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math.NT2020★ 1 cited
Uniform estimates for almost primes over finite fields
Dor Elboim, Ofir Gorodetsky
We establish a new asymptotic formula for the number of polynomials of degree with prime factors over a finite field . The error term tends to uniformly i…
math.NT2019★ 2 cited
Multiplicative arithmetic functions and the generalized Ewens measure
Dor Elboim, Ofir Gorodetsky
Random integers, sampled uniformly from , share similarities with random permutations, sampled uniformly from . These similarities include the Erdős--Kac theorem on the…