Hardy-littlewood tuple conjecture over large finite fields

Lior Bary-Soroker*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We prove the following function field analog of the Hardy-Littlewood conjecture (which generalizes the twin prime conjecture) over large finite fields. Let n and r be positive integers and q an odd prime power. For a tuple of distinct polynomials of degree <n let π(q,n;a) be the number of monic polynomials of degree n such that f+a1,f+ar are simultaneously irreducible. We prove that as and n,r fixed.

Original languageEnglish
Pages (from-to)568-675
Number of pages108
JournalInternational Mathematics Research Notices
Issue number2
StatePublished - Oct 2014


Dive into the research topics of 'Hardy-littlewood tuple conjecture over large finite fields'. Together they form a unique fingerprint.

Cite this