Sum-products estimates with several sets and applications

Antal Balog; Kevin A. Broughan; Igor E. Shparlinski

Sum-products estimates with several sets and applications

Antal Balog, Kevin A. Broughan, Igor E. Shparlinski

School of Computing

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

Abstract

We obtain several versions of the sum-product theorem with k-fold sums and product sets. We also give several applications of these estimates.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Intergers : electronic journal of combinatorial number theory
Volume	12
Issue number	A27
Publication status	Published - 2012

Keywords

Sum-Product Estimates
Congruences
Exponential Sums

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Cite this

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title = "Sum-products estimates with several sets and applications",

abstract = "We obtain several versions of the sum-product theorem with k-fold sums and product sets. We also give several applications of these estimates.",

keywords = "Sum-Product Estimates, Congruences, Exponential Sums",

author = "Antal Balog and Broughan, {Kevin A.} and Shparlinski, {Igor E.}",

year = "2012",

language = "English",

volume = "12",

pages = "1--10",

journal = "Intergers : electronic journal of combinatorial number theory",

issn = "1553-1732",

publisher = "State University of West Georgia",

number = "A27",

}

TY - JOUR

T1 - Sum-products estimates with several sets and applications

AU - Balog, Antal

AU - Broughan, Kevin A.

AU - Shparlinski, Igor E.

PY - 2012

Y1 - 2012

N2 - We obtain several versions of the sum-product theorem with k-fold sums and product sets. We also give several applications of these estimates.

AB - We obtain several versions of the sum-product theorem with k-fold sums and product sets. We also give several applications of these estimates.

KW - Sum-Product Estimates

KW - Congruences

KW - Exponential Sums

M3 - Article

VL - 12

SP - 1

EP - 10

JO - Intergers : electronic journal of combinatorial number theory

JF - Intergers : electronic journal of combinatorial number theory

SN - 1553-1732

IS - A27

ER -

Sum-products estimates with several sets and applications

Abstract

Keywords

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