Results 41 to 50 of about 3,124,594 (207)

The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$ [PDF]

Mathematica Bohemica
Let $p$ and $q$ be two different prime integers such that $p\equiv q\equiv3\pmod8$ with $(p/q)=1$, and $l$ a positive odd square-free integer relatively prime to $p$ and $q$.
Moha Ben Taleb El Hamam
doaj   +1 more source

A certain class of deferred weighted statistical B-summability involving (p,q)-integers and analogous approximation theorems

Filomat, 2019
The preliminary idea of statistical weighted B-summability was introduced by Kadak et al. [27]. Subsequently, deferred weighted statistical B-summability has recently been studied by Pradhan et al. [38]. In this paper, we study statistical versions of
A. Zraiqat, S. Paikray, H. Dutta
semanticscholar   +1 more source

Some approximation results on Bernstein-Schurer operators defined by (p,q)$(p,q)$-integers [PDF]

, 2015
Recently, Mursaleen et al. (On (p,q)$(p,q)$-analogue of Bernstein operators, arXiv:1503.07404) introduced and studied the (p,q)$(p,q)$-analog of Bernstein operators by using the idea of (p,q)$(p,q)$-integers.
M. Mursaleen, M. Nasiruzzaman, Ashirbayev Nurgali   +2 more
semanticscholar   +1 more source

New families of Fibonacci and Lucas octonions with $$Q-$$integer components

Indian Journal of Pure and Applied Mathematics, 2021
In this paper, authors presented $q$-Fibonacci octonions and $q$-Lucas octonions. These elements are defined by using $q$-integers. They found some interesting properties of these elements such as Binet formulas, exponential generating functions, summation formulas, Cassini identities, Catalan identities and d'Ocagne identities.
Can Kızılateş, Emrah Polatlı
openaire   +2 more sources

Some notes about power residues modulo prime

Revista Integración, 2022
Let q be a prime. We classify the odd primes p ≠ q such that the equation x2 ≡ q (mod p) has a solution, concretely, we find a subgroup L4q of the multiplicative group U4q of integers relatively prime with 4q (modulo 4q) such that x2 ≡ q (mod p) has a ...
Diego Alejandro Mejía Guzmán, Yuki Kiriu   +1 more
doaj  

Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]

, 2001
This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique, Ausoni, Christian, Mimura, Mamoru, Yagita, Nobuaki   +3 more
core   +1 more source

Factors of sums involving q-binomial coefficients and powers of q-integers [PDF]

, 2017
We show that, for all positive integers , , and any non-negative integers j and r with , the expression is a Laurent polynomial in q with integer coefficients, where and .
Victor J. W. Guo, Su-Dan Wang
semanticscholar   +1 more source

Approximation by nonlinear Meyer-König and Zeller operators based on q-integers

International Journal of Mathematics and Computer in Engineering
In this paper, we introduce the nonlinear Meyer-König and Zeller operators based on q-integers. Firstly, we describe the q-Meyer-König and Zeller operators of max-product type.
Ecem Acar, Özge Özalp Güller, S. Serenbay   +2 more
semanticscholar   +1 more source

A q-analogue of granville’s congruence

, 2022
In this paper, we establish a q-analogue of Granville’s congruence as follows: ∑p−1 k=1 xk ≡1− xp − (x; q)p p (p − 1) (1 − q) + x [k]q [p]q 2 (mod [p]q ), for any real number x and odd prime p. Here [n]q = 1 + q + q2 + … + qn−1 and (x; q)n = (1 − x) (1 −
Ömür, N., Elkhiri, L., Koparal, S.
core   +1 more source

The problem of Diophantus for integers of Q(√−3) [PDF]

, 2014
We solve the problem of Diophantus for integers of the quadratic field Q(√−3) by finding a D(z)-quadruple in Z[(1+√−3)/2] for each z that can be represented as a difference of two squares of integers in Q(√−3), up to finitely many possible ...
Franušić, Zrinka, Soldo, Ivan, Zrinka Franušić, Ivan Soldo   +3 more
core   +1 more source