elliptic form
31Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …
32Lenstra elliptic curve factorization — The Lenstra elliptic curve factorization or the elliptic curve factorization method (ECM) is a fast, sub exponential running time algorithm for integer factorization which employs elliptic curves. Technically, the ECM is classified as a… …
33Siegel modular form — In mathematics, Siegel modular forms are a major type of automorphic form. These stand in relation to the conventional elliptic modular forms as abelian varieties do in relation to elliptic curves; the complex manifolds constructed as in the… …
34Mock modular form — In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta functions were described by Srinivasa… …
35Legendre form — In mathematics, the Legendre forms of elliptic integrals, F ( phi;, k ), E ( phi;, k ) and Pi; ( phi;, k , n ) are defined by:F(phi,k) = int 0^phi frac{1}{sqrt{1 k^2 sin^2(t) dt,:E(phi,k) = int 0^phi sqrt{1 k^2 sin^2(t)},dt,and:Pi(phi,k,n) = int… …
36half-elliptic spring — Spring Spring, n. [AS. spring a fountain, a leap. See {Spring}, v. i.] 1. A leap; a bound; a jump. [1913 Webster] The prisoner, with a spring, from prison broke. Dryden. [1913 Webster] 2. A flying back; the resilience of a body recovering its… …
37Bilinear form — In mathematics, a bilinear form on a vector space V is a bilinear mapping V × V → F , where F is the field of scalars. That is, a bilinear form is a function B : V × V → F which is linear in each argument separately::egin{array}{l} ext{1. }B(u + …
38Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… …
39Cusp form — In number theory, a branch of mathematics, a cusp form is a particular kind of modular form, distinguished in the case of modular forms for the modular group by the vanishing in the Fourier series expansion (see q expansion) Σanqn of the constant …
40Logarithmic form — Any formula written in terms of logarithms may be said to be in logarithmic form.Logarithmic differential formsIn contexts including complex manifolds and algebraic geometry, a logarithmic differential form is a 1 form that, locally at least, can …
