Results 121 to 130 of about 1,648,333 (245)
Diophantine Approximation on a Circle
, 2009 The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dirichlet, is that of approximating real numbers by rationals with controlled denominators.
Fukshansky, Lenny
core +1 more source
A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION [PDF]
Glasgow Mathematical Journal, 2003 Let $\alpha$ be an irrational number. We determine the Hausdorff dimension of sets of real numbers which are close to infinitely many elements of the sequence $(\{n\alpha\})_{n\,{\ge}\,1}$.
openaire +3 more sources
Distribution of integer points on determinant surfaces and a mod‐p analogue
Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
wiley +1 more source
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
doaj +1 more source
f$f$‐Diophantine sets over finite fields via quasi‐random hypergraphs from multivariate polynomials
Mathematika, Volume 72, Issue 2, April 2026.Abstract We investigate f$f$‐Diophantine sets over finite fields via new explicit constructions of families of quasi‐random hypergraphs from multivariate polynomials. In particular, our construction not only offers a systematic method for constructing quasi‐random hypergraphs but also provides a unified framework for studying various hypergraphs ...
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley +1 more source
Dichotomy Law for a Modified Shrinking Target Problem in Beta Dynamical System
MathematicsLet φ:N→(0,1] be a positive function. We consider the size of the set Ef(φ):={β>1:|Tβn(x)−f(β)|
Wenya Wang, Zhongkai Guo
doaj +1 more source
Random walks on the circle and Diophantine approximation. [PDF]
J Lond Math Soc, 2023 Berkes I, Borda B.
europepmc +1 more source
Diophantine Approximation with Mixed Powers of Primes
Taiwanese journal of mathematics, 2019 . Let k be an integer with k ≥ 3. Let λ 1 , λ 2 , λ 3 be non-zero real numbers, not all negative. Assume that λ 1 /λ 2 is irrational and algebraic. Let V be a well-spaced sequence, and δ > 0. In this paper, we prove that, for any ε > 0, the number of υ ∈
Huafeng Liu, Jing Huang
semanticscholar +1 more source
Counting Real Roots in Polynomial-Time via Diophantine Approximation. [PDF]
Found Comut Math, 2022 Rojas JM.
europepmc +1 more source
Transactions on Fuzzy Sets and SystemsAlzheimers disease is an unpredictable and progressive neurodegenerative disorder that initially affects memory thinking and behavior. Some key features of Alzheimers disease are memory loss, cognitive decline, behavioral changes, disorientation ...
Zeeshan Ali
doaj