More variants of Erdős-selfridge superelliptic curves and their rational points

被引：0
作者：
N. Saradha
机构：
来源：
Indian Journal of Pure and Applied Mathematics | 2019年 / 50卷
关键词：
Super elliptic curves; rational solutions; ternary forms; exponential Diophantine equations;
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暂无
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学科分类号：
摘要：
Developing on the works of Bennett and Siksek and more recently of Das, Laishram and Saradha, we study rational points on several other variants of Erdős-Selfridge super elliptic curve.
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页码：333 / 342
页数：9
相关论文
共 21 条
[1]  
Balasubramanian R(1994)Squares in products from a block of consecutive integers Acta Arith. 65 213-220
[2]  
Shorey T N(2016)Rational points on Erdős-Selfridge superelliptic curves Compositio Math. 152 2249-2254
[3]  
Bennett M A(1955)On the product of consecutive integers, III Indag. Math. 17 85-90
[4]  
Siksek S(2004)Square free part of products of consecutive integers Publ. Math. Debrecen 64 79-99
[5]  
Erdős P(1996)Perfect powers in products of integers from a block of consecutive integers (II) Acta Arith. 76 191-198
[6]  
Mukhopadhyaya A(2001)Almost perfect powers in arithmetic progression Acta Arith. 99 363-388
[7]  
Shorey T N(2003)Almost squares and factorisation in consecutive integers Compositio Math. 138 113-124
[8]  
Nesterenko Yu(2007)On the equation Acta Arith. 129 1-21
[9]  
Shorey T N(2015)( Int. J. Number Theory 11 233-250
[10]  
Saradha N(1986) + Math. Proc. Camb. phil. Soc. 99 195-207
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