## Found 261 Documents (Results 1–100)

100
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### On badly approximable vectors. (English)Zbl 07525049

MSC:  11J13 11J82
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### Sets with large intersection properties in metric spaces. (English)Zbl 07486000

MSC:  28Axx 11Jxx 11Kxx
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### Uniform Diophantine approximation to Cantor series expansion. (English)Zbl 07468091

MSC:  41-XX 34-XX
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### On the Diophantine equation $$X^2 - (a^2 + 1)Y^4 = k^2 - 1 - 2ka$$. (Chinese. English summary)Zbl 07404187

MSC:  11D25 11J68
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### Phase transitions on the Markov and Lagrange dynamical spectra. (English)Zbl 1483.37036

Reviewer: Xu Zhang (Weihai)
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### Local discrepancies in the problem of the distribution of the sequence $$\{k\alpha\}$$. (English. Russian original)Zbl 1473.11151

Math. Notes 109, No. 3, 473-482 (2021); translation from Mat. Zametki 109, No. 3, 452-463 (2021).
MSC:  11K38 11J20
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MSC:  11D09
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### Metric properties of the product of consecutive partial quotients in continued fractions. (English)Zbl 1452.11095

MSC:  11K50 11J70 11J83
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### On generalized Thue-Morse functions and their values. (English)Zbl 1452.11010

MSC:  11A55 11R06 11J70
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### Successful cryptanalytic attacks upon RSA moduli $$N=pq$$. (English)Zbl 1455.94100

MSC:  94A60 11Y16
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### Estimation of the constant of the best simultaneous Diophantine approximations for $$n=5$$ and $$n=6$$. (Estimation of the constant of the best simultaneous diophanite approximations for $$n=5$$ and $$n=6$$.) (Russian. English summary)Zbl 1441.11177

MSC:  11J13 11J17
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### Estimations of the constant of the best simultaneous Diophantine approximations. (Estimations of the constant of the best simultaneous diophanite approximations.) (Russian. English summary)Zbl 1441.11176

MSC:  11J13 11J17
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MSC:  11J13
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### Numbers with almost all convergents in a Cantor set. (English)Zbl 1442.11016

MSC:  11A55 11J25 11J82
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### Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields. (English)Zbl 1418.35087

MSC:  35H10 35F35
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### Almost sure functional central limit theorem for the linear random walk on the torus. (English)Zbl 1480.60073

MSC:  60F17 60G50
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### Some questions around quasi-periodic dynamics. (English)Zbl 1450.37024

Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1909-1932 (2018).
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### On the history of estimates of the constant of the best joint Diophantine approximations. (Russian. English summary)Zbl 1434.11001

MSC:  11-03 11J17
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MSC:  11J82
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### New attacks on prime power $$N = p^r q$$ using good approximation of $$\phi (N)$$. (English)Zbl 07174181

MSC:  94-XX 68-XX
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### New vulnerability of RSA modulus type $$N = p^2 q$$. (English)Zbl 07174178

MSC:  94-XX 11-XX
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### New finding on factoring prime power RSA modulus $$N = {p^r}q$$. (English)Zbl 1399.11023

MSC:  11A51 11A55 11K60
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MSC:  11D25
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### A remark on positive definite quadratic forms and rational points. (Eine Bemerkung über positiv definite quadratische Formen und rationale Punkte.) (German)Zbl 1387.11028

MSC:  11E10 11J83
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### From Diophantine approximations to Diophantine equations. (Russian. English summary)Zbl 1435.11089

MSC:  11H55 11J70
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### About the number of points with the algebraic coordinates in a strip of small measure in the field. (Russian. English summary)Zbl 1402.11106

MSC:  11J83 11J61
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### On a question of N. Chevallier related to simultaneous Diophantine approximation. (Sur une question de N. Chevallier liée à l’approximation diophantienne simultanée.) (French. English summary)Zbl 1415.11093

MSC:  11J13 11J70 11K60
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MSC:  11D25
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MSC:  11D25

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### Distribution of algebraic points in domains of small measure and near the surfaces. (Russian. English summary)Zbl 1437.11103

MSC:  11J83 11J13 11K60
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### On the upper bound of the amount of polynomials with bounded derivative at a root. (Russian. English summary)Zbl 1372.11070

MSC:  11J17 11J25
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MSC:  11J83
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MSC:  11J82
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### Fractal geometry and dynamical bifurcations. (English)Zbl 1373.37071

Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 647-659 (2014).

### On the Diophantine equation $$X^2-(a^2+4p^{2n})Y^4=-4p^{2n}$$. (Chinese. English summary)Zbl 1313.11062

MSC:  11D25 11D45

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### New attacks on the RSA cryptosystem. (English)Zbl 1288.94077

Pointcheval, David (ed.) et al., Progress in cryptology – AFRICACRYPT 2014. 7th international conference on cryptology in Africa, Marrakesh, Morocco, May 28–30, 2014. Proceedings. Berlin: Springer (ISBN 978-3-319-06733-9/pbk). Lecture Notes in Computer Science 8469, 178-198 (2014).
MSC:  94A60
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### On the average number of best approximations of linear forms. (English. Russian summary)Zbl 1295.11078

Izv. Math. 78, No. 2, 268-292 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 2, 61-86 (2014).
MSC:  11J13 11J17
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### On a generalization of the Dujella method. (Russian. English summary)Zbl 1475.94174

MSC:  94A60 11A55 11J99
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### Explicit version of Worley’s theorem in diophantine approximations. (English)Zbl 1382.11049

MSC:  11K60 11A55

MSC:  11J13
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### Vectors of a given Diophantine type. II. (English. Russian original)Zbl 1278.11073

Sb. Math. 204, No. 4, 463-484 (2013); translation from Mat. Sb. 204, No. 4, 3-24 (2013).
MSC:  11J13 11J06
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### Inhomogeneous Diophantine approximation with general error functions. (English)Zbl 1301.28006

MSC:  28A80 37E05 28A78
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### On the Diophantine properties of $$\lambda$$-expansions. (English)Zbl 1272.11096

MSC:  11K55 28A78 37A45
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### A method for solving families of quartic Thue inequalities. (English)Zbl 1338.11046

MSC:  11D59 11D25
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### Gaps in binary expansions of some arithmetic functions and the irrationality of the Euler constant. (English)Zbl 1281.11007

MSC:  11A63 11D75 11N05

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MSC:  11J13
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### Crossroads between hyperbolic geometry and number theory. (English)Zbl 1325.37019

Papadopoulos, Athanase (ed.), Strasbourg master class on geometry. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-105-7/pbk). IRMA Lectures in Mathematics and Theoretical Physics 18, 183-232 (2012).
MSC:  37D40 11J25
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### A note on simultaneous Diophantine approximation in positive characteristic. (English)Zbl 1238.11073

MSC:  11J61 11J83 11K60
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### Generalized Rédei rational functions and rational approximations over conics. (English)Zbl 1273.11028

MSC:  11B39 11D09 11J70
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### On the Diophantine equation $$X^2 - (1 + a^2)Y^4 = - 2a$$. (English)Zbl 1268.11044

Reviewer: Bo He (Sichuan)
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### On the Diophantine equation $$aX^4-bY^2=1$$. (Chinese. English summary)Zbl 1224.11054

MSC:  11D25 11J86

### On the Diophantine equation $$X^2-(p^{2m}+1)Y^6=-p^{2m}$$. (English)Zbl 1213.11077

MSC:  11D41 11B39
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### Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms. (English)Zbl 1200.11055

MSC:  11J83 22E40 37A45
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### A thermodynamic classification of real numbers. (English)Zbl 1210.11079

MSC:  11J70 37A45 37D35 82B05
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### Collapsing, spectrum, and Diophantine properties of Riemannian flows. (Effondrement, spectre et propriétés diophantiennes des flots riemanniens.) (French. English summary)Zbl 1194.58030

Reviewer: Salah Mehdi (Metz)
MSC:  58J50 58C40 53C12
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### Badly approximable affine forms and Schmidt games. (English)Zbl 1205.11088

MSC:  11J83 37A45
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### Diophantine approximation with arithmetic functions. II. (English)Zbl 1225.11099

MSC:  11K60 11N64 11F30
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### Distribution of periodic torus orbits on homogeneous spaces. (English)Zbl 1172.37003

MSC:  37A17 37A45 11E99
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### Diophantine approximation with arithmetic functions. I. (English)Zbl 1225.11098

MSC:  11K60 11N36
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### Minkowski’s successive minima. (English)Zbl 1234.11085

Balasubramanian, R. (ed.) et al., Number theory and discrete geometry. Proceedings of the international conference in honour of Professor R. P. Bambah, Chandigarh, India, November 30–December 3, 2005. Mysore: Ramanujan Mathematical Society (ISBN 978-81-902545-6-4/hbk). Ramanujan Mathematical Society Lecture Notes Series 6, 129-142 (2008).

### On the construction of (explicit) Khodak’s code and its analysis. (English)Zbl 1319.94108

MSC:  94B35 68P30
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### An extension of quantitative nondivergence and applications to Diophantine exponents. (English)Zbl 1230.37009

MSC:  37A17 11J83 37A45
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### The Skolem-Bang theorems in ordered fields with an IP. (English)Zbl 1192.11044

MSC:  11J99 11U10 12J15
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### On the irrationality measure of $$\ln 3$$. (English. Russian original)Zbl 1169.11032

Dokl. Math. 76, No. 3, 955-957 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 6, 753-755 (2007).
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### Asymptotic behavior of some elastic planar networks of Bernoulli-Euler beams. (English)Zbl 1145.35340

MSC:  35B40 35B37 93B07 93D15 74K10 74H45
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### Diophantine approximation in $$\mathbb C\times\mathbb Q_p$$. (English)Zbl 1205.11086

Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25–29, 2006. Vilnius: TEV (ISBN 978-9955-680-81-9/hbk). 56-71 (2007).
MSC:  11J83 11J61

### Best Diophantine approximations: the phenomenon of degenerate dimension. (English)Zbl 1151.11031

Young, Nicholas (ed.), Surveys in geometry and number theory. Reports on contemporary Russian mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-69182-6/pbk). London Mathematical Society Lecture Note Series 338, 158-182 (2007).
MSC:  11J13 11J25 11J83
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MSC:  11J82
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### Walking cautiously into the Collatz wilderness: algorithmically, number theoretically, randomly. (English)Zbl 1219.11038

Fourth colloquium on mathematics and computer science IV. Algorithms, trees, combinatorics and probabilities. Papers based on the presentations at the colloquium, Nancy, France, September 18–22, 2006. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 249-260, electronic only (2006).
MSC:  11B83 11B37 03B25 37A45
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### Diophantine analysis and words. (English)Zbl 1155.11042

Katsurada, Masanori (ed.) et al., Diophantine analysis and related fields 2006. In honor of Iekata Shiokawa. Proceedings of the conference, Keio University, Yokohama, Japan, March 7–10, 2006. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 35, 203-221 (2006).
MSC:  11K16 37A45 37B10

### Approximating positive reals by ratios of kernels of consecutive integers. (English)Zbl 1173.11047

Katsurada, Masanori (ed.) et al., Diophantine analysis and related fields 2006. In honor of Iekata Shiokawa. Proceedings of the conference, Keio University, Yokohama, Japan, March 7–10, 2006. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 35, 141-149 (2006).

### Diophantine approximations and a problem from the 1988 IMO. (English)Zbl 1161.11022

MSC:  11J70 11D09
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### Joint two-dimensional best Diophantine approximations in Euclidean form. (Russian, English)Zbl 1116.41030

Vestn. Mosk. Univ., Ser. I 2006, No. 2, 49-52 (2006); translation in Mosc. Univ. Math. Bull. 61, No. 2, 34-37 (2006).
MSC:  41A52

### Vectors of a given Diophantine type. (English. Russian original)Zbl 1156.11325

Math. Notes 80, No. 3, 318-328 (2006); translation from Mat. Zametki 80, No. 3, 328-338 (2006).
MSC:  11J13
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### Partial preservation of frequencies in KAM theory. (English)Zbl 1100.37037

MSC:  37J40 70H08 70K43 70H33 11J20 11J83 37A45
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### Asymptotics of joint orthogonality polynomials associated with a problem of Diophantine approximations theory. (Russian, English)Zbl 1103.41015

Vestn. Mosk. Univ., Ser. I 2005, No. 4, 25-29 (2005); translation in Mosc. Univ. Math. Bull. 60, No. 4, 27-30 (2005).
MSC:  41A21 41A60 11D99

### Best simultaneous Diophantine approximations and Lévy’s theorem. (Meilleures approximations diophantiennes simultanées et théorème de Lévy.) (French)Zbl 1080.11052

MSC:  11J13 11J70
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### Density modulo 1 of sublacunary sequences. (English)Zbl 1078.11048

Math. Notes 77, No. 6, 741-750 (2005); translation from Mat. Zametki 77, No. 6, 803-813 (2005).
MSC:  11J71 11K06 11J25
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