5 citations · 7 across the 5 of their papers we have counts for
6 papers
Hilbertian fields and Hilbert's irreducibility theorem
Rodney Coleman, Laurent Zwald
Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article we introduce Hilbertian fields and present a clear detailed proof of Hilbert's ir…
Some properties of finite rings
Rodney Coleman
A well-known theorem of Wedderburn asserts that a finite division ring is commutative. In a division ring the group of invertible elements is as large as possible. Here we will be…
Some remarks on Euler's totient function
Rodney Coleman
The image of Euler's totient function is composed of the number 1 and even numbers. However, many even numbers are not in the image. We consider the problem of finding those even n…
On Krawtchouk polynomials
Rodney Coleman
Krawtchouk polynomials play an important role in coding theory and are also useful in graph theory and number theory. Although the basic properties of these polynomials are to some…
A detailed analysis of the brachistochrone problem
Rodney Coleman
If A and B are two points in the plane, with B lower and to the right of A, then we may consider the trajectory of an object travelling from A to B under the influence of gravity.…
On the image of Euler's totient function
Rodney Coleman
In this article we study certain properties of the image of Euler's totient function; we also consider the structure of the preimage of certain elements of the image of this functi…