51 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of LuxembourgLU3 papers
- Ankara UniversityTR2 papers
- Eskişehir Osmangazi UniversityTR2 papers
- Sakarya UniversityTR2 papers
- Van Yüzüncü Yıl ÜniversitesiTR2 papers
- Ahi Evran UniversityTR1 paper
- Cukurova UniversityTR1 paper
- Erzincan Binali Yıldırım UniversityTR1 paper
- Jeonbuk National UniversityKR1 paper
- King Abdullah University of Science and TechnologySA1 paper
- Politecnico di TorinoIT1 paper
17 papers
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…
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…
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…
On the distribution of coefficients of half-integral weight modular forms and the Bruinier-Kohnen Conjecture
Ilker Inam, Zeynep Demirkol Özkaya, Elif Tercan +1
This work represents a systematic computational study of the distribution of the Fourier coefficients of cuspidal Hecke eigenforms of level and half-integral weights. Base…
Fast computation of half-integral weight modular forms
Ilker Inam, Gabor Wiese
To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to have a large number of Fourier coefficients. In this article, w…
Irreversible thermodynamic analysis and application for molecular heat engines
Umberto Lucia, Emin Açıkkalp
The aim of this paper is to determine lost works in a molecular engine and compare results with macro (classical) heat engines. Firstly, irreversible thermodynamics are reviewed fo…
Perfect Morse Function on SO(n)
Mehmet Solgun
In this work, we define a Morse function on SO(n) and show that this function is indeed a perfect Morse function.
A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halász' Theorem
Ilker Inam, Gabor Wiese
In this note, we improve earlier results towards the Bruinier-Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by usi…
Generalized Bicomplex Numbers and Lie Groups
Sıddıka Özkaldı Karakuş, Ferdağ Kahraman Aksoyak
In this paper, we denone the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in R4 and R42 are Lie groups by using g…
Designer thermal switches: Effect of the contact material on instantaneous thermoelectric transport through a strongly interacting quantum dot
Ali Goker, Elif gedik
We investigate the effect of contact geometry on the instantaneous thermoelectric response of a quantum dot pushed suddenly into the Kondo regime via a gate voltage using time depe…
Temporal evolution of Seebeck coefficient in an ac driven strongly correlated quantum dot
Ali Goker, Elif Gedik
We study the response of the thermopower of a quantum dot in the Kondo regime to sinusoidal displacement of the dot energy level via a gate voltage using time dependent non-crossin…
Spinor Frenet Equations in Three Dimensional Lie Groups
O. Zeki Okuyucu, Ö. Gökmen Yıldız, Murat Tosun
In this paper, we study spinor Frenet equations in three dimensional Lie Groups with a bi-invariant metric. Also, we obtain spinor Frenet equations for special cases of three dimen…
Bertrand Curves in three Dimensional Lie Groups
O. Zeki Okuyucu, İsmail Gök, Yusuf Yaylı +1
In this paper, we give the defination of harmonic curvature function some special curves such as helix, slant curves, Mannheim curves and Bertrand curves. Then, we recall the chara…
Transient thermoelectricity in a vibrating quantum dot in Kondo regime
Ali Goker, Berna Uyanik
We investigate the time evolution of the thermopower in a vibrating quantum dot suddenly shifted into the Kondo regime via a gate voltage by adopting the time-dependent non-crossin…
Slant helices in three dimensional lie groups
O. Zeki Okuyucu, I. Gök, Y. Yayli +1
In this paper, we define slant helices in three dimensional Lie Groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations b…
A Note on Inextensible Flows of Curves on Oriented Surface
Onder Gokmen Yildiz, Soley Ersoy, Melek Masal
In this paper, the general formulation for inextensible flows of curves on oriented surface in is investigated. The necessary and sufficient conditions for inextens…
Prediction of femtosecond oscillations in the transient current of a quantum dot in the Kondo regime
Ali Goker, Zhiyong Zhu, Udo Schwingenschlogl +1
We invoke the time-dependent non-crossing approximation in order to study the effects of the density of states of gold contacts on the instantaneous conductance of a single electro…