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

3 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

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10.1007/s00013-014-0654-0

Cite this

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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",

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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

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DO - 10.1007/s00013-014-0654-0

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EP - 554

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Squarefree parts of discriminants of trinomials

Abstract

Keywords

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New Applications of Additive Combinatorics in Number Theory and Graph Theory

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Squarefree parts of discriminants of trinomials

Abstract

Keywords

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New Applications of Additive Combinatorics in Number Theory and Graph Theory

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