Zobrazeno 1 - 10
of 7 900
pro vyhledávání: '"Diophantine equation"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23468-23488 (2024)
Let $ \mathbb{F}_q $ be the finite field of $ q $ elements, and $ \mathbb{F}_{q^{n}} $ its extension of degree $ n $. A normal basis of $ \mathbb{F}_{q^{n}} $ over $ \mathbb{F}_q $ is a basis of the form $ \{\alpha, \alpha^{q}, \cdots, \alpha^{q^{n-1
Externí odkaz:
https://doaj.org/article/ac31cc9d3cd0466196469ea162fe1630
Autor:
I. G. Galyautdinov, E. E. Lavrentyeva
Publikováno v:
Учёные записки Казанского университета. Серия Физико-математические науки, Vol 166, Iss 2, Pp 147-161 (2024)
Two forms f (x, y, z) and g(x, y, z) of degree 3 were constructed, with their values being the norms of numbers in the subfields of degree 3 of the circular fields K13 and K19 , respectively. Using the decomposition law in a circular field, Diopha
Externí odkaz:
https://doaj.org/article/0fb8a9f010f740ffa697845423bbc71b
Autor:
Hunar Sherzad Taher, Saroj Kumar Dash
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 20173-20192 (2024)
Let $ \left\{E_{n}\right\}_{n\geq0} $ and $ \left\{P_{n}\right\}_{n\geq0} $ be sequences of Perrin and Padovan numbers, respectively. We have found all repdigits that can be written as the sum or product of $ E_{n} $ and $ P_{m} $ in the base $ \eta
Externí odkaz:
https://doaj.org/article/6d24c0c2b1f04e0680c2cf4811d91235
Autor:
Yongzhong Hu
Publikováno v:
Electronic Research Archive, Vol 32, Iss 3, Pp 1618-1623 (2024)
Let $ n $ be a positive integer with $ n > 1 $ and let $ a, b $ be fixed coprime positive integers with $ \min\{a, b\} > 2 $. In this paper, using the Baker method, we proved that, for any $ n $, if $ a > \max\{15064b, b^{3/2}\} $, then the equation
Externí odkaz:
https://doaj.org/article/d7def89e9fca4764b565ea5815ac7d0e
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 4, Pp 507-518 (2023)
Let $k\geq2$ and let $(P_n^{(k)})_{n\geq2-k}$ be the $k$-generalized Pell sequence defined by \begin{equation*} P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots+P_{n-k}^{(k)} \end{equation*}for $n\geq2$ with initial conditions \begin{equation*} P_{-(k-2
Externí odkaz:
https://doaj.org/article/34e113f1b2354c8ab290f8e9584e4041
Publikováno v:
Neutrosophic Sets and Systems, Vol 59, Pp 153-171 (2023)
The objective of this paper is to find the necessary and sufficient conditions for a symbolic 3-plithogenic quadruple (𝑡0 + 𝑡1𝑃1 + 𝑡2𝑃2 + 𝑡3𝑃3, 𝑠0 + 𝑠1𝑃1 + 𝑠2𝑃2 + 𝑠3𝑃3, 𝑘0 + 𝑘1𝑃1 + 𝑘2𝑃2 + 𝑘3
Externí odkaz:
https://doaj.org/article/3302cad22920421083210d275a98e17d