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6 papers
Arithmetic exceptionality of generalized Chebyshev polynomials of the second kind
Derya Acar, Metin Azmaz, Vural Cam +1
In this paper, we show that generalized Chebyshev polynomials of the second kind, associated with the root system , are not arithmetically exceptional. We achieve this by stud…
On the Jacobian Matrices of Generalized Chebyshev Polynomials
Ahmet İleri, Ömer Küçüksakallı
In this paper, we give a practical method to compute the Jacobian matrices of generalized Chebyshev polynomials associated to arbitrary semisimple Lie algebras. The entries of each…
On the Arithmetic Exceptionality of Polynomial Mappings
Ömer Küçüksakallı
In this note we prove that certain polynomial mappings in -variables obtained from simple complex Lie algebras $\mathfr…
Bivariate polynomial mappings associated with simple complex Lie algebras
Ömer Küçüksakallı
There are three families of bivariate polynomial maps associated with the rank- simple complex Lie algebras and . It is known that the bivariate polyno…
Value sets of bivariate Chebyshev maps over finite fields
Ömer Küçüksakallı
We determine the cardinality of the value sets of bivariate Chebyshev maps over finite fields. We achieve this using the dynamical properties of these maps and the algebraic expres…
Certain CM class fields with smaller generators
Ömer Küçüksakallı, Osmanbey Uzunkol
We introduce an algorithm that computes explicit class fields of an imaginary quadratic field for a given modulus more efficiently than the u…