the additive polynomials are an important topic in classical algebraic number theory. Let k be a field of prime characteristic p. A polynomial P(x) with...

of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more...

P(x) is an additive polynomial. Separable polynomials occur frequently in Galois theory. For example, let P be an irreducible polynomial with integer...

Bernstein polynomial Characteristic polynomial Minimal polynomial Invariant polynomial Abel polynomials Actuarial polynomials Additive polynomials All one...

root of a polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number...

multiplication in the ring of additive polynomials is given by composition of polynomials, not by multiplication of commutative polynomials, and is not commutative...

precisely, it is a polynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial factoring, number...

additive. When the domain is the real numbers, this is Cauchy's functional equation. For a specific case of this definition, see additive polynomial....

arithmetic operations (addition, subtraction, multiplication, and division). Additive combinatorics is the special case when only the operations of addition...

b = b ⋅ a. Additive and multiplicative identity: there exist two distinct elements 0 and 1 in F such that a + 0 = a and a ⋅ 1 = a. Additive inverses: for...