## Found 577 Documents (Results 1–100)

100
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### Approximations for the ratio of the gamma functions via the digamma function and its applications. (English)Zbl 1475.33002

MSC:  33B15 26D15 41A25
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### A table of short-period Tausworthe generators for Markov chain quasi-Monte Carlo. (English)Zbl 1462.65011

MSC:  65C10 11K45
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### Fundamental units for real quadratic fields determined by continued fraction conditions. (English)Zbl 07513020

MSC:  11R27 11A55 11R11
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### Continued fractions and factoring. (English)Zbl 1475.11013

MSC:  11A55 11A51
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### Hyper $$b$$-ary expansions and Stern polynomials. (English)Zbl 1468.11084

MSC:  11B83 05A15 11A63
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MSC:  11A55
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### On the $$\chi^2$$ statistics of leading digits of irrational rotations with a large first or second partial quotient. (English)Zbl 1463.11126

MSC:  11K38 11K31 11A55
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MSC:  28A80
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### Irrationality exponents of generalized Hone series. (English)Zbl 1452.11088

MSC:  11J82 11J70
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### On the asymptotic behavior of the sine product $$\Pi^n_{r =1} |2 \sin\pi r \alpha |$$. (English)Zbl 1459.11017

Bilyk, Dmitriy (ed.) et al., Discrepancy theory. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 26, 103-115 (2020).
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### On the continued fraction expansions of $$\sqrt{p}$$ and $$\sqrt{2p}$$ for primes $$p\equiv 3\pmod 4$$. (English)Zbl 1442.11015

Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 175-178 (2020).
MSC:  11A55 11R11
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### Some algebraic relations on an integer sequence with fixed parameter. (English)Zbl 1463.11042

MSC:  11B39 05A19
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### Letter to the editor: proof of the HRT conjecture for almost every $$(1,3)$$ configuration. (English)Zbl 1417.42001

MSC:  42A05 11K60 11K70
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### Convergence results for Oppenheim expansions. (English)Zbl 1410.11108

MSC:  11K55 60F05
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### On the evolution of continued fractions in a fixed quadratic field. (English)Zbl 1444.11157

MSC:  11K50 11A55 37A44
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### Hausdorff dimension of level sets in Engel continued fraction. (English)Zbl 1399.11136

MSC:  11K55 28A80
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### On the expansions of real numbers in two integer bases. (Sur le développement des nombres réels en deux bases entières.) (English. French summary)Zbl 1433.11004

MSC:  11A63 68R15
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### Continued fractions and irrational rotations. (English)Zbl 1399.11131

MSC:  11K38 11K31 11A55
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### Upper bounds for double exponential sums along a subsequence. (English)Zbl 1448.11136

MSC:  11J70 11L03 11L07
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MSC:  11A55
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### Continued fractions and inequalities about $$\left( 1+\frac{1}{x}\right)^x$$. (English)Zbl 1429.41030

MSC:  41A60 11A55
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### Improved convergence towards Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. (English)Zbl 1421.11106

MSC:  11Y60 11A55 41A25
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### A note on singularity of a recently introduced family of Minkowski’s question-mark functions. (Note sur la singularité d’une famille de fonctions “Minkowski’s question-mark” récemment introduite.) (English. French summary)Zbl 1382.37038

MSC:  37E05 37A45 28D05
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### $$S$$-units and periodicity of square root in hyperelliptic fields. (English. Russian original)Zbl 1406.11042

Dokl. Math. 95, No. 3, 222-225 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 2, 155-158 (2017).
MSC:  11F27 11J70
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### A remark on Liao and Rams’ result on the distribution of the leading partial quotient with growing speed $$e^{n^{1/2}}$$ in continued fractions. (Une remarque sur le résultat de Liao et Rams concernant la distribution des fractions continues dont le plus grand quotient partiel croît en $$e^{n^{1/2}}$$.) (English. French summary)Zbl 1367.11067

MSC:  11K50 11K55
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### On the construction of continued fraction normal series in positive characteristic. (English)Zbl 1426.11073

MSC:  11K16 11J70
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### The simplest functions associated with the operator of the left-side shift of the elements of the continued fraction expansion of numbers. (Ukrainian. English summary)Zbl 1389.11113

MSC:  11K55 11A67 28A80

### The Hurwitz continued fraction expansion as applied to real numbers. (English)Zbl 1372.11007

MSC:  11A55 11J04
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### $$S$$-adic expansions related to continued fractions. (English)Zbl 1372.37024

MSC:  37B10 37A45 11K50 11A55 68R15

### Coupled acoustic response of two-dimensional bounded and unbounded domains using doubly-asymptotic open boundaries. (English)Zbl 1349.76181

MSC:  76M10 65M60 76Q05
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### Some algebraic relations on integer sequences involving oblong and balancing numbers. (English)Zbl 1424.11052

MSC:  11B39 05A19 11B37

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### On the Hausdorff dimension faithfulness of continued fraction expansion. (Sur la fidélité du développement en fraction continue pour la dimension de Hausdorff.) (English. French summary)Zbl 1344.11054

MSC:  11K55 11K50
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### The relative growth rate of the largest digit in continued fraction expansions. (English)Zbl 1362.11076

MSC:  11K55 11K50 28A80
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### On the extremal theory of continued fractions. (English)Zbl 1336.11058

MSC:  11K60 60F05 60G70
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### The relative growth rate of the largest partial quotient to the sum of partial quotients in continued fraction expansions. (English)Zbl 1408.11078

MSC:  11K55 28A80
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### Continued $$\beta$$-fractions with formal power series over finite fields. (English)Zbl 1402.11130

MSC:  11R06 37A45 37B50
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### $$S$$-units and periodicity of continued fractions in hyperelliptic fields. (English. Russian original)Zbl 1337.11040

Dokl. Math. 92, No. 3, 752-756 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 537-541 (2015).
MSC:  11G16 11A55 11R27
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### On values of binary quadratic forms at integer points. (English)Zbl 1328.11037

MSC:  11E16 11A55 11D75
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### $$q$$-Stern polynomials as numerators of continued fractions. (English)Zbl 1360.11038

MSC:  11B65 11B37 11A55
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### On some modular relations and 2- and 4-dissections of Ramanujan’s continued fraction of order six. (English)Zbl 1371.11011

MSC:  11A55 30B50 30B70

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### Constructions of elliptic curves endomorphisms. (English)Zbl 1475.94141

MSC:  94A60 14G50 11T71
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### Behavior of the ring class numbers of a real quadratic field. (English)Zbl 1324.11062

MSC:  11R04 11R11 11R29

### Beyond substitutive dynamical systems: $$S$$-adic expansions. (English)Zbl 1376.37033

MSC:  37B10 37B25 37A45 37A35
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### On the asymptotic behavior of Dedekind sums. (English)Zbl 1295.11037

MSC:  11F20 11A55
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### On the equivalence relations of $$\alpha$$-continued fractions. (English)Zbl 1342.11062

MSC:  11J70 11K50
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MSC:  11J70
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### Pell form and Pell equation via oblong numbers. (English)Zbl 1324.11031

MSC:  11D09 11D25 11E16

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### Dedekind sums with arguments near certain transcendental numbers. (English)Zbl 1311.11028

MSC:  11F20 11A55 11J81
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### Dynamics of $$\lambda$$-continued fractions and $$\beta$$-shifts. (English)Zbl 1294.11119

MSC:  11J70 11K16 37A45
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MSC:  11J70
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### Classification and symmetries of a family of continued fractions with bounded period length. (English)Zbl 1322.11010

MSC:  11A55 11Y65
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### Rauzy fractals induced from automorphisms on the free group of rank 2 related to continued fractions. (English)Zbl 1275.28008

MSC:  28A80 37E05 37B50

### Diophantine approximation for the cubic root of polynomials of $$\mathbb{F}_{2}[X]$$. (English)Zbl 1339.11072

MSC:  11J17 11R58 11J70
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### On certain statistical properties of continued fractions with even and with odd partial quotients. (English)Zbl 1273.11015

MSC:  11A55 11K50 37A45
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### Rational approximation for fractional-order system by particle swarm optimization. (English)Zbl 1242.93054

MSC:  93C15 34A08 93A14
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### New properties for the Ramanujan-Göllnitz-Gordon continued fraction. (English)Zbl 1254.11008

MSC:  11A55 11P83
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### Sturmian expansions and entropy. (English)Zbl 1286.37003

MSC:  37A05 37A35 37B05 37A45
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### On Minkowski diagonal functions for two real numbers. (English)Zbl 1296.11091

Amou, Masaaki (ed.) et al., Diophantine analysis and related fields 2011, DARF–2011. Proceedings of the conference, Musashino, Tokyo, Japan, March 3–5, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0947-7/pbk). AIP Conference Proceedings 1385, 42-48 (2011).
MSC:  11J70 11A55
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### Searching discriminants with large fundamental units via continued fraction expansion. (English)Zbl 1307.11012

Amou, Masaaki (ed.) et al., Diophantine analysis and related fields 2011, DARF–2011. Proceedings of the conference, Musashino, Tokyo, Japan, March 3–5, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0947-7/pbk). AIP Conference Proceedings 1385, 38-41 (2011).
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### Congruences modulo 4 of calibers of real quadratic fields. (English. French summary)Zbl 1270.11104

MSC:  11R11 11R29
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### On the sum of reciprocal Tribonacci numbers. (English)Zbl 1249.11025

MSC:  11B39 11A55

MSC:  11D45

### Continued fractions of matrices and expansions of special functions. (Fractions continues de matrices et développements de certaines fonctions spéciales.) (French. English summary)Zbl 1242.40002

MSC:  40A15 15A60 47A63

### Continued fractions related to $$(t,q)$$-tangents and variants. (English)Zbl 1230.05050

MSC:  05A30 05A10 11A55
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### The mean number of steps in the Euclidean algorithm with odd partial quotients. (English. Russian original)Zbl 1257.11007

Math. Notes 88, No. 4, 574-584 (2010); translation from Mat. Zametki 88, No. 4, 594-604 (2010).
MSC:  11A55 11K50 11N37
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### Approximations to two real numbers. (English)Zbl 1249.11064

MSC:  11J70 11A55
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MSC:  11J70
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### A local high-order doubly asymptotic open boundary for diffusion in a semi-infinite layer. (English)Zbl 1425.76230

MSC:  76R50 76M25
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### A continued-fraction approach for transient diffusion in unbounded medium. (English)Zbl 1228.76080

MSC:  76M10 76R50 26A33
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### Diophantine approximations of tanh, tan and linear forms of $$e$$ in terms of integrals. (English)Zbl 1199.11098

MSC:  11J70 11A55 33F05

### Renewal-type limit theorem for continued fractions with even partial quotients. (English)Zbl 1193.37013

MSC:  37A45 11K50
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### Continued fraction expansions and permutative representations of the Cuntz algebra $$\mathcal O_\infty$$. (English)Zbl 1202.46065

MSC:  46L05 11A55
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