34 citations · 46 across the 3 of their papers we have counts for
4 papers
Arithmetic correlations over large finite fields
J. P. Keating, E. Roditty-Gershon
The auto-correlations of arithmetic functions, such as the von Mangoldt function, the Möbius function and the divisor function, are the subject of classical problems in analytic nu…
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 …
Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field
Julio C. Andrade, Jonathan P. Keating
The first and second moments are established for the family of quadratic Dirichlet --functions over the rational function field at the central point where the c…
The variance of the number of prime polynomials in short intervals and in residue classes
J. P. Keating, Z. Rudnick
We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (…