Volume 27, 2021 – Author Index

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A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

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Adegbindin, Chefiath Awero

• 27/2  Generalized Lucas numbers of the form 3 × 2^m

Adegoke, Kunle

• 27/2 Partial sum of the products of the Horadam numbers with subscripts in arithmetic progression
• 27/3 Fibonacci series from power series
• 27/4 Fibonacci-Zeta infinite series associated with the polygamma functions

Akbiyik, Mücahit

• 27/3 De Moivre-type identities for the Jacobsthal numbers

Akbiyik, Seda Yamaç

• 27/3 De Moivre-type identities for the Jacobsthal numbers

Alves, Francisco Regis Vieira

• 27/1 The Oresme sequence: The generalization of its matrix form and its hybridization process
• 27/2 Perrin’s bivariate and complex polynomials
• 27/4 Leonardo’s three-dimensional relations and some identities
• 27/4 Relations on higher dimensional Padovan sequences
• 27/4 Corrigendum to “The Oresme sequence: The generalization of its matrix form and its hybridization process” [Notes on Number Theory and Discrete Mathematics, Vol. 27, 2021, No. 1, 101–111]

Anantha Reddy, P.

• 27/3 On the average order of the gcd-sum function over arbitrary sets of integers

Anđelic, Milica

• 27/4 Determinantal representations for the number of subsequences without isolated odd terms

Aoudjit, Safia

• 27/4 On Robin’s criterion for the Riemann Hypothesis

Atanassov, Krassimir T.

• 27/1 On a Diophantine equation arising in the history of mathematics
• 27/2 A short remark on a new Fibonacci-type sequence
• 27/3 A short remark on an arithmetic function
• 27/4 Formulas for the n-th prime number

 

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Badidja, Salim

• 27/2 Some identities of generalized Tribonacci and Jacobsthal polynomials

Baghalaghdam, M.

• 27/1 On a class of quartic Diophantine equations

Banerjee, Pradipto

• 27/2 Classifying Galois groups of an orthogonal family of quartic polynomials

Bencherif, Farid

• 27/4 Explicit formulas for Euler polynomials and Bernoulli numbers

Benoumhani, Moussa

• 27/4 An elementary unified approach to prove some identities involving Fibonacci and Lucas numbers

Bera, Ranjan

• 27/2 Classifying Galois groups of an orthogonal family of quartic polynomials

Berkane, Djamel

• 27/4 On Robin’s criterion for the Riemann Hypothesis

Betthauser, Leo

• 27/1 A very general binomial matrix

Bhattacharjee, D.

• 27/1 A study on some generalized multiplicative and generalized additive arithmetic functions

Bhatter, Sanjay

• 27/3 On the rational solutions of y² =x³ + k⁶ⁿ⁺³

Boussayoud, Ali

• 27/1 On the k-Mersenne–Lucas numbers

Brent, Richard P.

• 27/2 On two theorems of Vassilev-Missana

 

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Catarino, Paula Maria Machado Cruz

• 27/1 The Oresme sequence: The generalization of its matrix form and its hybridization process
• 27/2 Perrin’s bivariate and complex polynomials
• 27/4 Leonardo’s three-dimensional relations and some identities
• 27/4 Relations on higher dimensional Padovan sequences
• 27/4 Corrigendum to “The Oresme sequence: The generalization of its matrix form and its hybridization process” [Notes on Number Theory and Discrete Mathematics, Vol. 27, 2021, No. 1, 101–111]

Cereceda, José Luis

• 27/2 Sums of powers of integers and hyperharmonic numbers

Chaudhary, M. P.

• 27/2 Relations between R_α, R_β and R_m functions related to Jacobi’s triple-product identity and the family of theta-function identities

Chelgham, Mourad

• 27/1 On the k-Mersenne–Lucas numbers

 

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Da Fonseca, Carlos M.

• 27/4 Determinantal representations for the number of subsequences without isolated odd terms

Dagal, Keneth Adrian Precillas

• 27/2 The abundancy index of divisors of odd perfect numbers – Part II

Darafsheh, M. R.

• 27/3 Heilbronn-like sums and their properties

De Camargo, André Pierro

• 27/4 A few remarks on the values of the Bernoulli polynomials at rational arguments and some relations with ζ(2k + 1)

De Oliveira Teruya, Giulliano Cogui

• 27/4 A few remarks on the values of the Bernoulli polynomials at rational arguments and some relations with ζ(2k + 1)

Derbal, Abdallah

• 27/1 On new arithmetic function relative to a fixed positive integer. Part 1

Deveci, Ömür

• 27/1 A very general binomial matrix
• 27/1 On the connections between Pell numbers and Fibonacci p-numbers
• 27/2 On the connections among Fibonacci, Pell, Jacobsthal and Padovan numbers
• 27/4 On Fibonacci quaternion matrix

Di Pietro, Gabriele

• 27/3 Numerical analysis approach to twin primes conjecture

Dris, Jose Arnaldo Bebita

• 27/2 The abundancy index of divisors of odd perfect numbers – Part II

Dusart, Pierre

• 27/4 On Robin’s criterion for the Riemann Hypothesis

 

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Erdağ, Özgür

• 27/1 On the connections between Pell numbers and Fibonacci p-numbers

 

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Frontczak, Robert

• 27/2 Partial sum of the products of the Horadam numbers with subscripts in arithmetic progression

Fujita, Yasutsugu

• 27/3 A note on the polynomial-exponential Diophantine equation
  (aⁿ − 1)(bⁿ − 1) = x²

 

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Ghosh, Sourangshu

• 27/4 Fibonacci-Zeta infinite series associated with the polygamma functions

Goy, Taras

• 27/2 Partial sum of the products of the Horadam numbers with subscripts in arithmetic progression

Gryszka, Karol

• 27/4 Binomial formulas via divisors of numbers

Gürses, Nurten

• 27/1 Pell–Padovan generalized quaternions
• 27/4 Fundamental properties of extended Horadam numbers

 

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Halici, Serpil

• 27/4 On Fibonacci quaternion matrix

Hamdi, Abdeldjabar

• 27/2 Some identities of generalized Tribonacci and Jacobsthal polynomials

Haukkanen, Pentti

• 27/1 Bi-unitary multiperfect numbers, IV(b)
• 27/2 Bi-unitary multiperfect numbers, V
• 27/4 On the dimension of an Abelian group

Hernane, Mohand Ouamar

• 27/4 A parametric family of quartic Thue inequalities

Hiller, Josh

• 27/1 A very general binomial matrix

Huang, Shen C.

• 27/4 Algorithms for computing sums of powers of arithmetic progressions by using Eulerian numbers

 

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Idir, Sadani

• 27/4 New consequences of prime-counting function

Ikeda, Jun

• 27/4 A simple proof of Linas’s theorem on Riemann zeta function

İşbilir, Zehra

• 27/1 Pell–Padovan generalized quaternions

Izadi, F.

• 27/1 On a class of quartic Diophantine equations

 

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Jha, Sumit Kumar

• 27/2 A formula for the number of non-negative integer solutions of a₁x₁ + a₂x₂ + ··· + a_mx_m = n in terms of the partial Bell polynomials

Jiafan, Zhang

• 27/1 The character sum of polynomials with k variables and two-term exponential sums

 

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Kafle, Bir

• 27/1 A note on Mersenne Padovan and Perrin numbers

Kalaiselvi, K.

• 27/2 On r-dynamic coloring of comb graphs

Karakaya, Sinan

• 27/3 On some 3 × 3 dimensional matrices associated with generalized Fibonacci numbers

Kátai, I.

• 27/3 Arithmetical functions commutable with sums of squares

Khaldi, Laala

• 27/4 Explicit formulas for Euler polynomials and Bernoulli numbers

Kochiya, Junsei

• 27/4 A simple proof of Linas’s theorem on Riemann zeta function

Köme, Cahit

• 27/4 Factorizations of some lower triangular matrices and related combinatorial identities

Kosari, S.

• 27/1 On a class of quartic Diophantine equations

Kowalski, Jacek M.

• 27/3 On evolving chains of cube-free binary sequences

Kuloğlu, Bahar

• 27/4 Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

Kureš, Miroslav

• 27/1 On Münchhausen numbers

 

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Laib, Ilias

• 27/3 Note on translated sum on primitive sequences

Laohakosol, Vichian

• 27/3 Multiplicative functions satisfying the functional equation κf(m²+n²) = f(κm²) + f(κn²)

Le, Maohua

• 27/3 A note on the polynomial-exponential Diophantine equation (aⁿ − 1)(bⁿ − 1) = x²

Li, Yangcheng

• 27/3 A Diophantine equation about polygonal numbers

 

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Mangueira, Milena Carolina dos Santos

• 27/1 The Oresme sequence: The generalization of its matrix form and its hybridization process
• 27/2 Perrin’s bivariate and complex polynomials
• 27/4 Leonardo’s three-dimensional relations and some identities
• 27/4 Corrigendum to “The Oresme sequence: The generalization of its matrix form and its hybridization process” [Notes on Number Theory and Discrete Mathematics, Vol. 27, 2021, No. 1, 101–111]

Merikoski, Jorma K.

• 27/2 Regular polygons, Morgan-Voyce polynomials, and Chebyshev polynomials

Mihoubi, Miloud

• 27/4 Explicit formulas for Euler polynomials and Bernoulli numbers

Mittou, Brahim

• 27/1 On new arithmetic function relative to a fixed positive integer. Part 1

Mohanapriya, N.

• 27/2 On r-dynamic coloring of comb graphs

 

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Nizio, Lukasz

• 27/1 Finiteness of lattice points on varieties F(y) = F(g(𝕏)) + r(𝕏) over imaginary quadratic fields

 

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Okoth, Isaac Owino

• 27/2 Refined enumeration of 2-noncrossing trees

Özdemir, Halim

• 27/3 On some 3 × 3 dimensional matrices associated with generalized Fibonacci numbers

Özkan, Engin

• 27/1 Catalan transform of the k-Pell, k-Pell–Lucas and modified k-Pell sequence
• 27/2 The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials
• 27/4 Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

 

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Paparella, Pietro

• 27/3 Perron numbers that satisfy Fermat’s equation

Patil, Kailash M.

• 27/1 Characterization of ideals of rhotrices over a ring and its applications

Pękalski, Andrzej

• 27/3 On evolving chains of cube-free binary sequences

Petik, Tuğba

• 27/3 On some 3 × 3 dimensional matrices associated with generalized Fibonacci numbers

Petkova, Ioana

• 27/4 Series expansion of the Gamma function and its reciprocal

Phong, B. M.

• 27/3 Arithmetical functions commutable with sums of squares

Polatlı, Emrah

• 27/3 A note on ratios of Fibonacci hybrid and Lucas hybrid numbers

Prabhakar, Giri

• 27/4 A plane trigonometric proof for the case n = 4 of Fermat’s Last Theorem

Prodinger, Helmut

• 27/1 How to sum powers of balancing numbers efficiently

Puttasontiphot, Tippawan

• 27/1 Odd/even cube-full numbers

 

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Reyes, Jorge E.

• 27/4 Algorithms for computing sums of powers of arithmetic progressions by using Eulerian numbers

Ricci, Paolo Emilio

• 27/1 A note on Q-matrices and higher order Fibonacci polynomials

Rihane, Salah Eddine

• 27/1 A note on Mersenne Padovan and Perrin numbers
• 27/2 Generalized Lucas numbers of the form 3 × 2^m
• 27/4 A parametric family of quartic Thue inequalities

Ripà, Marco

• 27/4 The congruence speed formula

 

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Sándor, József

• 27/1 On a Diophantine equation arising in the history of mathematics
• 27/2 Inequalities for generalized divisor functions
• 27/3 On Vandiver’s arithmetical function – I
• 27/4 On certain inequalities for the prime counting function

Saydi, H.

• 27/3 Heilbronn-like sums and their properties

Şentürk, Gülsüm Yeliz

• 27/4 Fundamental properties of extended Horadam numbers

Shannon, Anthony G.

• 27/1 On the connections between Pell numbers and Fibonacci p-numbers
• 27/2 The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials
• 27/3 A short remark on an arithmetic function
• 27/3 Book review: “Arithmetic Functions”
• 27/4 A note on the Neyman–Rayner triangle
• 27/4 Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

Sharma, Richa

• 27/3 On the rational solutions of y² =x³ + k⁶ⁿ⁺³

Shiue, Peter J.

• 27/4 Algorithms for computing sums of powers of arithmetic progressions by using Eulerian numbers

Sitaramaiah, Varanasi

• 27/1 Bi-unitary multiperfect numbers, IV(b)
• 27/2 Bi-unitary multiperfect numbers, V

Siva Rama Prasad, V.

• 27/3 On the average order of the gcd-sum function over arbitrary sets of integers

Soykan, Yüksel

• 27/4 On k-circulant matrices with the generalized third-order Pell numbers

Srichan, Teerapat

• 27/1 Odd/even cube-full numbers

Suriyacharoen, Wuttichai

• 27/3 Multiplicative functions satisfying the functional equation κf(m²+n²) = f(κm²) + f(κn²)

Susha, D.

• 27/1 On the spectra of a new duplication based corona of graphs

 

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Tang, Qiongzhi

• 27/2 On the Diophantine equations z² = f(x)² ± f(x)f(y) + f(y)²

Taşdemir, Funda

• 27/1 Triple sums including Fibonacci numbers with three binomial coefficients

Taştan, Merve

• 27/1 Catalan transform of the k-Pell, k-Pell–Lucas and modified k-Pell sequence
• 27/2The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials

Togbé, Alain

• 27/1 A note on Mersenne Padovan and Perrin numbers
• 27/2 Generalized Lucas numbers of the form 3 × 2^m
• 27/4 A parametric family of quartic Thue inequalities

Torunbalcı Aydın, Fügen

• 27/3 Pauli–Fibonacci quaternions
• 27/4 On k-Fibonacci hybrid numbers and their matrix representations

Tossavainen, Timo

• 27/4 On the dimension of an Abelian group

 

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Ui, Takato

• 27/4 A simple proof of Linas’s theorem on Riemann zeta function

 

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Varghese, Renny P.

• 27/1 On the spectra of a new duplication based corona of graphs

Vassilev-Missana, Mladen

• 27/2 A note on prime zeta function and Riemann zeta function. Corrigendum

Vernold Vivin, J.

• 27/2 On r-dynamic coloring of comb graphs

Vieira, Renata Passos Machado

• 27/1 The Oresme sequence: The generalization of its matrix form and its hybridization process
• 27/2 Perrin’s bivariate and complex polynomials
• 27/4 Leonardo’s three-dimensional relations and some identities
• 27/4 Corrigendum to “The Oresme sequence: The generalization of its matrix form and its hybridization process” [Notes on Number Theory and Discrete Mathematics, Vol. 27, 2021, No. 1, 101–111]

 

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Wang, Kai

• 27/3 On Ramanujan type identities and Cardano formula

Wenpeng, Zhang

• 27/1 The character sum of polynomials with k variables and two-term exponential sums

 

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Xiaoling, Xu

• 27/1 The character sum of polynomials with k variables and two-term exponential sums

Yilmaz, Nazmiye

• 27/2 More identities on Fibonacci and Lucas hybrid numbers

Yüce, Salim

• 27/4 Fundamental properties of extended Horadam numbers