# Linearised polynomial

From Encyclopedia of Mathematics

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:**

Linearised polynomial.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Linearised_polynomial&oldid=36029