双曲超曲面与费马型函数方程

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  • 1. School of Mathematics and Computer, Xinyu University, Xinyu 338000, China; 2. School of Mathematical Sciences, Beijing University of Posts and Telecommunications, Beijing 102206, China
TAO Si-jun (1980-), male, native of Jinxian, Jiangxi, associate professor of Xinyu University, engages in applied mathematics; XIE Li-bing (1994-), male, native of Xinyu, Jiangxi, lecturer of Xinyu University and doctoral student of Beijing University of Posts and Telecommunications, engages in complex analysis; CHEN Yu-xian (1968-), male, native of Yongxin, Jiangxi, professor of Xinyu University, engages in complex analysis.
XIE Li-bing (1994-), male, native of Xinyu, Jiangxi, lecturer of Xinyu University and doctoral student of Beijing University of Posts and Telecommunications, engages in complex analysis;

收稿日期: 2025-06-05

  网络出版日期: 2025-12-30

基金资助

Supported by the National Natural Foundation of China (Grant No. 12361028) and the Foundation of Education Department of Jiangxi (Grant Nos. GJJ212305 and GJJ2202228).

Hyperbolic Hypersurfaces and Fermat Type Functional Equation#br#

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  • 1. School of Mathematics and Computer, Xinyu University, Xinyu 338000, China; 2. School of Mathematical Sciences, Beijing University of Posts and Telecommunications, Beijing 102206, China
TAO Si-jun (1980-), male, native of Jinxian, Jiangxi, associate professor of Xinyu University, engages in applied mathematics; XIE Li-bing (1994-), male, native of Xinyu, Jiangxi, lecturer of Xinyu University and doctoral student of Beijing University of Posts and Telecommunications, engages in complex analysis; CHEN Yu-xian (1968-), male, native of Yongxin, Jiangxi, professor of Xinyu University, engages in complex analysis.
XIE Li-bing (1994-), male, native of Xinyu, Jiangxi, lecturer of Xinyu University and doctoral student of Beijing University of Posts and Telecommunications, engages in complex analysis;

Received date: 2025-06-05

  Online published: 2025-12-30

Supported by

Supported by the National Natural Foundation of China (Grant No. 12361028) and the Foundation of Education Department of Jiangxi (Grant Nos. GJJ212305 and GJJ2202228).

摘要

In this paper, we construct new examples of hyperbolic metasurfaces in CP3 and CP4, and discusses the existence of solutions for a class of Fermat type functional equations.

本文引用格式

陶思俊, 谢利兵, 陈裕先 . 双曲超曲面与费马型函数方程[J]. 数学季刊, 2025 , 40(4) : 408 -416 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.007

Abstract

In this paper, we construct new examples of hyperbolic metasurfaces in CP3 and CP4, and discusses the existence of solutions for a class of Fermat type functional equations.
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