Sums of multidimensional Kloosterman sums

Abstract We obtain a new bound on certain multiple sums with multidimensional Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums in very small families.

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Publication Details

Journal
Periodica Mathematica Hungarica
Published
2024-08-12
DOI
https://doi.org/10.1007/s10998-024-00606-0
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Sums of multidimensional Kloosterman sums

Igor E. Shparlinski
Periodica Mathematica Hungarica
Analytic Number Theory Research
article

Sums of multidimensional Kloosterman sums

Igor E. Shparlinski
article en

Abstract

Abstract We obtain a new bound on certain multiple sums with multidimensional Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums in very small families.

Periodica Mathematica HungaricaVol. 90(1)
UNSW Sydney (AU)
University of New South Wales
Openalex Percentile: Top 75%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Sums of multidimensional Kloosterman sums — Igor E. Shparlinski · Periodica Mathematica Hungarica (2024) | TGRS Research Map | TGRS