• DML-CZ Home

Author: Luca, Florian

• Alzer, Horst; Luca, Florian: An inequality for Fibonacci numbers. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 587-590
• Bravo, Jhon J.; Herrera, Jose L.; Luca, Florian: On a generalization of the Pell sequence. (English). Mathematica Bohemica, vol. 146 (2021), issue 2, pp. 199-213
• Gómez, Carlos A.; Luca, Florian: On the distribution of the roots of polynomial $z^k-z^{k-1}-\dots - z-1$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 3, pp. 291-296
• Luca, Florian; Manganye, Sylvester: On the gaps between $q$-binomial coefficients. (English). Communications in Mathematics, vol. 29 (2021), issue 3, pp. 431-442
• Luca, Florian; Moodley, Damon: Composite positive integers whose sum of prime factors is prime. (English). Archivum Mathematicum, vol. 56 (2020), issue 1, pp. 49-64
• Kafle, Bir; Luca, Florian; Togbé, Alain: Lucas factoriangular numbers. (English). Mathematica Bohemica, vol. 145 (2020), issue 1, pp. 33-43
• Yang, Shichun; Luca, Florian; Togbé, Alain: On a divisibility problem. (English). Mathematica Bohemica, vol. 144 (2019), issue 2, pp. 125-135
• Alzer, Horst; Luca, Florian: Diophantine equations involving factorials. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 181-184
• Luca, Florian; Ziegler, Volker: A note on the number of $S$-Diophantine quadruples. (English). Communications in Mathematics, vol. 22 (2014), issue 1, pp. 49-55
• Euler, Reinhardt; Gallardo, Luis H.; Luca, Florian: On a binary recurrent sequence of polynomials. (English). Communications in Mathematics, vol. 22 (2014), issue 2, pp. 151-157
• Luca, Florian: On a problem of Bednarek. (English). Communications in Mathematics, vol. 20 (2012), issue 2, pp. 79-80
• Luca, Florian: On the Euler function of repdigits. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 51-59
• Luca, Florian; Szalay, László: Congruent numbers with higher exponents. (English). Acta Mathematica Universitatis Ostraviensis, vol. 14 (2006), issue 1, pp. 49-55
• Banks, William D.; Luca, Florian: On integers with a special divisibility property. (English). Archivum Mathematicum, vol. 42 (2006), issue 1, pp. 31-42
• Křížek, Michal; Luca, Florian; Somer, Lawrence: Aritmetické vlastnosti Fibonacciových čísel. (Czech) [Arithmetic properties of Fibonacci numbers]. Pokroky matematiky, fyziky a astronomie, vol. 50 (2005), issue 2, pp. 127-140
• Luca, Florian: On the sum of divisors of the Mersenne numbers. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 457-466
• Luca, Florian: On the equation $\varphi (|x^m-y^m|)=2^n$. (English). Mathematica Bohemica, vol. 125 (2000), issue 4, pp. 465-479