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math.AG2013
On varieties of Hilbert type
Lior Bary-Soroker, Arno Fehm, Sebastian Petersen
A variety X over a field K is of Hilbert type if the set of rational points X(K) is not thin. We prove that if f: X\to S is a dominant morphism of K-varieties and both S and all fi…
math.NT2013★ 37 cited
Prime polynomials in short intervals and in arithmetic progressions
Efrat Bank, Lior Bary-Soroker, Lior Rosenzweig
In this paper we establish function field versions of two classical conjectures on prime numbers. The first says that the number of primes in intervals (x,x+x^epsilon] is about x^e…