Spahn
Witt polynomial (Rev #1)

category: combinatorics

Definition

Let pp be a prime number, let nn\in \mathbb{N}. Then the nn-th pp-adic Witt polynomial is defined by

w n(X):= d|ndX d n/dw_n(X):=\sum_{d|n}d X_d^{n/d}

This formula comes out of consideration of addition of Teichmüller representatives?, a multiplicative section of the natural projection AkA\to k of a discrete valuation ring to its residue field?. This section is unique if kk is perfect.

Witt polynomials are one way to define Witt vectors.

(Hazewinkel)

References

Revision on May 29, 2012 at 21:46:10 by Stephan Alexander Spahn?. See the history of this page for a list of all contributions to it.