Stay, Michael

Generalized number derivatives

J. Integer Seq. 8(1), Art. 05.1.4, 10 p., electronic only (2005)

Summary

Summary: 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. Full version: pdf, dvi, ps, latex

Mathematics Subject Classification

05A30, 11T99

Keywords/Phrases

q-calculus, number derivative, arithmetic derivative

Downloads