On the equation 1k+2k + ... + xk=yn

被引：0

作者：

Györy, K ^{[1
]}

Pintér, A ^{[1
]}

机构：

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

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2003年 / 62卷 / 3-4期

关键词：

Superelliptic equations; Bernoulli polynomials;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In our paper a survey is given on the title equation. General finiteness theorems, bounds on n and the number of solutions, complete solution for small values of k, and some generalizations and analogues are presented. The basic ideas of the most important proofs are also outlined. We note that in the proofs of the recent results virtually every technique of modern Diophantine analysis has been employed.

引用

页码：403 / 414

页数：12

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