180 citations · 357 across the 58 of their papers we have counts for
4 papers · 2 filters
On the largest prime factor of the Mersenne numbers
Kevin Ford, Florian Luca, Igor E. Shparlinski
Let P(k) be the largest prime factor of the positive integer k. In this paper, we prove that the series is convergent for each constant a…
Generalized Smirnov statistics and the distribution of prime factors
Kevin Ford
We apply recent bounds of the author (math.PR/0609224) for generalized Smirnov statistics to the distribution of integers whose prime factors satisfy certain systems of inequalitie…
Divisors of the Euler and Carmichael functions
Kevin Ford, Yong Hu
We study the distribution of divisors of Euler's totient function and Carmichael's function. In particular, we estimate how often the values of these functions have "dense" divisor…
Generalized Euler constants
Harold G. Diamond, Kevin Ford
We define a family {} of generalized Euler constants indexed by finite sets of primes and study their distribution. These arise from partial sums of reciprocals of intege…