Results 11 to 20 of about 304 (26)
, 2009 This paper continues investigations on the integral transforms of the Minkowski question mark function. In this work we finally establish the long-sought formula for the moments, which does not explicitly involve regular continued fractions, though it ...
F. Ryde +11 more
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Equality cases of the Alexandrov–Fenchel inequality are not in the polynomial hierarchy
Forum of Mathematics, PiDescribing the equality conditions of the Alexandrov–Fenchel inequality [Ale37] has been a major open problem for decades. We prove that in the case of convex polytopes, this description is not in the polynomial hierarchy unless the polynomial hierarchy ...
Swee Hong Chan, Igor Pak
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Ramanujan and Extensions and Contractions of Continued Fractions
, 2004 If a continued fraction $K_{n=1}^{\infty} a_{n}/b_{n}$ is known to converge but its limit is not easy to determine, it may be easier to use an extension of $K_{n=1}^{\infty}a_{n}/b_{n}$ to find the limit. By an extension of $K_{n=1}^{\infty} a_{n}/b_{n}$
B.C. Berndt +13 more
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A security analysis of two classes of RSA-like cryptosystems
Journal of Mathematical CryptologyLet N=pqN=pq be the product of two balanced prime numbers pp and qq. In Elkamchouchi et al. (Extended RSA cryptosystem and digital signature schemes in the domain of Gaussian integers. In: ICCS 2002. vol. 1. IEEE Computer Society; 2002. p.
Cotan Paul, Teşeleanu George
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, 2018 For each positive integer $n$ it is shown how to construct a finite collection of multivariable polynomials $\{F_{i}:=F_{i}(t,X_{1},..., X_{\lfloor \frac{n+1}{2} \rfloor})\}$ such that each positive integer whose squareroot has a continued fraction ...
Bernstein +7 more
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Polynomial estimates, exponential curves and Diophantine approximation
, 2010 Let $\alpha\in(0,1)\setminus{\Bbb Q}$ and $K=\{(e^z,e^{\alpha z}):\,|z|\leq1\}\subset{\Bbb C}^2$. If $P$ is a polynomial of degree $n$ in ${\Bbb C}^2$, normalized by $\|P\|_K=1$, we obtain sharp estimates for $\|P\|_{\Delta^2}$ in terms of $n$, where ...
Coman, Dan, Poletsky, Evgeny A.
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A note on continued fractions of quadratic irrationals [PDF]
, 1997 Quadratic irrationals √D have a periodic representation in terms of continued fractions. In this paper some relations between n-th approximations of quadratic irrationals are proved.
N. Elezović
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Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. [PDF]
Math Ann, 2023 Minelli P, Sourmelidis A, Technau M.
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Weak Gibbs property and system of numeration
, 2006 We study the selfsimilarity and the Gibbs properties of several measures defined on the product space $\Omega\_r:=\{0,1,...,\break r-1\}^{\mathbb N}$. This space can be identified with the interval $[0,1]$ by means of the numeration in base $r$. The last
Olivier, Eric, Thomas, Alain
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