From the contents: Primes in Arithmetic Progression.- Gauss' Sum.- Cyclotomy.- Primes in Arithmetic Progression: The General Modulus.- Primitive Characters.- Dirichlet's Class Number Formula.- The… Expand

It was proved in a recent paper that if α is any algebraic number, not rational, then for any ζ > 0 the inequality has only a finite number of solutions in relatively prime integers h, q . Our main… Expand

1. It is often desirable to be able to approximate to the number of points with integral coordinates in a closed bounded region R in n dimensional space by means of the volume V(K) of ft. The… Expand

An investigation into conditions under which an equation of the form c1xk1 + ... + csxks = 0 will have solutions in which x1 ..., xs are integers (not all 0).