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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 BohemicaLet $p$ 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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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 +1 more
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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.
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Ibragimov–Gadjiev operators based on q-integers
Advances in Difference Equations, 2018 In this paper, we define the q-analogue of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We study some approximation properties of these new operators, and we show that this sequence of operators is a ...
Serap Herdem, Ibrahim Büyükyazıcı
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Hyper Relative Order (p, q) of Entire Functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product ...
Banerjee Dibyendu, Batabyal Saikat
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A Note on the q-Euler Measures
Advances in Difference Equations, 2009 Properties of q-extensions of Euler numbers and polynomials which generalize those satisfied by Ek and Ek(x) are used to construct q-extensions of p-adic Euler measures and define p-adic q-ℓ-series which interpolate q-Euler numbers at negative ...
Taekyun Kim +2 more
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On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties
Journal of Inequalities and Applications, 2017 In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.
M Mursaleen +2 more
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Minimal irreducible solvable subgroups of the group GL(q,{Z}_{p})
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2018 All minimal irreducible solvable subgroups of the group GL(q,{Z}_{p}) (q is a prime, {Z}_{p} is the ring of rational $p$-adic integers) are described up to conjugation for p ...
О. А. Кирилюк
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$q$-Rationals and Finite Schubert Varieties
Comptes Rendus. Mathématique, 2023 The classical $q$-analogue of the integers was recently generalized by Morier-Genoud and Ovsienko to give $q$-analogues of rational numbers. Some combinatorial interpretations are already known, namely as the rank generating functions for certain ...
Ovenhouse, Nicholas
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