Counting irreducible binomials over finite fields

Randell Heyman; Igor E. Shparlinski

doi:10.1016/j.ffa.2015.12.001

Counting irreducible binomials over finite fields

Randell Heyman, Igor E. Shparlinski^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We consider various counting questions for irreducible binomials of the form ^Xt-a over finite fields. We use various results from analytic number theory to investigate these questions.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Finite Fields and their Applications
Volume	38
DOIs	https://doi.org/10.1016/j.ffa.2015.12.001
Publication status	Published - 1 Mar 2016
Externally published	Yes

Keywords

Finite fields
Irreducible binomials
Primes in arithmetic progressions

Access to Document

10.1016/j.ffa.2015.12.001

Fingerprint Dive into the research topics of 'Counting irreducible binomials over finite fields'. Together they form a unique fingerprint.

1 Finished

New Applications of Additive Combinatorics in Number Theory and Graph Theory
Mans, B., Shparlinski, I., MQRES, M. & PhD Contribution (ARC), P. C. (.
1/01/14 → 31/12/17
Project: Research

Cite this

@article{307a175fcd7a4245bf58eda726a33105,

title = "Counting irreducible binomials over finite fields",

abstract = "We consider various counting questions for irreducible binomials of the form Xt-a over finite fields. We use various results from analytic number theory to investigate these questions.",

keywords = "Finite fields, Irreducible binomials, Primes in arithmetic progressions",

author = "Randell Heyman and Shparlinski, {Igor E.}",

year = "2016",

month = mar,

day = "1",

doi = "10.1016/j.ffa.2015.12.001",

language = "English",

volume = "38",

pages = "1--12",

journal = "Finite Fields and their Applications",

issn = "1071-5797",

publisher = "ACADEMIC PRESS INC ELSEVIER SCIENCE",

}

TY - JOUR

T1 - Counting irreducible binomials over finite fields

AU - Heyman, Randell

AU - Shparlinski, Igor E.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - We consider various counting questions for irreducible binomials of the form Xt-a over finite fields. We use various results from analytic number theory to investigate these questions.

AB - We consider various counting questions for irreducible binomials of the form Xt-a over finite fields. We use various results from analytic number theory to investigate these questions.

KW - Finite fields

KW - Irreducible binomials

KW - Primes in arithmetic progressions

UR - http://www.scopus.com/inward/record.url?scp=84955438429&partnerID=8YFLogxK

UR - http://purl.org/au-research/grants/arc/DP140100118

U2 - 10.1016/j.ffa.2015.12.001

DO - 10.1016/j.ffa.2015.12.001

M3 - Article

AN - SCOPUS:84955438429

VL - 38

SP - 1

EP - 12

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

SN - 1071-5797

ER -

Counting irreducible binomials over finite fields

Abstract

Keywords

Access to Document

New Applications of Additive Combinatorics in Number Theory and Graph Theory

Cite this