Results 21 to 30 of about 8,450 (282)

Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]

Open Communications in Nonlinear Mathematical Physics, 2021
This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible with
Valentin Ovsienko
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The Numerical Evaluation Methods for Beta Function

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022
In this study, the beta function that is encountered in computational mathematics and physics is analyzed. The correct evaluation of this function also affects the accuracy of other mathematical functions in quantum mechanical calculations. Especially in
Sılay Aytaç Yükçü
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Convergence of λ-Bernstein operators based on (p, q)-integers [PDF]

Journal of Inequalities and Applications, 2020
AbstractIn the present paper, we construct a new class of positive linearλ-Bernstein operators based on (p,q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception ofK-functional and moduli of continuity, and also give a convergence theorem for the Lipschitz continuous ...
Qing-Bo Cai, Wen-Tao Cheng
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Rate of convergence of Szász-beta operators based on q-integers

Demonstratio Mathematica, 2017
AbstractThe purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.
Pooja Gupta, P. Ν. Agrawal
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Uniform approximation by polynomials with integer coefficients [PDF]

Opuscula Mathematica, 2016
Let \(r\), \(n\) be positive integers with \(n\ge 6r\). Let \(P\) be a polynomial of degree at most \(n\) on \([0,1]\) with real coefficients, such that \(P^{(k)}(0)/k!\) and \(P^{(k)}(1)/k!\) are integers for \(k=0,\dots,r-1\).
Artur Lipnicki
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q-Riemann zeta function

International Journal of Mathematics and Mathematical Sciences, 2004
We consider the modified q-analogue of Riemann zeta function which is defined by ζq(s)=∑n=1∞(qn(s−1)/[n]s ...
Taekyun Kim
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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
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General Gamma type operators based on q-integers

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karslı, Harun, Agrawal, P. N., Goyal, Meenu   +2 more
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RSA: A number of formulas to improve the search for p+qp+q

Journal of Mathematical Cryptology, 2017
Breaking RSA is one of the fundamental problems in cryptography. Due to its reliance on the difficulty of the integer factorization problem, no efficient solution has been found despite decades of extensive research. One of the possible ways to break RSA
Mohammed Ahmed, Alkhelaifi Abdulrahman
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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
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