Found 91 Documents (Results 1–91)
A distribution related to Farey series. (Russian. English summary) Zbl 1536.11042
Modular symbols and Petersson’s product. (Symboles modulaires et produit de Petersson.) (French. English summary) Zbl 1468.11098
New insight into results of Ostrowski and Lang on sums of remainders using Farey sequences. (English) Zbl 1478.11024
Series expansions for Maass forms on the full modular group from the Farey transfer operators. (English) Zbl 1458.11071
Exploring continued fractions. From the integers to solar eclipses. (English) Zbl 1496.11009
AMS/MAA Dolciani Mathematical Expositions 53. Providence, RI: MAA Press/American Mathematical Society (AMS) (ISBN 978-1-4704-6128-7/pbk; 978-1-4704-5156-1/ebook). xix, 480 p. (2019).
Reviewer: Franz Lemmermeyer (Jagstzell)
Mojette transform on densest lattices in 2D and 3D. (English) Zbl 1430.94034
Kropatsch, Walter G. (ed.) et al., Discrete geometry for computer imagery. 20th IAPR international conference, DGCI 2017, Vienna, Austria, September 19–21, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10502, 159-170 (2017).
A new method of coding geodesics on surfaces whose fundamental regions consist of the union of elementary triangles derived from the Farey series. (English) Zbl 1359.94231
A fast computation of the best \(k\)-digit rational approximation to a real number. (English) Zbl 1355.65038
Reviewer: Adhemar Bultheel (Leuven)
Łojasiewicz exponents and Farey sequences. (English) Zbl 1355.14004
Reviewer: Tadeusz Krasiński (Łódź)
On the asymptotic distribution of algebraic numbers with growing naive height. (Russian. English summary) Zbl 1437.11135
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation. (English) Zbl 1311.76111
A class of arithmetic functions on \(\mathrm{PSL}_2(\mathbb{Z})\). (English) Zbl 1285.11011
Reviewer: Krassimir Atanassov (Sofia)
On the distribution of small denominators in the Farey series of order \(N\). (English) Zbl 1343.11026
Kotsireas, Ilias S. (ed.) et al., Advances in combinatorics. In part based on the 3rd Waterloo workshop on computer algebra (WWCA, W80) 2011, Waterloo, Canada, May 26–29, 2011. Dedicated to Herbert Saul Wilf on the occasion of his 80th birthday. Berlin: Springer (ISBN 978-3-642-30978-6/hbk; 978-3-642-30979-3/ebook). 275-286 (2013).
Reviewer: Alexey Ustinov (Khabarovsk)
Some new proofs for a sum of Euler. (Chinese. English summary) Zbl 1249.11029
MSC:
11B57
Finitely presented MV-algebras with finite automorphism group. (English) Zbl 1204.06006
Reviewer: Claudia Mureşan (Rîmnicu Vîlcea)
New inequalities on the homogeneous functions. (English) Zbl 1216.26017
J. Indones. Math. Soc. 15, No. 1, 49-59 (2009); corrigendum ibid. 21, No. 1, 71-72 (2015).
Oscillations, pseudorandomness and Hecke \(L\)-functions. (English) Zbl 1208.11104
Reviewer: Florin Nicolae (Berlin)
On some properties of modular polynomials for the lambda function. (English. Russian original) Zbl 1176.30013
Math. Notes 86, No. 2, 216-233 (2009); translation from Mat. Zametki 86, No. 2, 237-255 (2009).
MSC:
30C10
Generating and zeta functions, structure, spectral and analytic properties of the moments of the Minkowski question mark function. (English) Zbl 1170.11028
Ambiguity in the determination of the free energy associated with the critical circle map. (English) Zbl 1178.37041
On the Farey series and the Hecke \(L\)-functions. (English) Zbl 1163.11013
Reviewer: Cem Yalçin Yıldırım (Istanbul)
On Riemann sums. (English) Zbl 1195.42043
Euler products, Farey series, and the Riemann hypothesis. II. (English) Zbl 1121.11016
Reviewer: Lajos Hajdu (Debrecen)
On generalized Hardy sums \(s_5(h,k)\). (English) Zbl 1072.11030
Ukr. Mat. Zh. 56, No. 10, 1434-1440 (2004) and Ukr. Math. J. 56, No. 10, 1712-1719 (2004).
Abelian theorems, Farey series and the Riemann hypothesis. (English) Zbl 1070.11041
Reviewer: K.-M. Tsang (Hong Kong)
The \(1/2\)-complex Bruno function and the Yoccoz function: a numerical study of the Marmi-Moussa-Yoccoz conjecture. (English) Zbl 1173.37324
The Hausdorff dimension of fractal sets and fractional quantum Hall effect. (English) Zbl 1033.28004
The jumping champions of the Farey series. (English) Zbl 1034.11013
Reviewer: E. Krätzel (Wien)
A \(p\times p\) bit fraction model of binary floating point division and extremal rounding cases. (English) Zbl 1064.68006
MSC:
68M07
A generating function technique for Beatty sequences and other step sequences. (English) Zbl 1044.11009
Reviewer: Štefan Porubský (Praha)
On the Farey series and outer zeros of partition polynomials. (English) Zbl 1084.30005
Reviewer: Jeremy Lovejoy (Paris)
Farey series and the Riemann hypothesis. IV. (English) Zbl 0980.11036
Reviewer: Daniel Goldston (San José)
Some sums involving Farey fractions. II. (English) Zbl 1012.11018
Reviewer: Štefan Porubský (Praha)
On local frequencies related to Farey fractions. (English. Russian original) Zbl 0988.11038
Lith. Math. J. 40, No. 1, 89-103 (2000); translation from Liet. Mat. Rink. 40. No. 1, 113-131 (2000).
Reviewer: I.Z.Ruzsa (Budapest)
Farey series and the Riemann hypothesis. (English) Zbl 0860.11047
Reviewer: A.Perelli (Genova)
Farey arcs and series. (Russian) Zbl 0893.11040
Kuz’mina, G. V. (ed.) et al., Analytical number theory and function theory. 13. Work collection. Dedicated to the 80th birthday of Yu. V. Linnik. Sankt-Peterburg: Nauka. Zap. Nauchn. Semin. POMI. 226, 52-59 (1996).
Reviewer: Matti Jutila (Turku)
The order of appearance of oscillation modes of a piecewise linear map. (English) Zbl 0955.37026
MSC:
37G99
Farey arcs and series. (English. Russian original) Zbl 0898.11039
The representation of rational numbers by terminating continued fractions. (English. Russian original) Zbl 0879.11002
Russ. Math. Surv. 51, No. 4, 736-738 (1996); translation from Usp. Mat. Nauk 51, No. 4, 159-160 (1996).
Reviewer: T.Tonkov (Sofia)
Computational contributions on Franel’s sum relevant to Farey sequences. (English) Zbl 0922.11011
van der Poorten, Alf J. (ed.) et al., Proceedings of the international conference on number theoretic and algebraic methods in computer science, NTAMCS ’93, Moscow, Russia, June/July 1993. Singapore: World Scientific. 181-184 (1995).
Reviewer: Alex Bijlsma (Utrecht)
A shift and cut GCD algorithm. (English) Zbl 0847.11064
Reviewer: J.Sorenson (Indianapolis)
On the asymptotic behaviour of Franel’s sum and the Riemann hypothesis. (English) Zbl 0758.11011
Reviewer: P.Shiu (Loughborough)
Circle maps: Irrationally winding. (English) Zbl 0796.58022
Waldschmidt, Michel (ed.) et al., From number theory to physics. Lectures of a meeting on number theory and physics held at the Centre de Physique, Les Houches (France), March 7-16, 1989. Berlin: Springer-Verlag. 631-658 (1992).
Reviewer: Ľ.Snoha (Banská Bystrica)
On a problem of Dinaburg and Sinai. (English) Zbl 0779.11032
Reviewer: Gerhard Larcher (Salzburg)
Farey series and sums of continued fractions. (English) Zbl 0763.11028
Discrete groups and geometry, Proc. Conf., Birmingham/UK 1991, Lond. Math. Soc. Lect. Note Ser. 173, 165-170 (1992).
Reviewer: G.Larcher (Salzburg)
Determination of Fermat varieties with trivial Hasse-Witt map. An application of the Farey series. (English) Zbl 0707.14017
Reviewer: R.Sasaki; K.Toki
MSC:
14G20
Pacemaker and Farey series. (Stimulateur cardiaque et suites de Farey.) (French) Zbl 0763.11007
Reviewer: Peter Hellekalek (Salzburg)
From approximants to quasicrystals: A non-standard approach. (English) Zbl 0729.11008
Number theory and physics, Proc. Winter Sch., Les Houches/Fr. 1989, Springer Proc. Phys. 47, 111-117 (1990).
Reviewer: J.-P.Allouche (Bordeaux)
The \(W\) sequence for circle maps and misbehaved itineraries. (English) Zbl 0706.58018
Reviewer: U.D’Ambrosio
J. J. Sylvester, Johns Hopkins and partitions. (English) Zbl 0669.01011
A century of mathematics in America, Pt. I, Hist. Math. 1, 21-40 (1989).
Reviewer: T.Thrivikraman
Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras. (English) Zbl 0678.06008
Reviewer: S.Hurd
Regular dependence of invariant curves and Aubry-Mather sets of twist maps of an annulus. (English) Zbl 0672.58021
Reviewer: A.Klíč
On the divisor and circle problems. (English) Zbl 0644.10031
Reviewer: A.Ivić
The Farey series of polynomials over a finite field. (English) Zbl 0591.10027
Reviewer: Harald Niederreiter (Wien)
Collage de cycles et suites de Farey. (Gluing of cycles and Farey series). (French) Zbl 0591.58023
Reviewer: L.Erbe
MSC:
37G99
Spirograph theory: A framework for calculations on digitized straight lines. (English) Zbl 0545.68098
Fareysche Folgen und Sektorengitter. (German) Zbl 0514.10005
Reviewer: Werner Georg Nowak (Wien)
MSC:
11B57
On some sums involving Farey fractions. (English) Zbl 0392.10013
Reviewer: Hansraj Gupta
MSC:
11B57
Number theory. (Zahlentheorie.) (German) Zbl 0328.10001
Studia Mathematica/Mathematische Lehrbücher. Band XXIX. Göttingen: Vandenhoeck & Ruprecht. 219 S. DM 39.00 (1976).
Reviewer: Herbert Pieper (Berlin)
Some properties of the Farey series. (English) Zbl 0165.05603
Reviewer: J. D. Maitland Wright
MSC:
11B57
Sums associated with Farey series. (English) Zbl 0157.08703
Reviewer: M. M. Robertson
MSC:
11B57
Übertragung des Kreisproblems auf reell-quadratische Zahlkörper. (German) Zbl 0099.03603
Reviewer: Otto Körner
Ramanujan. Twelve lectures on subjects suggested by his life and work. Reprint. (English) Zbl 0086.26202
New York: Chelsea Publishing Company. 236 p. (1959).
Reviewer: Edmund Hlawka (Wien)
Über ein Problem mit Fareybrüchen. (German) Zbl 0081.27204
Österr. Akad. Wiss., Math.-Naturw. Kl., Anz. 1957, 267-268 (1957); Nachtrag 1958, 222-223 (1958).
Reviewer: W. Verdenius
MSC:
11B57
Rectangularpolar conversion tables. (English) Zbl 0070.13205
Royal Society Mathematical Tables. Vol. 2. London: Cambridge University Press, xxix, 120 pp. (1956).
Reviewer: H. Unger
MSC:
65A05
On a relation of the Farey series to the Riemann hypothesis on the zeros of the \(\zeta\) function. (Czech) Zbl 0059.03801
A note on Farey series. (English) Zbl 0061.12804
Reviewer: P.T.Bateman
MSC:
11B57
On neighbours of higher degree in Farey series. (English) Zbl 0061.06703
Reviewer: Dieter Gaier (Gießen)
MSC:
11B57
A mean value theorem concerning Farey series. (English) Zbl 0061.06702
Reviewer: Dieter Gaier (Gießen)
MSC:
11B57
Ramanujan: Twelve lectures on subjects suggested by his life and work. (English) Zbl 0025.10505
Cambridge: Univ. Press. vii, 236 p. (1940).
Some problems of ”Partitio Numerorum”. I: A new solution of Waring’s problem. (English) JFM 47.0114.02
Reviewer: Landau, Prof. (Göttingen)
Basic number theory. Part 2: Additive number theory. (Niedere Zahlentheorie. Zweiter Teil: Additive Zahlentheorie.) (German) JFM 41.0221.10
Leipzig: B. G. Teubner. x, 408 S. (1910).
Reviewer: Fueter, Prof. (Basel)
On the reduction of binary quadratic forms. (Ueber die Reduction der binären quadratischen Formen.) (German) JFM 25.0313.01
Reviewer: Meyer, F., Prof. (Clausthal)
Characteristic functions. (Fonctions énumératrices.) (Italian) JFM 18.0142.01
Reviewer: Simon, P., Dr. (Berlin)
On series of fractions analogous with Farey series. (Sur des suites de fractions, analogues à la suite de Farey.) (French) JFM 09.0120.03
Reviewer: Schemmel, Dr. (Berlin)
MSC:
11B57
Solution of the question 2558. (English) JFM 01.0047.01
Educ. Times. IX. 91-94 (1868).
MSC:
11B57
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