Distribution of polynomial discriminants modulo a prime

Igor E. Shparlinski

doi:10.1007/s00013-015-0806-x

Distribution of polynomial discriminants modulo a prime

Igor E. Shparlinski^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields. We use these bounds to study the distribution of discriminants modulo a prime p.

Original language	English
Pages (from-to)	251-259
Number of pages	9
Journal	Archiv der Mathematik
Volume	105
Issue number	3
DOIs	https://doi.org/10.1007/s00013-015-0806-x
Publication status	Published - Sept 2015
Externally published	Yes

Keywords

11T06
11T23
Discriminant
Character sums

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10.1007/s00013-015-0806-x

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title = "Distribution of polynomial discriminants modulo a prime",

abstract = "We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields. We use these bounds to study the distribution of discriminants modulo a prime p.",

keywords = "11T06, 11T23, Discriminant, Character sums",

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

year = "2015",

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doi = "10.1007/s00013-015-0806-x",

language = "English",

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journal = "Archiv der Mathematik",

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AB - We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields. We use these bounds to study the distribution of discriminants modulo a prime p.

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KW - 11T23

KW - Discriminant

KW - Character sums

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DO - 10.1007/s00013-015-0806-x

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VL - 105

SP - 251

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 3

ER -

Distribution of polynomial discriminants modulo a prime

Abstract

Keywords

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