A note on balancing binomial coefficients

被引：0
|
作者：
Chern, Shane [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2015年 / 91卷 / 08期
关键词：
Balancing problem; binomial coefficient; linear form in elliptic logarithms; ELLIPTIC DIOPHANTINE EQUATIONS;
D O I：
10.3792/pjaa.91.110
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 2014, T. Komatsu and L. Szalay studied the balancing binomial coefficients. In this paper, we focus on the following Diophantine equation (GRAPHICS) where y > x> 5 are integer unknowns. We prove that the only integral solution is (x, y) = (14,15). Our method is mainly based on the linear form in elliptic logarithms.
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页码：110 / 111
页数：2
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