mathematics, Ramanujan's ternary quadratic form is the algebraic expression x2 + y2 + 10z2 with integral values for x, y and z. Srinivasa Ramanujan considered...
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through 15. ε-quadratic form Cubic form Discriminant of a quadratic form Hasse–Minkowski theorem Quadric Ramanujan's ternary quadratic form Square class...
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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...
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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...
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(Editor-in-Chief) Research in Number Theory (Editor-in-Chief) Ramanujan's ternary quadratic form Fall 2019, Thomas Jefferson Professor of Mathematics: https://uva...
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1729 (number) (redirect from Ramanujan's number)
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...
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theta function Ramanujan graph Ramanujan's tau function Ramanujan's ternary quadratic form Ramanujan prime Ramanujan's constant Ramanujan's lost notebook...
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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
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...
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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...
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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...
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Pi (section Modular forms and theta functions)
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
Court Publishing Company. §409. J. J. Sylvester (1879) "On certain ternary cubic-form equations", American Journal of Mathematics, 2 : 357-393; Sylvester...
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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