On some generalizations of the diophantine equation s(1k+2k + ... + xk) + r = dyn

被引：6

作者：

Rakaczki, Csaba ^{[1
,2
]}

机构：

[1] Univ Debrecen, Hungarian Acad Sci, Number Theory Res Grp, Inst Math, H-4010 Debrecen, Hungary

[2] Univ Miskolc, Inst Math, H-3515 Miskolc, Hungary

来源：

关键词：

Bernoulli polynomials; higher degree equations; ZEROS;

D O I：

10.4064/aa151-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：201 / 216

页数：16

共 6 条

[1] On the Diophantine equation 1k+2k +...+ xk = yn
Bennett, MA
Gyory, K
Pintér, A
COMPOSITIO MATHEMATICA, 2004, 140 (06) : 1417 - 1431
[2] On the equation 1k+2k + ... + xk=yn
Györy, K
Pintér, A
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2003, 62 (3-4): : 403 - 414
[3] On the Diophantine equation (x+1)k (x+2)k + . . . plus (lx)k = yn
Soydan, Gokhan
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 91 (3-4): : 369 - 382
[4] The Diophantine equation (x+1)k + (x+2)k + ... plus (lx)k = yn revisted
Bartoli, Daniele
Soydan, Gokhan
PUBLICATIONES MATHEMATICAE DEBRECEN, 2020, 96 (1-2): : 111 - 120
[5] On the number of solutions of the equation 1k+2k+•••+(x-1)k=yz
Brindza, B
Pintér, A
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2000, 56 (3-4): : 271 - 277
[6] Zeros of normalized combinations of ξ(k) (s) on Re(s)=1/2
Chaubey, Sneha
Malik, Amita
Robles, Nicolas
Zaharescu, Alexandru
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (02) : 1771 - 1785