K. Liptai

activity

20152024

collaborators

3 papers

math.NT2024

On certain Fibonacci representations

Kálmán Liptai, László Németh, Tamás Szakács +1

One of the most popular and studied recursive series is the Fibonacci sequence. It is challenging to see how Fibonacci numbers can be used to generate other recursive sequences. In…

math.NT2020

Resolution of the equation $(3^{x_{1}} - 1) (3^{x_{2}} - 1) = (5^{y_{1}} - 1) (5^{y_{2}} - 1)$

Kálmán Liptai, László Németh, Gökhan Soydan +1

Consider the diophantine equation $(3^{x_{1}} - 1) (3^{x_{2}} - 1) = (5^{y_{1}} - 1) (5^{y_{2}} - 1)$ in positive integers $x_{1} \leq x_{2}$ , and $y_{1} \leq y_{2}$ . Each side of the equation is a product of two…

math.NT2015

Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

Takao Komatsu, Kalman Liptai, István Mező

By using the associated and restricted Stirling numbers of the second kind, we give some generalizations of the poly-Bernoulli numbers. We also study their arithmetical and combina…

On certain Fibonacci representations

Resolution of the equation (3x1​−1)(3x2​−1)=(5y1​−1)(5y2​−1)

Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

Resolution of the equation $(3^{x_{1}} - 1) (3^{x_{2}} - 1) = (5^{y_{1}} - 1) (5^{y_{2}} - 1)$