• mathematics, Ramanujan's ternary quadratic form is the algebraic expression x2 + y2 + 10z2 with integral values for x, y and z. Srinivasa Ramanujan considered...
    6 KB (731 words) - 11:00, 4 August 2024
  • through 15. ε-quadratic form Cubic form Discriminant of a quadratic form Hasse–Minkowski theorem Quadric Ramanujan's ternary quadratic form Square class...
    33 KB (4,566 words) - 03:12, 28 September 2024
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    List of Indian mathematicians Ramanujan graph Ramanujan summation Ramanujan's constant Ramanujan's ternary quadratic form Rank of a partition FRS (/ˈsriːnɪvɑːsə...
    105 KB (11,693 words) - 23:10, 10 October 2024
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    zeta function (PDF) Ono, Ken; Soundararajan, K. (1997), "Ramanujan's ternary quadratic form", Inventiones Mathematicae, 130 (3): 415–454, Bibcode:1997InMat...
    126 KB (16,771 words) - 22:33, 16 October 2024
  • Thumbnail for Ken Ono
    (Editor-in-Chief) Research in Number Theory (Editor-in-Chief) Ramanujan's ternary quadratic form Fall 2019, Thomas Jefferson Professor of Mathematics: https://uva...
    21 KB (1,822 words) - 18:55, 1 September 2024
  • is an example of a galactic algorithm. 1729 can be expressed as the quadratic form. Investigating pairs of its distinct integer-valued that represent every...
    11 KB (1,264 words) - 20:17, 17 October 2024
  • theta function Ramanujan graph Ramanujan's tau function Ramanujan's ternary quadratic form Ramanujan prime Ramanujan's constant Ramanujan's lost notebook...
    3 KB (244 words) - 07:48, 28 September 2024
  • Retrieved 11 November 2012. Ono, Ken; K Soundararajan (1997). "Ramanujan's ternary quadratic forms" (PDF). Inventiones Mathematicae. 130 (3): 415–454. Bibcode:1997InMat...
    32 KB (4,551 words) - 17:49, 17 October 2024
  • Thumbnail for Manjul Bhargava
    Manjul Bhargava (category Recipients of the SASTRA Ramanujan Prize)
    thesis generalized Gauss's classical law for composition of binary quadratic forms to many other situations. One major use of his results is the parametrization...
    24 KB (2,103 words) - 00:18, 4 October 2024
  • Leech lattice (category Quadratic forms)
    MR 0209983 O'Connor, R. E.; Pall, G. (1944), "The construction of integral quadratic forms of determinant 1", Duke Mathematical Journal, 11 (2): 319–331, doi:10...
    28 KB (4,304 words) - 02:25, 8 August 2024
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    is indecomposable. The set of all primitive Pythagorean triples forms a rooted ternary tree in a natural way; see Tree of primitive Pythagorean triples...
    81 KB (11,397 words) - 18:27, 19 October 2024
  • 7
    equation 2n − 7 = x2 is known as the Ramanujan–Nagell equation. 7 is one of seven numbers in the positive definite quadratic integer matrix representative of...
    41 KB (4,180 words) - 06:21, 10 October 2024
  • the calculation of π, setting a record of 17 million digits in 1985. Ramanujan's formulae anticipated the modern algorithms developed by the Borwein brothers...
    147 KB (17,481 words) - 04:55, 19 October 2024
  • eigenvalues of a self-adjoint operator. Hilbert's eleventh problem: classify quadratic forms over algebraic number fields. Hilbert's ninth problem: find the most...
    190 KB (19,530 words) - 14:35, 20 October 2024
  • Thumbnail for Euler's totient function
    Court Publishing Company. §409. J. J. Sylvester (1879) "On certain ternary cubic-form equations", American Journal of Mathematics, 2 : 357-393; Sylvester...
    44 KB (6,473 words) - 13:18, 17 October 2024
  • Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A067128 (Ramanujan's largely composite numbers)". The On-Line Encyclopedia of Integer Sequences...
    158 KB (25,925 words) - 13:09, 20 October 2024
  • the universe is non-Euclidean. Fermat conjectured that all numbers of the form 2 2 m + 1 {\displaystyle 2^{2^{m}}+1} (known as Fermat numbers) were prime...
    36 KB (1,566 words) - 06:04, 20 July 2024