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math.NT2018
On locally repeated values of arithmetic functions over
Ze'ev Rudnick
The frequency of occurrence of "locally repeated" values of arithmetic functions is a common theme in analytic number theory, for instance in the Erdős-Mirsky problem on coincidenc…
math.NT2018
Prime lattice points in ovals
Bingrong Huang, Zeév Rudnick
We study the distribution of lattice points with prime coordinates lying in the dilate of a convex planar domain having smooth boundary, with nowhere vanishing curvature. Counting…