Journal of Integer Sequences, Vol. 8 (2005), Article 05.1.4

Generalized Number Derivatives

Michael Stay
Department of Computer Science
University of Auckland
Private Bag 92019
Auckland 1020
New Zealand

Abstract: We generalize the concept of a number derivative, and examine one particular instance of a deformed number derivative for finite field elements. We find that the derivative is linear when the deformation is a Frobenius map and go on to examine some of its basic properties.

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Received August 24 2004; revised version received January 13 2005. Published in Journal of Integer Sequences January 14 2005.

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