Full powers in arithmetic progressions

被引：0

作者：

Pink, I ^{[1
]}

Tengely, S ^{[1
]}

机构：

[1] Univ Debrecen, Inst Math & Informat, H-4010 Debrecen, Hungary

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2000年 / 57卷 / 3-4期

关键词：

exponential diophantine equation; full powers; arithmetic progression;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For given positive integers a and n, we consider the three-term arithmetic progressions a(2), y(n), x(2), where x and y are unknown integers. We give explicit upper bounds both for the number of such arithmetic progressions and for max{\x\, \y\}. Moreover, we find all such progressions with 1 less than or equal to a less than or equal to 1000, and 3 < n < 80.

引用

页码：535 / 545

页数：11

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