Prime polynomial values of linear functions in short intervals

Autor:	Bank, Efrat, Bary-Soroker, Lior
Rok vydání:	2014
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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 values of $n$ linear functions, in the limit of a large finite field.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1410.1283 Zobrazit plný text záznamu View this record from Arxiv