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20052026
most citedShifted convolution and the Titchmarsh divisor problem over F_q[t]

41 citations · 180 across the 49 of their papers we have counts for

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Showing 2012Show all

4 papers · 1 filter

math.NT2012

Random Galois extensions of Hilbertian fields

Lior Bary-Soroker, Arno Fehm

Let L be a Galois extension of a countable Hilbertian field K. Although L need not be Hilbertian, we prove that an abundance of large Galois subextensions of L/K are.

math.NT2012

Hardy-Littlewood tuple conjecture over large finite field

Lior Bary-Soroker

We prove the following function field analog of the Hardy-Littlewood conjecture (which generalizes the twin prime conjecture) over large finite fields. Let n,r be positive integers…

math.NT2012

On the Bateman-Horm Conjecture about Polynomial Rings

Lior Bary-Soroker, Moshe Jarden

Given a power of a prime number and "nice" polynomials $f_1,...,f_r\in\bbF_q[T,X]$ with if , we establish an asymptotic formula for the number of pairs $(a_1,a_2…

math.NT2012

Hilbertian fields and Galois representations

Lior Bary-Soroker, Arno Fehm, Gabor Wiese

We prove a new Hilbertianity criterion for fields in towers whose steps are Galois with Galois group either abelian or a product of finite simple groups. We then apply this criteri…