## Found 107 Documents (Results 1–100)

100
MathJax

### Several continued fraction expansions of generalized Cauchy numbers. (English)Zbl 1486.11009

MSC:  11A55 11B68 05A19
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### Continued fraction expansions of the generating functions of Bernoulli and related numbers. (English)Zbl 1461.11020

MSC:  11A55 11B68
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### On the factorization of two adjacent numbers in multiplicatively closed sets generated by two elements. (English)Zbl 1450.11004

MSC:  11A55 11K60
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### Continued fractions arising from $$\mathcal F_{1,3}$$. (English)Zbl 1429.11016

MSC:  11A55 11J70
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### Simplex-karyon algorithm of multidimensional continued fraction expansion. (English. Russian original)Zbl 1396.11102

Proc. Steklov Inst. Math. 299, 268-287 (2017); translation from Tr. Mat. Inst. Steklova 299, 283-303 (2017).
MSC:  11K50
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### Addendum to “Two theorems concerning rational approximations”. (English)Zbl 1390.00054

MSC:  00A65 11J70 11J71
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### On higher-dimensional Fibonacci numbers, Chebyshev polynomials and sequences of vector convergents. (English. French summary)Zbl 1401.11032

MSC:  11B39 11J70 33C45
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### On error sum functions for approximations with arithmetic conditions. (English)Zbl 1407.11086

Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 121-140 (2016).
MSC:  11J04 11J70
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### Variations on an error-sum function for the convergents of some powers of $$e$$. (English)Zbl 1415.11096

MSC:  11J70 11A55
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### Continued fractions arising from $$\mathcal{F}_{1,2}$$. (English)Zbl 1333.11008

MSC:  11A55 11K50
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### Formulas for rational interpolation and remainders. (English. Russian original)Zbl 1314.41001

Math. Notes 96, No. 6, 767-776 (2014); translation from Mat. Zametki 96, No. 5, 762-772 (2014).
MSC:  41A05 41A20 41A21
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### Hurwitzian continued fractions containing a repeated constant and an arithmetic progression. (English)Zbl 1379.11006

MSC:  11A55 05A15 30B70
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### Scaling analyses based on wavelet transforms for the Talbot effect. (English)Zbl 1395.94059

MSC:  94A08 65T60
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### Diophantine approximation with partial sums of power series. (English)Zbl 1318.11088

MSC:  11J68 11J17 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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### Leaping convergents of Tasoev continued fractions. (English)Zbl 1255.05022

MSC:  05A19 11A55 11J70
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### Leaping convergents of Hurwitz continued fractions. (English)Zbl 1255.05021

MSC:  05A19 11A55 11J70
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MSC:  11J70
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### Four-term leaping recurrence relations. (English)Zbl 1203.39002

MSC:  39A06 11B39
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### Some combinatorial properties of the leaping convergents. II. (English)Zbl 1203.11010

MSC:  11A55 05A19 11J70

### Explicit formulae for the continued fraction convergents of $$\sqrt D$$. (English)Zbl 1292.97015

MSC:  97F60 97I30 11A55
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### Intermediate convergents and a metric theorem of Khinchin. (English)Zbl 1171.11045

MSC:  11K50 11B57 60G46
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### Approximations to $$\pi$$ derived from integrals with nonnegative integrands. (English)Zbl 1179.26008

MSC:  26A18 65D30 11Y60
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### Which partial sums of the Taylor series for $$e$$ are convergents to $$e$$? (and a link to the primes 2, 5, 13, 37, 463). (English)Zbl 1159.11004

Amdeberhan, Tewodros (ed.) et al., Tapas in experimental mathematics. AMS special session on experimental mathematics, New Orleans, LA, USA, January 5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4317-8/pbk). Contemporary Mathematics 457, 273-284 (2008).

### Leaping convergents of Hurwitz continued fractions. (English)Zbl 1144.11007

Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 130-143 (2008).
MSC:  11A55 11B37 11J70
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### A recurrence formula for leaping convergents of non-regular continued fractions. (English)Zbl 1132.05007

MSC:  11A55 11B37 11J70
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MSC:  11J82
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### Diophantine equations and cylindrical gears. (Spanish. English summary)Zbl 1381.11020

MSC:  11D04 11A55

MSC:  11J70
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### On Newton’s method and rational approximations to quadratic irrationals. (English)Zbl 1080.11007

MSC:  11A55 11J70
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### An analogue of Vahlen’s theorem for simultaneous approximations of a pair of numbers. (English. Russian original)Zbl 1080.11051

Sb. Math. 194, No. 7, 955-967 (2003); translation from Mat. Sb. 194, No. 7, 3-14 (2003).
MSC:  11J13 11H46 11J70
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### The Euler-Minding analogon and other identities for continued fractions in Banach spaces. (English)Zbl 1130.30300

MSC:  30B70 39A05 46H99

MSC:  11J70
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MSC:  11A55

### A method for accurate computation of the rotation and the twist numbers of invariant circles. (English)Zbl 1006.37029

MSC:  37J10 37E40 53D05 37E45
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MSC:  11A55
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MSC:  11A55

### On the growth of the denominators of convergents. (English)Zbl 0928.11007

Reviewer: Péter Kiss (Eger)
MSC:  11A55 11J70
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### A natural continuous interpolating structure for continued fractions. (English)Zbl 0945.40002

Reviewer: P.Wynn (México)
MSC:  40A15 30B70 30D05
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### Additive partitions and continued fractions. (English)Zbl 0936.11059

MSC:  11P81 11A55
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### Klein polygons and geometric diagrams. (English)Zbl 0904.11018

Murty, V. Kumar (ed.) et al., Number theory. Proceedings of the international conference on discrete mathematics and number theory, Tiruchirapalli, India, January 3–6, 1996 on the occasion of the 10th anniversary of the Ramanujan Mathematical Society. Providence, RI: American Mathematical Society. Contemp. Math. 210, 365-372 (1998).
Reviewer: G.Ramharter (Wien)

### Some remarks on a probability limit theorem for continued fractions. (English)Zbl 0863.11048

MSC:  11K50 60F17 11K60
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### Small values of indefinite binary quadratic forms. (English)Zbl 0859.11041

Berndt, Bruce C. (ed.) et al., Analytic number theory. Vol. 1. Proceedings of a conference in honor of Heini Halberstam, May 16-20, 1995, Urbana, IL, USA. Boston, MA: Birkhäuser. Prog. Math. 138, 397-409 (1996).
MSC:  11H50

### Metrical theory for Farey continued fractions. (English)Zbl 0880.11057

Reviewer: P.Szüsz (Glen)
MSC:  11K50

### A recurrence formula for the Bernoulli numbers. (English)Zbl 0854.11012

MSC:  11B68 11B37
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MSC:  11K55
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### Continued fractions and series. (English)Zbl 0832.11002

MSC:  11A55 11J70
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### Short periods of continued fraction convergents modulo $$m$$: A generalization of the Fibonacci case. (English)Zbl 0829.11010

Reviewer: Péter Kiss (Eger)
MSC:  11B50 11A55

### A geometric method for the approximation by nearest integer continued fractions. (Eine geometrische Methode bei der Approximation durch Kettenbrüche nach dem nächsten Ganzen.) (German)Zbl 0837.11003

MSC:  11A55 11J70
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### The best approximation function to irrational numbers. (English)Zbl 0811.11050

MSC:  11J70 11J04
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### On symmetric and asymmetric diophantine approximation by continued fractions. (English)Zbl 0794.11031

MSC:  11J70 11K50
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### A note on asymmetric approximation. (English)Zbl 0871.11048

MSC:  11J70 11J04 11A55

### Approximation of irrational numbers by continued fractions. (English)Zbl 0787.11029

MSC:  11J70 11A55

### Approximation by nearest integer continued fractions. (English)Zbl 0787.11028

MSC:  11J70 11J04
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MSC:  11J70

### Sur la longueur du développement en fraction continue de $$\sqrt{f(n)}$$. (On the length of the continued fraction expansion of $$\sqrt {f(n)}$$). (French)Zbl 0763.11026

Journées arithmétiques, Exp. Congr., Luminy/Fr. 1989, Astérisque 198-200, 107-119 (1991).
MSC:  11J70 11A55 13F25

MSC:  11J70

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### Sur le développement en fractions continues à quotients partiels impairs. (On the development of continued fractions with odd partial quotients.). (French)Zbl 0713.11052

MSC:  11K50 11A55 11J70
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### On the approximation by continued fractions. II. (English)Zbl 0702.11039

Reviewer: G.Larcher
MSC:  11J70
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### Some inequalities for Diophantine approximation by continued fractions. (English)Zbl 0684.10029

Reviewer: G.Ramharter
MSC:  11J04 11J70
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### Matrix representation of continued fractions and its use in parallel computation algorithms. (English. Russian original)Zbl 0800.68521

Cybernetics 25, No. 4, 459-464 (1989); translation from Kibernetika 1989, No. 4, 33-36 (1989).
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### A Diophantine inequality of continued fractions. (English)Zbl 0703.11029

Reviewer: G.Köhler
MSC:  11J70 11A55

### Algorithms with mediant convergents and their metrical theory. (English)Zbl 0702.11046

Reviewer: F.Schweiger
MSC:  11K50 11K60 28D05

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### Symmetric and asymmetric Diophantine approximation of continued fractions. (English)Zbl 0684.10030

Reviewer: G.Ramharter
MSC:  11J70 11J04 11J99
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### The conjugate property for Diophantine approximation of continued fractions. (English)Zbl 0663.10007

Reviewer: G.Köhler
MSC:  11A55 11J04
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### Metric diophantine approximation with two restricted variables. II: A prime and a square-free integer. (English)Zbl 0655.10048

Reviewer: M.-C.Liu
MSC:  11K60 11J70 11J04
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### Metric diophantine approximation with two restricted variables. I: Two square-free integers, or integers in arithmetic progressions. (English)Zbl 0655.10047

Reviewer: M.-C.Liu
MSC:  11K60 11J70 11J04
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### Segre’s theorem on asymmetric diophantine approximation. (English)Zbl 0645.10009

MSC:  11J70 11J04 11A55
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### A theorem on approximation of irrational numbers by simple continued fractions. (English)Zbl 0645.10008

MSC:  11J70 11J04 11A55
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### Optimal continued fractions. (English)Zbl 0638.10034

Reviewer: H.Jager
MSC:  11J70 11K16

### A property of numbers equivalent to the golden mean. (English)Zbl 0617.10006

Reviewer: L.Kuipers
MSC:  11A55 11B37 11J70

### Efficient estimates of the denominators of the convergents of continued fractions of algebraic numbers. (English)Zbl 0635.10028

MSC:  11J68 11J70
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### Newton’s method and simple continued fractions. (English)Zbl 0603.10007

Reviewer: T.Tonkov
MSC:  11A55

### The distribution of certain sequences connected with the continued fraction. (English)Zbl 0588.10061

Reviewer: F.Schweiger
MSC:  11K16 28D05

### On the proof of continued fraction expansions for irrationals. (English)Zbl 0584.10005

Reviewer: G.Köhler
MSC:  11A55
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MSC:  65G50
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### Continued fraction expansions and the Legendre polynomials. (English)Zbl 0565.10010

MSC:  11A55 11J70 33C55
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### On natural extensions of transformations related to diophantine approximations. (English)Zbl 0623.10008

Number theory and combinatorics, Proc. Conf., Tokyo/Jap., Okayama/Jap. and Kyoto/Jap. 1984, 185-207 (1985).
MSC:  11K50 28D05

### Metrical results for the nearest integer continued fraction. (English)Zbl 0581.10027

Reviewer: F.Schweiger
MSC:  11K16 28D05

Reviewer: P.Kiss
MSC:  11J70

### A property of convergents to the golden mean. (English)Zbl 0558.10009

Reviewer: L.Kuipers
MSC:  11B37 11A55 11J70

### An approach to an arithmetic analog of Berlekamp’s algorithm. (English)Zbl 0556.10004

MSC:  11A63 94B40
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### A continual analog of continued fractions. (English. Russian original)Zbl 0579.40001

Ukr. Math. J. 34, 450-455 (1983); translation from Ukr. Mat. Zh. 34, No. 5, 559-564 (1982).
Reviewer: P.Wynn
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### On strong irregularities of the distribution of $$\{n\alpha\}$$ sequences. (English)Zbl 0519.10047

Studies in Pure Mathematics, Mem. of P. Turán, 685-700 (1983).
MSC:  11K38 11K06

### Some metrical observations on the approximation by continued fractions. (English)Zbl 0519.10043

MSC:  11K65 11K50 11J70

### Divisors of convergents of a continued fraction. (English)Zbl 0513.10008

MSC:  11A55 11J70
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### A characterization of the semiregular continued fractions which represent quadratic irrationals. (English)Zbl 0507.10027

MSC:  11J04 11J70 11A55
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### A generalization of the Hurwitz theorem. (Chinese. English summary)Zbl 0565.10028

MSC:  11J70 11J04

### Discussion of algorithms for the computation of generalized continued fractions. (English)Zbl 0514.65005

MSC:  65D15 65Q05 65B05 40A15
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### P-adic reconstruction of rational numbers. (English)Zbl 0489.68032

MSC:  68W30 11A63 11A55
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### Remarkable fractions. (Zamechatel’nye drobi). (Russian)Zbl 0527.10008

Minsk: Izdatel’stvo ”Vyshejshaya Shkola”. 126 p. R. 0.20 (1980).
MSC:  11A55 11-01

### Sur la densite naturelle des nominateurs des reduites des fractions continues régulières. (French)Zbl 0458.10009

MSC:  11A55 11K16

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