. The mass formula in higher dimensions was first given by H. J. S...
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  • notable papers, including works of Niels Henrik Abel, Georg Cantor, Gotthold Eisenstein, Carl Friedrich Gauss and Otto Hesse. It was edited by Carl Wilhelm...
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  • a=b^{n}} or a = 2 n 2 b n . {\displaystyle a=2^{\frac {n}{2}}b^{n}.} Eisenstein, Gotthold (1850), "Beweis der allgemeinsten Reciprocitätsgesetze zwischen reellen...
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  • Thumbnail for List of Humboldt University of Berlin people
    Einstein (1879–1955), physicist, Nobel Prize for physics in 1921 Gotthold Eisenstein (1823–1852), mathematician, specialized in number theory and analysis...
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  • all, of the known proofs of quadratic reciprocity. For example, Gotthold Eisenstein: 236  used Gauss's lemma to prove that if p is an odd prime then...
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  • 1968 occupation of Czechoslovakia † MPC · 20164 20174 Eisenstein 1996 XD20 Gotthold Eisenstein (1823–1852), German mathematician JPL · 20174 20180 Annakolény...
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  • Thumbnail for Norbert Schappacher
    Kramer, J.; Schappacher, N.; Thiele, E.-J., eds. (6 December 2012). "Gotthold Eisenstein by Norbert Schappacher". Mathematics in Berlin. Birkhäuser. pp. 55–60...
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