## Found 6,539 Documents (Results 1–100)

100
MathJax

### Multi-dimensional Kronecker sequences with a small number of gap lengths. (English. Russian original)Zbl 07524577

Discrete Math. Appl. 32, No. 1, 69-74 (2022); translation from Diskretn. Mat. 33, No. 4, 11-18 (2021).
MSC:  11-XX 68-XX
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MSC:  68Qxx
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### On upper and lower fast Khintchine spectra of continued fractions. (English)Zbl 07524170

MSC:  11K50 37E05 28A80
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### An entropy problem of the $$\alpha$$-continued fraction maps. (English)Zbl 07522834

MSC:  11J70 11K50 37A10
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### On Schneider’s continued fraction map on a complete non-Archimedean field. (English)Zbl 07507214

MSC:  11K50 11A55 11J70
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### Calculations of the invariant measure for Hurwitz continued fractions. (English)Zbl 07507091

MSC:  37M25 11Y65 11K50
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MSC:  11A55
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### Rational approximations to two irrational numbers. (English)Zbl 07503361

MSC:  11J06 11J70
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### Big Birkhoff sums in $$d$$-decaying Gauss like iterated function systems. (English)Zbl 07500274

MSC:  11K50 37E05 28A80
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### On the Diophantine equation $$P_m=P_n^x+P_{n+1}^x$$ with Padovan numbers. (English)Zbl 07493127

MSC:  11D61 11J86
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MSC:  30B70
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### Metric theory of partial quotients of $$N$$-continued fractions. (English)Zbl 07490708

MSC:  11K50 11K55 11J70
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### Lagrange spectrum of a circle over the Eisensteinian field. (English)Zbl 07463836

MSC:  11J06 11J70
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### Necessary and sufficient conditions for convergence of integer continued fractions. (English)Zbl 07453358

MSC:  40A15 11A55
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### David Hilbert’s lectures on the foundations of arithmetic and logic 1894–1917 (to appear). (English)Zbl 06750649

Berlin: Springer (ISBN 978-3-540-20605-7/hbk). 690 p. (2022).

### Explicit evaluation of ratios of theta functions. (English)Zbl 07524179

MSC:  11J70 14K25
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### Interpolation rational integral fraction of the Hermitian-type on a continual set of nodes. (English)Zbl 07509984

MSC:  41A05 41A10 40A15
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### Non-commutative methods in additive combinatorics and number theory. (English. Russian original)Zbl 07503406

Russ. Math. Surv. 76, No. 6, 1065-1122 (2021); translation from Usp. Mat. Nauk 76, No. 6, 119-180 (2021).
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### Polynomials with small values in the neighborhoods of zeros in archimedean and non-archimedean metrics. (Russian. English summary)Zbl 1483.11149

MSC:  11J83 11J61 11K50
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MSC:  30B70

### On the ergodic theory of Tanaka-Ito type $$\alpha$$-continued fractions. (English)Zbl 07497792

MSC:  11K50 11J70
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### On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental $$S$$-units of degree at most 11. (English. Russian original)Zbl 1482.11096

Dokl. Math. 104, No. 2, 258-263 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 45-51 (2021).
MSC:  11J70 11R58 11R27
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### Being rational about algebraic numbers. (English)Zbl 07486787

MSC:  11J68 11J70
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### On the classification problem for polynomials $$f$$ with a periodic continued fraction expansion of $$\sqrt{f}$$ in hyperelliptic fields. (English. Russian original)Zbl 1483.11123

Izv. Math. 85, No. 5, 972-1007 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 5, 152-189 (2021).
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### Stationary points of the Minkowski function. (English. Russian original)Zbl 07483849

Sb. Math. 212, No. 10, 1347-1359 (2021); translation from Mat. Sb. 212, No. 10, 3-15 (2021).
MSC:  11A55 26A24 26A30
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### Parabolic convergence regions of branched continued fractions of the special form. (English)Zbl 07482099

MSC:  30B70 40A15
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### Interpolational $$(L,M)$$-rational integral fraction on a continual set of nodes. (English)Zbl 1480.40003

MSC:  40A15 41A05 41A10
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### Generalized continued fraction expansions for $$\pi$$ and $$e$$. (English)Zbl 07479275

MSC:  11Y65 30B70
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### Some new properties of the Barnes $$G$$-function and related results. (English)Zbl 07472244

MSC:  33B15 26A48 11A55
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### The difference between the Hurwitz continued fraction expansions of a complex number and its rational approximations. (English)Zbl 1483.11146

MSC:  11J83 11K55 11K50
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### On the largest partial quotients in continued fraction expansions. (English)Zbl 1483.11159

MSC:  11K50 11K16 11J70
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### An analogue of Pillai’s theorem for continued fraction normality and an application to subsequences. (English)Zbl 07456949

MSC:  11K50 11B83 37A44
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### Fermat’s two squares theorem for a prime $$p \equiv 1 (\operatorname{mod} 4)$$. (English)Zbl 1477.11206

MSC:  11Y11 11A07 11A55
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### Fractions: to be continued. (English)Zbl 07439000

IAS/PCMI. The Teacher Program Series 8. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6293-2/pbk; 978-1-4704-6820-0/ebook). xi, 126 p. (2021).
MSC:  11-01 11A55

### Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation. (English)Zbl 1480.11166

MSC:  11Y65 34B24 65L20
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### Some exceptional sets of Borel-Bernstein theorem in continued fractions. (English)Zbl 1481.11078

MSC:  11K50 28A80
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### Metrical problems in Diophantine approximation. (English)Zbl 07438219

MSC:  11K60 11K50
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### Continued fractions and Diophantine equations in positive characteristic. (English)Zbl 07438069

MSC:  11J61 11J70
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### Explicit evaluation formula for Ramanujan’s singular moduli and Ramanujan-Selberg continued fractions. (English)Zbl 1483.11013

MSC:  11A55 33E05
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### A generalization of the Gauss-Kuzmin-Wirsing constant. (English)Zbl 1483.11142

MSC:  11J70 11K50 37C30
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### On fundamental $$S$$-units and continued fractions constructed in hyperelliptic fields using two linear valuations. (English. Russian original)Zbl 1475.11133

Dokl. Math. 103, No. 3, 151-156 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 65-70 (2021).
MSC:  11J70 11R58 11R27
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### Apéry limits: experiments and proofs. (English)Zbl 07423059

MSC:  11B37 11B83 11A55
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### Transient behavior of a single-server Markovian queue with balking and working vacation interruptions. (English)Zbl 07421467

MSC:  60K25 90B22 68M20
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### Simultaneous approximations to $$p$$-adic numbers and algebraic dependence via multidimensional continued fractions. (English)Zbl 1480.11089

MSC:  11J61 11J70 12J25
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MSC:  30B70
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### A gap of the exponents of repetitions of Sturmian words. (English)Zbl 07412282

MSC:  68R15 11A55 11A63
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### Reversing the paths in the Ducci tree. (English)Zbl 07409812

MSC:  11B75 39A60 11A55
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### On Gelfond-type problem for generalized Zeckendorf representations. (Russian. English summary)Zbl 1482.11017

MSC:  11A63 11B39 11A67
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### Sharpening of the theorem of Vahlen and related theorems. (English)Zbl 1483.11141

MSC:  11J70 11J82
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### $$\mathbb{M}\backslash \mathbb{L}$$ near 3. (English)Zbl 07406864

MSC:  11J06 11A55
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### Functional analysis behind a family of multidimensional continued fractions. II. (English)Zbl 07399119

MSC:  11J70 11A55 37C30
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### A strengthening of the Bourgain-Kontorovich method: three new theorems. (English. Russian original)Zbl 1481.11073

Sb. Math. 212, No. 7, 921-964 (2021); translation from Mat. Sb. 212, No. 7, 39-83 (2021).
MSC:  11J70 11A55
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### Symmetries of a two-dimensional continued fraction. (English. Russian original)Zbl 1469.11232

Izv. Math. 85, No. 4, 666-680 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 4, 53-68 (2021).
MSC:  11J70 11H46
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### The derivative of the Minkowski function. (English. Russian original)Zbl 07396672

Izv. Math. 85, No. 4, 621-665 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 4, 5-52 (2021).
MSC:  11A55 26A24 26A30
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### Hausdorff dimension of sets of numbers with large Lüroth elements. (English)Zbl 1469.11250

MSC:  11K55 11K50
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### Continued fractions and signal processing. (English)Zbl 07393627

Springer Undergraduate Texts in Mathematics and Technology. Cham: Springer (ISBN 978-3-030-84359-5/hbk; 978-3-030-84360-1/ebook). xvii, 263 p. (2021).
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MSC:  68Qxx
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### Criteria for apwenian sequences. (English)Zbl 1471.11115

MSC:  11B85 11C20 11B50
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### A transcendental unbounded continued fraction expansions over a finite field. (English)Zbl 1468.11159

MSC:  11J70 11A55
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### A continuity of cycle integrals of modular functions. (English)Zbl 1477.11070

MSC:  11F03 11F11
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### On Kolmogorov’s converse inequality for dependent random variables. (English)Zbl 1470.60073

MSC:  60E15 60F15
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### Several continued fraction expansions of generalized Cauchy numbers. (English)Zbl 07381208

MSC:  11A55 11B68 05A19
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### $$q$$-deformations in the modular group and of the real quadratic irrational numbers. (English)Zbl 1480.11012

MSC:  11A55 05A30 11F06
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### On some continued fractions and series. (English)Zbl 07377589

MSC:  11A55 11J81
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