苏州科技学院学报:自然科学版2012,Vol.29Issue(2):27-29,3.
关于不定方程σ(x3)=y2的一类求解问题
On the solution of indefinite equation σ(x3)=y2
摘要
Abstract
For any positive integer σ,let σ (α) denote the sum of divisors of a. With elementary theory of numbers methods, we have proved that the equation σ(x3)=y2 has no positive integral solution (x,y) with x=2np, where n be a positive integer,p and 23n+1-1 =q are odd primes. The conclusion of [4] has been improved and pro- moted by this result.关键词
不定方程/正整数解/正因数和/平方Key words
indefinite equation/positive integral solution/sum of divisors/square分类
数理科学引用本文复制引用
管训贵..关于不定方程σ(x3)=y2的一类求解问题[J].苏州科技学院学报:自然科学版,2012,29(2):27-29,3.基金项目
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