On arithmetic functions of balancing and Lucas-balancing numbers

被引：0

作者：

Dutta, Utkal Keshari ^{[1
]}

Ray, Prasanta Kumar ^{[1
]}

机构：

[1] Sambalpur Univ, Dept Math, Sambalpur 768019, Odisha, India

来源：

MATHEMATICAL COMMUNICATIONS | 2019年 / 24卷 / 01期

关键词：

Euler phi function; divisor function; balancing numbers; Lucas-balancing numbers;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any integers n >= 1 and k >= 0, let phi(n) and sigma(k)(n) denote the Euler phi function and the sum of the k-th powers of the divisors of n, respectively. In this article, the solutions to some Diophantine equations about these functions of balancing and Lucas-balancing numbers are discussed.

引用

下载

页码：77 / 81

页数：5

共 50 条

[21] Tridiagonal matrices related to subsequences of balancing and Lucas-balancing numbers
Ray, Prasanta K.
Panda, Gopal K.
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2015, 21 (03) : 56 - 63
[22] On the Periodicity of Lucas-Balancing Numbers and p-adic Order of Balancing Numbers
Takao Komatsu
Bijan Kumar Patel
Prasanta Kumar Ray
Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 557 - 562
[23] On the properties of Lucas-balancing numbers by matrix method
Ray, Prasanta K.
SIGMAE, 2014, 3 (01): : 1 - 6
[24] On the Periodicity of Lucas-Balancing Numbers and p-adic Order of Balancing Numbers
Komatsu, Takao
Patel, Bijan Kumar
Ray, Prasanta Kumar
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (02): : 557 - 562
[25] Relating Balancing Polynomials to Lucas-Balancing Polynomials via Bernoulli Numbers
Goubi, Mouloud
JOURNAL OF INTEGER SEQUENCES, 2020, 23 (04)
[26] Sum formulas involving powers of balancing and Lucas-balancing numbers - II
Rayaguru, S. G.
Panda, G. K.
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2019, 25 (03) : 102 - 110
[27] A note on k-tridiagonal matrices with the balancing and Lucas-balancing numbers
Yilmaz, Fatih
Kirklar, Emrullah
ARS COMBINATORIA, 2015, 120 : 283 - 291
[28] On k-Fibonacci numbers expressible as product of two Balancing or Lucas-Balancing numbers
Rihane, Salah Eddine
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
[29] ON THE NORMS OF R-CIRCULANT MATRICES INVOLVING BALANCING AND LUCAS-BALANCING NUMBERS
Prasad, Kalika
Kumari, Munesh
Mahato, Hrishikesh
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (02): : 672 - 682
[30] BINOMIAL TRANSFORMS OF THE BALANCING AND LUCAS-BALANCING POLYNOMIALS
Yilmaz, Nazmiye
CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2020, 15 (03) : 133 - 144

← 1 2 3 4 5 →