Výsledky vyhledávání - "Dorin Andrica"

Akademický článek

On Some Properties of the Equilateral Triangles with Vertices Located on the Support Sides of a Triangle

Publikováno v: Axioms, Vol 13, Iss 7, p 478 (2024)

The possible positions of an equilateral triangle whose vertices are located on the support sides of a generic triangle are studied. Using complex coordinates, we show that there are infinitely many such configurations, then we prove that the centroi

Externí odkaz: https://doaj.org/article/4ae824f424c548c7a0d33d91896dbd56

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Akademický článek

Remarks on the Coefficients of Inverse Cyclotomic Polynomials

Autor: Dorin Andrica, Ovidiu Bagdasar

Publikováno v: Mathematics, Vol 11, Iss 17, p 3622 (2023)

Cyclotomic polynomials play an imporant role in discrete mathematics. Recently, inverse cyclotomic polynomials have been defined and investigated. In this paper, we present some recent advances related to the coefficients of inverse cyclotomic polyno

Externí odkaz: https://doaj.org/article/c0a9893dda3140d38f206080e30f6a82

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Akademický článek

On the Dynamic Geometry of Kasner Quadrilaterals with Complex Parameter

Autor: Dorin Andrica, Ovidiu Bagdasar

Publikováno v: Mathematics, Vol 10, Iss 18, p 3334 (2022)

We explore the dynamics of the sequence of Kasner quadrilaterals (AnBnCnDn)n≥0 defined via a complex parameter α. We extend the results concerning Kasner triangles with a fixed complex parameter obtained in earlier works and determine the values o

Externí odkaz: https://doaj.org/article/6f3c9d265d4b414dbbc25e07decd762d

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Akademický článek

On Fibonacci and Lucas sequences modulo a prime and primality testing

Autor: Dorin Andrica, Vlad Crişan, Fawzi Al-Thukair

Publikováno v: Arab Journal of Mathematical Sciences, Vol 24, Iss 1, Pp 9-15 (2018)

We prove two properties regarding the Fibonacci and Lucas Sequences modulo a prime and use these to generalize the well-known property p∣Fp−p5. We then discuss these results in the context of primality testing.

Externí odkaz: https://doaj.org/article/88ad4ecba9f944d8aa60b67911542d36

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Akademický článek

On Generalized Lucas Pseudoprimality of Level k

Autor: Dorin Andrica, Ovidiu Bagdasar

Publikováno v: Mathematics, Vol 9, Iss 8, p 838 (2021)

We investigate the Fibonacci pseudoprimes of level k, and we disprove a statement concerning the relationship between the sets of different levels, and also discuss a counterpart of this result for the Lucas pseudoprimes of level k. We then use some

Externí odkaz: https://doaj.org/article/2e494c270f4e447e902a7f0cb4ac4231

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