Results 41 to 50 of about 13,363 (161)
Multipoint nonlocal problem for factorized equation with dependent coefficients in conditions
Karpatsʹkì Matematičnì Publìkacìï, 2015 The conditions of correct solvability of multipoint nonlocal problem for factorized PDE with coefficients in conditions, which depends on one real parameter, is established.
P.B. Vasylyshyn, I.Ya. Savka, I.S. Klyus
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An Inhomogeneous Transference Principle and Diophantine Approximation
, 2008 In a landmark paper, D.Y. Kleinbock and G.A. Margulis established the fundamental Baker-Sprindzuk conjecture on homogeneous Diophantine approximation on manifolds. Subsequently, there has been dramatic progress in this area of research.
Beresnevich, Victor, Velani, Sanju
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Diophantine approximation in Banach spaces [PDF]
, 2016 In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, we discuss Dirichlet-type theorems in a very general framework and define what it means for such a theorem to be optimal.
Fishman, Lior +2 more
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Padé Approximations and Irrationality Measures on Values of Confluent Hypergeometric Functions
MathematicsPadé approximations are approximations of holomorphic functions by rational functions. The application of Padé approximations to Diophantine approximations has a long history dating back to Hermite. In this paper, we use the Maier–Chudnovsky construction
Jiaxin Hu, Chenglong Yu, Kangyun Zhou
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Periodic boxcar deconvolution and diophantine approximation
, 2004 We consider the nonparametric estimation of a periodic function that is observed in additive Gaussian white noise after convolution with a ``boxcar,'' the indicator function of an interval.
Johnstone, Iain M., Raimondo, Marc
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PKCHD: Towards a Probabilistic Knapsack Public-Key Cryptosystem with High Density
Information, 2019 By introducing an easy knapsack-type problem, a probabilistic knapsack-type public key cryptosystem (PKCHD) is proposed. It uses a Chinese remainder theorem to disguise the easy knapsack sequence. Thence, to recover the trapdoor information, the implicit
Yuan Ping +4 more
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Diophantine approximations and convergence of series in Banach spaces
Le Matematiche, 1993 n this paper we give a new proof of a known diophantine approximation result, then we apply this to prove convergence of a class of series in a Banach space, whose terms are defined recursively.
Giovanni Fiorito +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2019 Algebraic and recursion equations are widely used in different areas of mathematics, so various objects and methods of research that are associated with them are very important.
I.I. Lishchynsky
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DIOPHANTINE APPROXIMATION BY PRIMES [PDF]
Glasgow Mathematical Journal, 2009 AbstractWe show that whenever δ > 0 and constants λisatisfy some necessary conditions, there are infinitely many prime triplesp1,p2,p3satisfying the inequality |λ0+ λ1p1+ λ2p2+ λ3p3| < (maxpj)−2/9+δ. The proof uses Davenport–Heilbronn adaption of the circle method together with a vector sieve method.
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New Cryptanalytic Attack on RSA Modulus N = pq Using Small Prime Difference Method
Cryptography, 2018 This paper presents new short decryption exponent attacks on RSA, which successfully leads to the factorization of RSA modulus N = p q in polynomial time. The paper has two parts.
Muhammad Rezal Kamel Ariffin +3 more
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