Geodesic
Generalized number derivatives
Journal of integer sequences, Tome 8 (2005) no. 1
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
Classification : 05A30, 11T99
Keywords: q-calculus, number derivative, arithmetic derivative 
@article{JIS_2005__8_1_a3,
     author = {Stay,  Michael},
     title = {Generalized number derivatives},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {1},
     zbl = {1065.05019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a3/}
}
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Stay,  Michael. Generalized number derivatives. Journal of integer sequences, Tome 8 (2005) no. 1. http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a3/