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Florian Luca

Professor

Stellenbosch University

South Africa

Research Interests

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Professors in Mathematics

Articles (26)

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Collaborators (3)

Mahadi DDAMULIRA

Graz University of Technology (90000)

AUSTRIA

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Jean-Marie De Koninck

Professeur emeritus

Laval University

CANADA

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Stephan Garcia

WM Keck Distinguished Service Professor and Professor of Mathematics

Pomona College

UNITED STATES

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Florian Luca

Research Interests

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Articles (26)

Multiply gleeful numbers, II

Two-dimensional multiplicative relations involving coefficients and roots of generalized Fibonacci polynomials

The Discriminant of the Characteristic Polynomial of the k th Fibonacci Sequence Is Not a Member of the k th Lucas Sequence

Concatenations of terms of an arithmetic progression

On members of Lucas sequences with bounded prime gaps

Multiplicative dependence of k-Fibonacci numbers with the Fibonacci, Lucas, and Pell sequences

On a conjecture by Peth\H{o} concerning absolute values of roots of generalized Fibonacci polynomials

On the index of friability

On $k$-generalized Fibonacci numbers which are perfect powers of Lucas numbers

On a Problem of Douglass and Ono for the Plane Partition Function

On the largest value of the solutions of Erdős’ last equation

Twisted rational zeros of linear recurrence sequences

On equal values of products and power sums of consecutive elements in an arithmetic progression

Common values of two k-generalized Pell sequences

Multiplicative independence in the sequence of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si9.svg"><mml:mi>k</mml:mi></mml:math>-generalized Lucas numbers

On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials

On the problem of Pillai with k -generalized Fibonacci numbers and powers of 3

Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function

Correction to: X-coordinates of Pell equations as sums of two Tribonacci numbers (Periodica Mathematica Hungarica, (2018), 77, 2, (175-190), 10.1007/s10998-017-0226-8)

Linear combinations of prime powers in X-coordinates of Pell equations

Lucas factoriangular numbers

Multiplicative dependence between k-Fibonacci and k-Lucas numbers

On certain sums concerning the gcd's and lcm's of k positive integers

On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers

Pell and Pell–Lucas Numbers as Sums of Two Repdigits

Trinomials with given roots

Collaborators (3)

Mahadi DDAMULIRA

Jean-Marie De Koninck

Stephan Garcia

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