On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method

In the present paper, a new estimate for a short “inhomogeneous” Kloosterman sum modulo $$q$$ whose number of terms does not exceed $$\sqrt{q}$$ is obtained. This estimate refines the result of M. A. Korolev (2016).

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Publication Details

Journal
Mathematical Notes
Published
2024-10-01
DOI
https://doi.org/10.1134/s0001434624090128
Primary Topic
Analytic Number Theory Research
Type
article
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article

On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method

N. K. Semenova
Mathematical Notes
Analytic Number Theory Research
article

On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method

N. K. Semenova
article en

Abstract

In the present paper, a new estimate for a short “inhomogeneous” Kloosterman sum modulo $$q$$ whose number of terms does not exceed $$\sqrt{q}$$ is obtained. This estimate refines the result of M. A. Korolev (2016).

Mathematical NotesVol. 116(3-4)
Lomonosov Moscow State University (RU)
Gender equality
Openalex Percentile: Top 57%
Analytic Number Theory Research
DOISourceOpenAlex
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On Estimating an Inhomogeneous Kloosterman Sum by the Karatsuba Method — N. K. Semenova · Mathematical Notes (2024) | TGRS Research Map | TGRS