@article{7d6c88d66c834183b982200a63cecfdd,
title = "Prime polynomial values of linear functions in short intervals",
abstract = "In this paper we establish a function field analogue of a conjecture in number theory which is a combination of several famous conjectures, including the Hardy-Littlewood prime tuple conjecture, conjectures on the number of primes in arithmetic progressions and in short intervals, and the Goldbach conjecture. We prove an asymptotic formula for the number of simultaneous prime polynomial values of n linear functions, in the limit of a large finite field.",
keywords = "Function fields, Polynomials, Prime Number Theorem, Primes",
author = "Efrat Bank and Lior Bary-Soroker",
note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",
year = "2015",
month = jun,
day = "1",
doi = "10.1016/j.jnt.2014.12.016",
language = "אנגלית",
volume = "151",
pages = "263--275",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Academic Press Inc.",
}