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Integer-valued polynomial

In mathematics, an integer-valued polynomial (also known as a numerical polynomial) P ( t ) {\displaystyle P(t)} is a polynomial whose value P ( n ) {\displaystyle P(n)} is an integer for every integer n. Every polynomial with integer coefficients is integer-valued, but the converse is not true. For example, the polynomial

Applications, Classification & Algebraic topology

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Classification

Fixed prime divisors

Applications

Algebra

Algebraic topology

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Integer-valued polynomial

Nodes43
Edges42
Triples37
Avg. degree1.95
Density0.046512
Components1

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Integer-valued polynomial

Top relations

related to Algebra · 18
Integer-valued polynomial → American Mathematical Society, BF03014836, Cahen, Chabert, Funktionen, George, German, Integer-valued, ISSN, Jean-Luc, JFM, Mathematical Surveys, Monographs, MR, Palermo Rend, Paul-Jean, Providence, RI
related to Fixed prime divisors · 12
Integer-valued polynomial → Bateman, Bunyakovsky's, By, For, Horn, In, Integer-valued, P/2, Schinzel's, So Bunyakovsky's, Those, Viktor Bunyakovsky
related to Classification · 6
Integer-valued polynomial → GeorgePólya, In, Inside, It, Taylor, The
related to Other rings · 1
Integer-valued polynomial → Numerical

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polynomial integer-valued polynomials coefficients integer displaystyle binomial every fixed mr numerical number values algebra mathematical example even takes doi prime

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SubjectPredicateObjectConfidenceSrc
Integer-valued polynomialrelated to AlgebraCahen0.60section
Integer-valued polynomialrelated to AlgebraPaul-Jean0.60section
Integer-valued polynomialrelated to AlgebraChabert0.60section
Integer-valued polynomialrelated to AlgebraJean-Luc0.60section
Integer-valued polynomialrelated to AlgebraInteger-valued0.60section
Integer-valued polynomialrelated to AlgebraMathematical Surveys0.60section
Integer-valued polynomialrelated to AlgebraMonographs0.60section
Integer-valued polynomialrelated to AlgebraProvidence0.60section
Integer-valued polynomialrelated to AlgebraRI0.60section
Integer-valued polynomialrelated to AlgebraAmerican Mathematical Society0.60section
Integer-valued polynomialrelated to AlgebraMR0.60section
Integer-valued polynomialrelated to AlgebraGeorge0.60section

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