On the equation x(x+d)...(x+(k-1)d)=by2

被引：4
作者：
Brindza, B
Hajdu, L
Ruzsa, IZ
机构：
[1] Univ Debrecen, Inst Math & Informat, H-4010 Debrecen, Hungary
[2] Hungarian Acad Sci, Alfred Renyi Inst Math, H-1364 Budapest, Hungary
来源：
GLASGOW MATHEMATICAL JOURNAL | 2000年 / 42卷
关键词：
D O I：
10.1017/S0017089500020115
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give a new bound for the solutions x of the title equation, provided that k greater than or equal to 8. This bound is polynomial in d. Moreover, under the same condition, a similar bound for the number of solutions in (x, k, y, l) is given.
引用
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页码：255 / 261
页数：7
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