Publication:

Some additive combinatorics problems in matrix rings

Date

Date

Date
2010
Journal Article
Published version

Citations

Citation copied

Ferguson, R., Hoffman, C., Luca, F., Ostafe, A., & Shparlinski, I. E. (2010). Some additive combinatorics problems in matrix rings. Revista Matematica Complutense, 23(2), 501–513. https://doi.org/10.1007/s13163-010-0029-4

Abstract

Abstract

Abstract

We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite fields. We apply these results to estimate the largest prime divisor of the determinants in sumsets in matrix rings over the integers.

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3 since deposited on 2010-08-16
Acq. date: 2025-11-12

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1 since deposited on 2010-08-16
Acq. date: 2025-11-12

Additional indexing

Creators (Authors)

  • Ferguson, R
    affiliation.icon.alt
  • Hoffman, C
    affiliation.icon.alt
  • Luca, F
    affiliation.icon.alt
  • Ostafe, A
    affiliation.icon.alt
  • Shparlinski, I E
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
23

Number

Number

Number
2

Page range/Item number

Page range/Item number

Page range/Item number
501

Page end

Page end

Page end
513

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Language

Language

Language
English

Publication date

Publication date

Publication date
2010-07

Date available

Date available

Date available
2010-08-16

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
1139-1138

Additional Information

Additional Information

Additional Information
The original publication is available at www.springerlink.com

OA Status

OA Status

OA Status
Green

Other Identification Number

Other Identification Number

Other Identification Number
arXiv:0902.3482v2

Related URLs

Related URLs

Related URLs

Metrics

Downloads

3 since deposited on 2010-08-16
Acq. date: 2025-11-12

Views

1 since deposited on 2010-08-16
Acq. date: 2025-11-12

Citations

Citation copied

Ferguson, R., Hoffman, C., Luca, F., Ostafe, A., & Shparlinski, I. E. (2010). Some additive combinatorics problems in matrix rings. Revista Matematica Complutense, 23(2), 501–513. https://doi.org/10.1007/s13163-010-0029-4

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Files
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