• 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
  • 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
  • Thumbnail for List of important publications in mathematics
    considering partial sums, which Dirichlet transformed into a particular Dirichlet integral involving what is now called the Dirichlet kernel. This paper introduced...
    96 KB (10,250 words) - 13:59, 25 July 2024