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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.NT2018
A generalization of Menon's identity with Dirichlet characters
Yan Li, Xiaoyu Hu, Daeyeoul Kim
The classical Menon's identity [7] states that \begin{equation*}\label{oldbegin1} \sum_{\substack{a\in\Bbb Z_n^\ast }}\gcd(a -1,n)=φ(n) σ_{0} (n), \end{equation*} where for a posit…
math.NT2005
On the two-variable Dirichlet q-L-series
Y. Simsek, Daeyeoul Kim, Seog-Hoon Rim
In this study, we construct the two-variable multiple Dirichlet q-L-function and two-variable multiple Dirichlet type Changhee q-L-function. These functions interpolate the q-Berno…