Results 31 to 40 of about 9,658 (272)

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
doaj   +1 more source

Efficient q-integer linear decomposition of multivariate polynomials [PDF]

Journal of Symbolic Computation, 2019
We present two new algorithms for the computation of the q-integer linear decomposition of a multivariate polynomial. Such a decomposition is essential for the treatment of q-hypergeometric symbolic summation via creative telescoping and for describing the q-counterpart of Ore-Sato theory.
Giesbrecht, Mark, Huang, Hui, Labahn, George, Zima, Eugene   +3 more
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Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators [PDF]

, 2016
In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators.
Jain, Dilip, Kilicman, Adem, Mishra, Vishnu Narayan, Sharma, Preeti   +3 more
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The q-Integers and the Mersenne Numbers [PDF]

SSRN Electronic Journal, 2018
Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-integers will be studied too.
openaire   +2 more sources

A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]

, 2012
The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim, HM Srivastava, HM Srivastava, IN Cangul, M Acikgoz, Mehmet Açikgöz, S Araci, S Araci, S Araci, S Araci, S Araci, S Araci, S-H Rim, Serkan Araci, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, Y Simsek, Y Simsek   +25 more
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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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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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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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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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