|Journal of Integer Sequences, Vol. 8 (2005), Article 05.1.4|
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.
Received August 24 2004; revised version received January 13 2005. Published in Journal of Integer Sequences January 14 2005.