• Thumbnail for Peter Gustav Lejeune Dirichlet
    Johann Peter Gustav Lejeune Dirichlet (German: [ləˈʒœn diʁiˈkleː]; 13 February 1805 – 5 May 1859) was a German mathematician. In number theory, he proved...
    31 KB (3,574 words) - 03:11, 28 July 2024
  • sea, Dirac Prize, Fermi–Dirac statistics Johann Dirichlet, German mathematician – Dirichlet function, Dirichlet's theorem on arithmetic progressions Walt...
    117 KB (11,082 words) - 12:41, 13 July 2024
  • Thumbnail for Analytic number theory
    begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic progressions...
    27 KB (3,825 words) - 07:06, 21 July 2024
  • Thumbnail for Leopold Kronecker
    with Peter Gustav Lejeune Dirichlet and in 1845 defended his dissertation in algebraic number theory written under Dirichlet's supervision. After obtaining...
    15 KB (1,400 words) - 06:50, 6 May 2024
  • Thumbnail for Eduard Heine
    studied mathematics under Peter Gustav Lejeune Dirichlet, while also attending classes of Jakob Steiner and Johann Franz Encke. In 1842 he was awarded a PhD...
    6 KB (511 words) - 16:29, 10 June 2024
  • considers that "In essence this is the definition that became known as Dirichlet's definition." Edwards also credits Euler with a general concept of a function...
    78 KB (10,640 words) - 22:16, 7 January 2024
  • Like the zeta function, Dirichlet series in general play an important role in analytic number theory. Generally a Dirichlet series converges if the real...
    58 KB (9,677 words) - 21:50, 11 July 2024
  • Thumbnail for Nikolai Lobachevsky
    known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula. William Kingdon...
    21 KB (2,314 words) - 10:39, 14 June 2024
  • Thumbnail for Carl Gustav Jacob Jacobi
    Dictionary. Chisholm 1911. Koenigsberger 1904. Pierpont 1906, pp. 261–262. Dirichlet 1855, pp. 193–217. James 2002, pp. 69–74. Van Vleck 1916, pp. 1–13. Jacobi...
    20 KB (2,058 words) - 04:18, 10 July 2024
  • algebraic invariants Carl Neumann (1832–1925), mathematician, worked on the Dirichlet principle Rudolf Lipschitz (1832–1903), mathematician, named the Lipschitz...
    15 KB (1,568 words) - 23:08, 2 June 2024