4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2026
On a Diophantine Equation with Jacobsthal and Fibonacci Numbers
Daeyeoul Kim, Zekiye Pinar Cihan, Zeynep Demirkol Ozkaya +1
In the present paper, we identify all Jacobsthal numbers that may be expressed as a product of three Fibonacci numbers. More precisely, our main result shows that the only solution…
math.NT2026
Inverses of Fibonacci and Lucas Numbers via Rational Indices
Zekiye Pinar Cihan, Ilker Inam
Fibonacci and Lucas numbers have been extensively studied in various algebraic and number-theoretic contexts, including their modular inverses and generalizations. Motivated by the…
math.NT2022★ 4 cited
A Short Note on the Pell-Lucas-Eisenstein Series
Mine Uysal, Ilker Inam, Engin Ozkan
In this work, we define a new type of Eisenstein-like series by using Pell-Lucas numbers and call them the Pell-Lucas-Eisenstein Series. Firstly, we show that the Pell-Lucas-Eisens…