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In number theory, a branch of mathematics, Ramanujan's ternary quadratic form is the algebraic expression x 2 + y 2 + 10z 2 with integral values for x, y and z. [ 1 ] [ 2 ] Srinivasa Ramanujan considered this expression in a footnote in a paper [ 3 ] published in 1916 and briefly discussed the representability of integers in this form.
An integral quadratic form has integer coefficients, such as x 2 + xy + y 2; equivalently, given a lattice Λ in a vector space V (over a field with characteristic 0, such as Q or R), a quadratic form Q is integral with respect to Λ if and only if it is integer-valued on Λ, meaning Q(x, y) ∈ Z if x, y ∈ Λ.
Ramanujan's ternary quadratic form; S. ... Quadratic form (statistics) Surgery structure set; Sylvester's law of inertia; T. Tensor product of quadratic forms; U. U ...
A qutrit (or quantum trit) is a unit of quantum information that is realized by a 3-level quantum system, that may be in a superposition of three mutually orthogonal quantum states.
1. A contravariant of a ternary form, giving the equation of a dual curve. (Elliott 1895, p.400) reciprocity Exchanging the degree of a form with the degree of an invariant. For example, Hermite's law of reciprocity states that the degree p invariants of a form of degree n correspond to the degree n invariants of a form of degree p.
This is an accepted version of this page This is the latest accepted revision, reviewed on 8 January 2025. German mathematician, astronomer, geodesist, and physicist (1777–1855) "Gauss" redirects here. For other uses, see Gauss (disambiguation). Carl Friedrich Gauss Portrait by Christian Albrecht Jensen, 1840 (copy from Gottlieb Biermann, 1887) Born Johann Carl Friedrich Gauss (1777-04-30 ...
More teams than ever have national title dreams in the second week of December. The first 12-team playoff is less than two weeks away, as Indiana and Notre Dame will kick off the postseason on ...
Burton Wadsworth Jones (1 October 1902 – 8 December 1983) was an American mathematician, known for his work on quadratic forms. B. W. Jones was born in Redwood Falls, Minnesota . He received his BA in 1923 from Grinell College , his MA in 1924 from Harvard University , and his PhD in mathematics in 1928 from the University of Chicago under L ...