In mathematics, the Conway polynomial Cp,n for the finite field Fpn is a particular irreducible polynomial of degree n over Fp that can be used to define...

mathematics, Conway polynomial can refer to: the Alexander–Conway polynomial in knot theory the Conway polynomial (finite fields) the polynomial of degree...

{F} _{q^{m}}.} Such a construction may be obtained by Conway polynomials. Although finite fields are not algebraically closed, they are quasi-algebraically...

1960s, John Conway came up with a skein relation for a version of the Alexander polynomial, usually referred to as the Alexander–Conway polynomial. The significance...

the first knot polynomial, in 1923. In 1969, John Conway showed a version of this polynomial, now called the Alexander–Conway polynomial, could be computed...

Most cryptographic protocols rely on finite fields, i.e., fields with finitely many elements. The theory of fields proves that angle trisection and squaring...

polynomial (finite fields) – an irreducible polynomial used in finite field theory Conway puzzle – a packing problem invented by Conway using rectangular...

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. Specifically, it is an invariant...

John Horton Conway FRS (26 December 1937 – 11 April 2020) was an English mathematician. He was active in the theory of finite groups, knot theory, number...

name of the award honours the Canadian mathematician John Charles Fields. The Fields Medal is regarded as one of the highest honors a mathematician can...

classification of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is either...

the mathematical field of knot theory, the HOMFLY polynomial or HOMFLYPT polynomial, sometimes called the generalized Jones polynomial, is a 2-variable...

divides m. The field F is countable and is the union of all these finite fields. Conway realized that F can be identified with the ordinal number ω ω ω...

proof of the Carlitz–Wan conjecture on exceptional polynomials: an elementary version". Finite Fields and Their Applications. 1 (3): 372–375. doi:10.1006/ffta...

polynomial, and the Kauffman polynomial. A variant of the Alexander polynomial, the Alexander–Conway polynomial, is a polynomial in the variable z with integer...

and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available...

particularly in the field of complex analysis, the Hadamard factorization theorem asserts that every entire function with finite order can be represented...

finite number of points removed, and furthermore, Tg generates the field of meromorphic functions on this sphere. Based on their computations, Conway...

mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, 4 x 2 + 2 x y...

field is called p-adic complex numbers. The fields R , {\displaystyle \mathbb {R} ,} Q p , {\displaystyle \mathbb {Q} _{p},} and their finite field extensions...

developed out of several fields of mathematics. The original motivation for group theory was the quest for solutions of polynomial equations of degree higher...

needed] It is clear that any finite set { c n } {\displaystyle \{c_{n}\}} of points in the complex plane has an associated polynomial p ( z ) = ∏ n ( z − c n...

form a subfield of the field of algebraic numbers, and include the quadratic surds. Algebraic integer: A root of a monic polynomial with integer coefficients...

are therefore not algebraic and admit no faithful finite-dimensional representations. Over finite fields, the Lang–Steinberg theorem implies that H1(k, E7)...

Zbl 1088.68117. Droste & Kuich (2009), p. 15, Theorem 3.4 Conway, J.H. (1971). Regular algebra and finite machines. London: Chapman and Hall. ISBN 0-412-10620-5...

and Laguerre polynomials as well as Chebyshev polynomials, Jacobi polynomials and Hermite polynomials. All of these actually appear in physical problems...

Waerden's theorem Hales–Jewett theorem Umbral calculus, binomial type polynomial sequences Combinatorial species Algebraic combinatorics Analytic combinatorics...

no field GF(2k) with k not a power of 2 is contained in any of those fields, and therefore not in their direct limit; for instance the polynomial x3 +...

theorem, was published by in 1997. Vaughan Jones originally defined his polynomial as a braid invariant and then showed that it depended only on the class...

in F. Since the field of constructible points is closed under square roots, it contains all points that can be obtained by a finite sequence of quadratic...