A Probabilistic Look At 1k+2k + MIDLINE HORIZONTAL ELLIPSIS plus nk

被引：0

作者：

Farhadian, Reza ^{[1
]}

机构：

[1] Razi Univ, Dept Stat, Kermanshah, Iran

来源：

RESONANCE-JOURNAL OF SCIENCE EDUCATION | 2023年 / 28卷 / 03期

关键词：

Sum of powers; probabilistic proof; positive integers; SUMS; POWERS;

D O I：

10.1007/s12045-023-1568-6

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

In this note, we aim to provide a probabilistic method to obtain closed-form formulae for sums of powers of the first n positive integers.

引用

页码：479 / 482

页数：4

共 50 条

[21] 关于同余式nkσk（n）≡2(modψk（n）)
吴元鸿
天津师大学报(自然科学版), 1994, (02) : 23 - 25
[22] Higher syzygies on general polarized Abelian varieties of type (1,MIDLINE HORIZONTAL ELLIPSIS,1,d)$(1,\dots,1,d)$
Ito, Atsushi
MATHEMATISCHE NACHRICHTEN, 2023, 296 (08) : 3395 - 3410
[23] 级数（1k+2k+3k+4k+…+nk）(k∈z+)的和的两种求法
卢自娟
高爱民
新疆师范大学学报(自然科学版), 2009, 28 (04) : 99 - 103
[24] k-generalized Fibonacci numbers of the form 1+2n1+4n2 + ... + (2k)nk
Gomez Ruiz, Carlos Alexis
Luca, Florian
MATHEMATICAL COMMUNICATIONS, 2014, 19 (02) : 321 - 332
[25] 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
[26] 关于1k+2k+…+nk求和的三种方法
胡国胜
张国红
数学的实践与认识, 2004, (01) : 164 - 167
[27] The maximum rank of 2 x MIDLINE HORIZONTAL ELLIPSIS x 2 tensors over F&xdd3d;2
Stavrou, Stavros Georgios
Low, Richard M.
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (03): : 394 - 402
[28] Coloring of the Square of Kneser Graph K (2k plus r, k)
Kim, Seog-Jin
Park, Boram
GRAPHS AND COMBINATORICS, 2016, 32 (04) : 1461 - 1472
[29] Lattice-theoretic characterizations of the group classes nk-1u and nk for k ≥ 2
Schmidt, Roland
ARCHIV DER MATHEMATIK, 2011, 96 (01) : 31 - 37
[30] A Matrix Model for νk1k2 = k1+k2/k1k2 Fractional Quantum Hall States
Jellal, A.
Saidi, E. H.
Geyer, H. B.
Roemer, R. A.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72

← 1 2 3 4 5 →