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math.NT2024
Large prime factors of well-distributed sequences
Abhishek Bharadwaj, Brad Rodgers
We study the distribution of large prime factors of a random element of arithmetic sequences satisfying simple regularity and equidistribution properties. We show that if such…
math.NT2023★ 1 cited
On convergence of points to limiting processes, with an application to zeta zeros
Juan Arias de Reyna, Brad Rodgers
This paper considers sequences of points on the real line which have been randomly translated, and provides conditions under which various notions of convergence to a limiting poin…
math.NT2015★ 34 cited
Sums of divisor functions in and matrix integrals
Jon Keating, Brad Rodgers, Edva Roditty-Gershon +1
We study the mean square of sums of the th divisor function over short intervals and arithmetic progressions for the rational function field over a finite field of …