# Linearised polynomial

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2010 Mathematics Subject Classification: Primary: 12E10 [MSN][ZBL]

additive polynomial

A polynomial over a field of characteristic $p \ne 0$ in which all monomials have exponents which are powers of $p$: $$L(X) = \sum_{i=0}^d a_i X^{p^i} \ .$$ Such polynomials are additive: $L(x+y) = L(x) + L(y)$.

How to Cite This Entry:
Additive polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Additive_polynomial&oldid=36030