On the number of solutions of the equation 1k+2k+•••+(x-1)k=yz

被引：0

作者：

Brindza, B ^{[1
]}

Pintér, A ^{[1
]}

机构：

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

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2000年 / 56卷 / 3-4期

关键词：

Bernoulli polynomials; counting solutions of diophantine equations; sum of powers;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：271 / 277

页数：7

共 17 条

[1] Bennett MA, 1999, ACTA ARITH, V88, P363
[2] BENNETT MA, KUNPUB RATIONAL APPR
[3] ON SOME GENERALIZATIONS OF THE DIOPHANTINE EQUATION
BRINDZA, B
[J]. ACTA ARITHMETICA, 1984, 44 (02) : 99 - 107
[4] BRINDZA B, 1990, C MATH SOC JANOS BOL, V51, P595
[5] DILCHER K, 1986, COMPOS MATH, V57, P383
[6] UNIFORM BOUNDS FOR THE NUMBER OF SOLUTIONS TO YN=F(X)
EVERTSE, JH
SILVERMAN, JH
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 100 : 237 - 248
[7] GYORY K, 1980, ACTA ARITH, V37, P234
[8] KANO H, 1990, TOKYO J MATH, V13, P441
[9] Keng H. L., 1982, INTRO NUMBER THEORY, P276
[10] A note on the equation 1(k)+2(k)+center dot center dot center dot+(x-1)(k)=y(m)
Pinter, A
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1997, 8 (01): : 119 - 123