Research Area: Algebra & Number Theory
Reserach Profile: Algebra and Number Theory
My background is in number theory and algebra. Currently I solve functional equations; examples of these are:
f(x + y) = f(x) + f(y) (Cauchy) g(xy) + g(1/x) + g(1/y) = 0 (Kepler-Napier)
D(xy x) = xy D(x) + x D(y) x + D(x) yx (Herstein-Kaplansky)
F(x, y) + F(x + y, z) = F(x, y + z) + F(y, z) (Cocycle)
The methods I use are, in the main, algebraic: I do not consider continuity, analyticity and so on of solutions.
Algebra & Number Theory