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

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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.",

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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 - https://www.scopus.com/pages/publications/84955438429

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

SN - 1071-5797

VL - 38

SP - 1

EP - 12

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

ER -

Counting irreducible binomials over finite fields

Abstract

Keywords

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New Applications of Additive Combinatorics in Number Theory and Graph Theory

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Counting irreducible binomials over finite fields

Abstract

Keywords

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New Applications of Additive Combinatorics in Number Theory and Graph Theory

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