Bases for integer-valued polynomials in a Galois field
نویسندگان
چکیده
منابع مشابه
Integer-Valued Polynomials: Looking for Regular Bases (a Survey)
This paper reviews recent results about the additive structure of algebras of integer-valued polynomials, and particularly, the question of the existence and the construction of regular bases. Doing this, we will be led to consider questions of combinatorial, arithmetical, algebraic, ultrametric or dynamical nature. 2010 MSC. Primary 13F20; Secondary 11S05, 11R21, 11B65
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( ) [ ] [ ] ( ) 1 2 0 0 1 0 0 1 2 0 1 1 0 2 n m n m a b a b a b x a b a b a b x a b x + = ⋅ + ⋅ + ⋅ + ⋅ + ⋅ + ⋅ + + ⋅ . The coefficient operations are performed using the operations for the field from which the coefficients were taken. • Such a collection of polynomials forms a commutative ring with identity. • Nonzero field elements are considered to be zero-degree polynomials. The zero elemen...
متن کاملInteger-valued Polynomials on Algebras a Survey
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1998
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-87-1-13-26