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HERON TRIANGLES WITH FIGURATE NUMBER SIDES

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成果类型:
期刊论文
作者:
Peng, J.;Zhang, Y.*
通讯作者:
Zhang, Y.
作者机构:
[Peng, J.; Zhang, Y.] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Zhang, Y.] C
Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
语种:
英文
关键词:
Heron triangle;figurate number;polygonal number;binomial coefficient;Pellian equation
期刊:
Acta Mathematica Hungarica
ISSN:
0236-5294
年:
2019
卷:
157
期:
2
页码:
478-488
基金类别:
∗Corresponding author. This research was supported by the National Natural Science Foundation of China (Grant No. 11501052). Key words and phrases: Heron triangle, figurate number, polygonal number, binomial coefficient, Pellian equation. Mathematics Subject Classification: primary 51M25, secondary 11D72.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
By the theory of Pellian equation and the method of undetermined coefficients, we show that there exist infinitely many isosceles Heron triangles whose sides are polygonal numb...

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