Squarefree parts of discriminants of trinomials

Igor E. Shparlinski

doi:10.1007/s00013-014-0654-0

Squarefree parts of discriminants of trinomials

Igor E. Shparlinski

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

2 Citations (Scopus)

Abstract

We obtain a lower bound on the number of distinct squarefree parts of the discriminants nⁿ+(-1)ⁿ(n-1)^n-1 of trinomials Xⁿ-X-1∈ℤ[X] for 1 ≤ n ≤ N.

Original language	English
Pages (from-to)	545-554
Number of pages	10
Journal	Archiv der Mathematik
Volume	102
Issue number	6
DOIs	https://doi.org/10.1007/s00013-014-0654-0
Publication status	Published - Jun 2014
Externally published	Yes

Keywords

Discriminant
Square sieve
Squarefree part
Trinomial

Access to Document

10.1007/s00013-014-0654-0

Cite this

@article{6ec9c849c7224c22a84918af8d417e3f,

title = "Squarefree parts of discriminants of trinomials",

abstract = "We obtain a lower bound on the number of distinct squarefree parts of the discriminants nn+(-1)n(n-1)n-1 of trinomials Xn-X-1∈ℤ[X] for 1 ≤ n ≤ N.",

keywords = "Discriminant, Square sieve, Squarefree part, Trinomial",

author = "Shparlinski, {Igor E.}",

year = "2014",

month = jun,

doi = "10.1007/s00013-014-0654-0",

language = "English",

volume = "102",

pages = "545--554",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Birkhauser Verlag Basel",

number = "6",

}

TY - JOUR

T1 - Squarefree parts of discriminants of trinomials

AU - Shparlinski, Igor E.

PY - 2014/6

Y1 - 2014/6

N2 - We obtain a lower bound on the number of distinct squarefree parts of the discriminants nn+(-1)n(n-1)n-1 of trinomials Xn-X-1∈ℤ[X] for 1 ≤ n ≤ N.

AB - We obtain a lower bound on the number of distinct squarefree parts of the discriminants nn+(-1)n(n-1)n-1 of trinomials Xn-X-1∈ℤ[X] for 1 ≤ n ≤ N.

KW - Discriminant

KW - Square sieve

KW - Squarefree part

KW - Trinomial

UR - http://www.scopus.com/inward/record.url?scp=84903884801&partnerID=8YFLogxK

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

U2 - 10.1007/s00013-014-0654-0

DO - 10.1007/s00013-014-0654-0

M3 - Article

AN - SCOPUS:84903884801

SN - 0003-889X

VL - 102

SP - 545

EP - 554

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Squarefree parts of discriminants of trinomials

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

New Applications of Additive Combinatorics in Number Theory and Graph Theory

Cite this

Squarefree parts of discriminants of trinomials

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

New Applications of Additive Combinatorics in Number Theory and Graph Theory

Cite this