26 citations · 124 across the 47 of their papers we have counts for
4 papers · 1 filter
The Symmetric Subset Problem in Continuous Ramsey Theory
Greg Martin, Kevin O'Bryant
A symmetric subset of the reals is one that remains invariant under some reflection z --> c-z. We consider, for any 0 < x <= 1, the largest real number D(x) such that every subset…
Prime Number Races
Andrew Granville, Greg Martin
This is a survey article on prime number races. Chebyshev noticed in the first half of the nineteenth century that for any given value of x, there always seem to be more primes of…
Constructions of Generalized Sidon Sets
Greg Martin, Kevin O'Bryant
We give explicit constructions of sets S with the property that for each integer k, there are at most g solutions to k=s_1+s_2, s_i\in S; such sets are called Sidon sets if g=2 and…
The iterated Carmichael λ-function and the number of cycles of the power generator
Greg Martin, Carl Pomerance
Iteration of the modular l-th power function f(x) = x^l (mod n) provides a common pseudorandom number generator (known as the Blum-Blum-Shub generator when l=2). The period of this…