108 citations · 814 across the 70 of their papers we have counts for
6 papers · 1 filter
Gap Distributions in Circle Packings
Zeev Rudnick, Xin Zhang
We determine the distribution of nearest neighbour spacings between the tangencies to a fixed circle in a class of circle packings generated by reflections. We use a combination of…
Small scale equidistribution of eigenfunctions on the torus
Stephen Lester, Zeév Rudnick
We study the small scale distribution of the mass of eigenfunctions of the Laplacian on the flat torus . Given an orthonormal basis of eigenfunctions, we show th…
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 …
Squarefree polynomials and Mobius values in short intervals and arithmetic progressions
J. P. Keating, Z. Rudnick
We calculate the mean and variance of sums of the Möbius function and the indicator function of the squarefrees, in both short intervals and arithmetic progressions, in the context…
Some problems in analytic number theory for polynomials over a finite field
Zeev Rudnick
The lecture, given at the ICM 2014 in Seoul, explores several problems of analytic number theory in the context of function fields over a finite field, where they can be approached…
Nodal intersections for random waves on the 3-dimensional torus
Zeev Rudnick, Igor Wigman, Nadav Yesha
We investigate the number of nodal intersections of random Gaussian Laplace eigenfunctions on the standard three-dimensional flat torus with a fixed smooth reference curve, which h…