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math.NT2015
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…
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 …