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

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

Other files and links

Fingerprint

New Applications of Additive Combinatorics in Number Theory and Graph Theory

Cite this

Counting irreducible binomials over finite fields

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

New Applications of Additive Combinatorics in Number Theory and Graph Theory

Cite this