Several interesting number theory problems

In this paper, we propose several interesting number theory problems related to the Legendre symbol and the two-term exponential sum. We believe that the study of these problems cannot only enrich the research content of elementary number theory, but also promote the development of analytic number theory.

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Publication Details

Journal
Scientia Sinica Mathematica
Published
2025-08-14
DOI
https://doi.org/10.1360/ssm-2025-0110
Primary Topic
Analytic Number Theory Research
Type
article
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article

Several interesting number theory problems

Wenpeng Zhang
Scientia Sinica Mathematica
Analytic Number Theory Research
article

Several interesting number theory problems

Wenpeng Zhang
article en

Abstract

In this paper, we propose several interesting number theory problems related to the Legendre symbol and the two-term exponential sum. We believe that the study of these problems cannot only enrich the research content of elementary number theory, but also promote the development of analytic number theory.

Scientia Sinica MathematicaVol. 55(10)
Openalex Percentile: Top 69%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Several interesting number theory problems — Wenpeng Zhang · Scientia Sinica Mathematica (2025) | TGRS Research Map | TGRS