Baalbaki, Wael; Bonanno, Claudio; Del Vigna, Alessio; Garrity, Thomas; Isola, Stefano On integer partitions and continued fraction type algorithms. (English) Zbl 07812013 Ramanujan J. 63, No. 3, 873-915 (2024). MSC: 11P81 11J70 37E05 PDFBibTeX XMLCite \textit{W. Baalbaki} et al., Ramanujan J. 63, No. 3, 873--915 (2024; Zbl 07812013) Full Text: DOI arXiv
Chen, Huayang; Haynes, Alan Expected value of the smallest denominator in a random interval of fixed radius. (English) Zbl 1528.11061 Int. J. Number Theory 19, No. 6, 1405-1413 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11B57 PDFBibTeX XMLCite \textit{H. Chen} and \textit{A. Haynes}, Int. J. Number Theory 19, No. 6, 1405--1413 (2023; Zbl 1528.11061) Full Text: DOI arXiv
Paulsen, William Calkin-Wilf sequences for irrational numbers. (English) Zbl 1518.11021 Fibonacci Q. 61, No. 1, 51-59 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11B57 11A55 11D09 PDFBibTeX XMLCite \textit{W. Paulsen}, Fibonacci Q. 61, No. 1, 51--59 (2023; Zbl 1518.11021) Full Text: Link
Berthé, Valérie; Cesaratto, Eda; Rotondo, Pablo; Safe, Martín D. Lochs-type theorems beyond positive entropy. (English) Zbl 07673373 Monatsh. Math. 200, No. 4, 737-779 (2023). Reviewer: Simon Kristensen (Aarhus) MSC: 11K55 11K50 11B57 28D20 PDFBibTeX XMLCite \textit{V. Berthé} et al., Monatsh. Math. 200, No. 4, 737--779 (2023; Zbl 07673373) Full Text: DOI arXiv
Hida, Takanori On Mallows’ variation of the Stern-Brocot tree. (English) Zbl 1523.11042 J. Comb. 14, No. 3, 339-368 (2023). MSC: 11B57 11A55 PDFBibTeX XMLCite \textit{T. Hida}, J. Comb. 14, No. 3, 339--368 (2023; Zbl 1523.11042) Full Text: DOI
Richman, David Harry Lower rational approximations and Farey staircases. arXiv:2303.02935 Preprint, arXiv:2303.02935 [math.NT] (2023). MSC: 11B57 40A30 11J70 26D15 40A25 11B83 BibTeX Cite \textit{D. H. Richman}, ``Lower rational approximations and Farey staircases'', Preprint, arXiv:2303.02935 [math.NT] (2023) Full Text: arXiv OA License
Hatcher, Allen Topology of numbers. (English) Zbl 1502.11001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5611-5/pbk). ix, 341 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Exx 11R11 PDFBibTeX XMLCite \textit{A. Hatcher}, Topology of numbers. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1502.11001)
Demir, Bilal; Koruoğlu, Özden On parabolic and elliptic elements of the modular group. (English) Zbl 1510.20048 Turk. J. Math. 46, No. 7, 2751-2760 (2022). Reviewer: Nihal Özgür (Izmir) MSC: 20H10 11B57 11F06 PDFBibTeX XMLCite \textit{B. Demir} and \textit{Ö. Koruoğlu}, Turk. J. Math. 46, No. 7, 2751--2760 (2022; Zbl 1510.20048) Full Text: DOI
Boca, Florin P.; Siskaki, Maria A note on the pair correlation of Farey fractions. (English) Zbl 1508.11075 Acta Arith. 205, No. 2, 121-135 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J71 11B57 11K38 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{M. Siskaki}, Acta Arith. 205, No. 2, 121--135 (2022; Zbl 1508.11075) Full Text: DOI arXiv
Forst, Maxwell; Fukshansky, Lenny Counting basis extensions in a lattice. (English) Zbl 1501.11069 Proc. Am. Math. Soc. 150, No. 8, 3199-3213 (2022). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11C08 11C20 11D85 11D45 PDFBibTeX XMLCite \textit{M. Forst} and \textit{L. Fukshansky}, Proc. Am. Math. Soc. 150, No. 8, 3199--3213 (2022; Zbl 1501.11069) Full Text: DOI arXiv
Morier-Genoud, Sophie; Ovsienko, Valentin On \(q\)-deformed real numbers. (English) Zbl 1500.11006 Exp. Math. 31, No. 2, 652-660 (2022). Reviewer: Toufik Mansour (Haifa) MSC: 11A55 05A30 PDFBibTeX XMLCite \textit{S. Morier-Genoud} and \textit{V. Ovsienko}, Exp. Math. 31, No. 2, 652--660 (2022; Zbl 1500.11006) Full Text: DOI arXiv
Kushwaha, Seema; Sarma, Ritumoni Farey-subgraphs and continued fractions. (English) Zbl 1513.05273 Stud. Sci. Math. Hung. 59, No. 2, 164-182 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 05C63 11A55 11J70 PDFBibTeX XMLCite \textit{S. Kushwaha} and \textit{R. Sarma}, Stud. Sci. Math. Hung. 59, No. 2, 164--182 (2022; Zbl 1513.05273) Full Text: DOI arXiv
Akiyama, Shigeki Asymptotic formula for balanced words. (English) Zbl 1492.11137 J. Number Theory 236, 144-159 (2022). Reviewer: Kaisa Matomäki (Turku) MSC: 11N37 11B57 68R15 PDFBibTeX XMLCite \textit{S. Akiyama}, J. Number Theory 236, 144--159 (2022; Zbl 1492.11137) Full Text: DOI arXiv
Baier, Stephan; Singh, Rajneesh Kumar The large sieve with square moduli in function fields. (English) Zbl 1490.11083 J. Number Theory 235, 420-464 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L40 11N35 PDFBibTeX XMLCite \textit{S. Baier} and \textit{R. K. Singh}, J. Number Theory 235, 420--464 (2022; Zbl 1490.11083) Full Text: DOI arXiv
Weber, Michel J. G. On Farey sequence and quadratic Farey sums. (English) Zbl 1489.11151 Res. Number Theory 8, No. 1, Paper No. 14, 22 p. (2022). Reviewer: László Tóth (Pécs) MSC: 11N37 11M26 PDFBibTeX XMLCite \textit{M. J. G. Weber}, Res. Number Theory 8, No. 1, Paper No. 14, 22 p. (2022; Zbl 1489.11151) Full Text: DOI
Short, Ian; Stanier, Margaret Necessary and sufficient conditions for convergence of integer continued fractions. (English) Zbl 1492.40001 Proc. Am. Math. Soc. 150, No. 2, 617-631 (2022). Reviewer: M. P. Chaudhary (New Delhi) MSC: 40A15 11A55 PDFBibTeX XMLCite \textit{I. Short} and \textit{M. Stanier}, Proc. Am. Math. Soc. 150, No. 2, 617--631 (2022; Zbl 1492.40001) Full Text: DOI arXiv Link
Bonanno, Claudio; Del Vigna, Alessio Representation and coding of rational pairs on a triangular tree and Diophantine approximation in \(\mathbb R^2\). (English) Zbl 1495.11038 Acta Arith. 200, No. 4, 389-427 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 11B57 11J70 37A44 37E30 PDFBibTeX XMLCite \textit{C. Bonanno} and \textit{A. Del Vigna}, Acta Arith. 200, No. 4, 389--427 (2021; Zbl 1495.11038) Full Text: DOI arXiv
Kerins, Bowen; Yong, Darryl; Cuoco, Al; Stevens, Glenn Fractions: to be continued. (English) Zbl 1497.11002 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). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11A55 PDFBibTeX XMLCite \textit{B. Kerins} et al., Fractions: to be continued. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1497.11002)
Stakėnas, Vilius Sieving the rationals. (English) Zbl 1470.11242 Lith. Math. J. 61, No. 3, 401-412 (2021). MSC: 11N35 11K65 11N36 PDFBibTeX XMLCite \textit{V. Stakėnas}, Lith. Math. J. 61, No. 3, 401--412 (2021; Zbl 1470.11242) Full Text: DOI
Ford, Kevin Rough integers with a divisor in a given interval. (English) Zbl 1475.11166 J. Aust. Math. Soc. 111, No. 1, 17-36 (2021). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N25 62G30 PDFBibTeX XMLCite \textit{K. Ford}, J. Aust. Math. Soc. 111, No. 1, 17--36 (2021; Zbl 1475.11166) Full Text: DOI arXiv
Simoson, Andrew J. Ford circles strike gold. (English) Zbl 1473.11013 Am. Math. Mon. 128, No. 6, 500-512 (2021). Reviewer: Anton Shutov (Vladimir) MSC: 11A55 11B57 11J70 PDFBibTeX XMLCite \textit{A. J. Simoson}, Am. Math. Mon. 128, No. 6, 500--512 (2021; Zbl 1473.11013) Full Text: DOI
Deshouillers, Jean-Marc; Ubis, Adrián Integral points on convex curves. (English) Zbl 1480.11122 Ramanujan J. 53, No. 2, 399-422 (2020). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11P21 PDFBibTeX XMLCite \textit{J.-M. Deshouillers} and \textit{A. Ubis}, Ramanujan J. 53, No. 2, 399--422 (2020; Zbl 1480.11122) Full Text: DOI arXiv
Baier, Stephan; Kumar Singh, Rajneesh The large sieve inequality with square moduli for quadratic extensions of function fields. (English) Zbl 1465.11173 Int. J. Number Theory 16, No. 9, 1907-1922 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11L07 11L40 11R58 11N35 PDFBibTeX XMLCite \textit{S. Baier} and \textit{R. Kumar Singh}, Int. J. Number Theory 16, No. 9, 1907--1922 (2020; Zbl 1465.11173) Full Text: DOI arXiv
Hockman, Meira Geodesic Gaussian integer continued fractions. (English) Zbl 1452.11084 Mich. Math. J. 69, No. 2, 297-322 (2020). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 52C22 20G20 51M10 PDFBibTeX XMLCite \textit{M. Hockman}, Mich. Math. J. 69, No. 2, 297--322 (2020; Zbl 1452.11084) Full Text: DOI Euclid
Boca, Florin P.; Radziwiłł, Maksym Limiting distribution of eigenvalues in the large sieve matrix. (English) Zbl 1505.11108 J. Eur. Math. Soc. (JEMS) 22, No. 7, 2287-2329 (2020). MSC: 11L07 11B57 11N35 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{M. Radziwiłł}, J. Eur. Math. Soc. (JEMS) 22, No. 7, 2287--2329 (2020; Zbl 1505.11108) Full Text: DOI arXiv
Andritsch, Lukas A note on friezes of type \(\varLambda_p\). (English) Zbl 1440.51005 Discrete Math. 343, No. 7, Article ID 111880, 10 p. (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 51M20 05C99 PDFBibTeX XMLCite \textit{L. Andritsch}, Discrete Math. 343, No. 7, Article ID 111880, 10 p. (2020; Zbl 1440.51005) Full Text: DOI arXiv
Hockman, Meira The Farey octahedron graph, the Poincaré polyhedron theorem and Gaussian integer continued fractions. (English. French summary) Zbl 1437.05196 Ann. Math. Qué. 44, No. 1, 149-164 (2020). MSC: 05C70 05B45 52C22 20G20 11J70 PDFBibTeX XMLCite \textit{M. Hockman}, Ann. Math. Qué. 44, No. 1, 149--164 (2020; Zbl 1437.05196) Full Text: DOI
Haynes, Alan; Measures, Kayleigh Higher moments of distances between consecutive Ford spheres. (English) Zbl 1442.11037 J. Number Theory 212, 88-104 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11B57 11N56 11P21 PDFBibTeX XMLCite \textit{A. Haynes} and \textit{K. Measures}, J. Number Theory 212, 88--104 (2020; Zbl 1442.11037) Full Text: DOI arXiv
Morier-Genoud, Sophie; Ovsienko, Valentin \(q\)-deformed rationals and \(q\)-continued fractions. (English) Zbl 1434.05023 Forum Math. Sigma 8, Paper No. e13, 55 p. (2020). MSC: 05A30 05A10 11A55 11B57 13F60 PDFBibTeX XMLCite \textit{S. Morier-Genoud} and \textit{V. Ovsienko}, Forum Math. Sigma 8, Paper No. e13, 55 p. (2020; Zbl 1434.05023) Full Text: DOI arXiv
Li, Junxian; Tamazyan, Albert; Zaharescu, Alexandru Ducci iterates and similar ordering of visible points in convex regions. (English) Zbl 1473.11044 Int. J. Number Theory 16, No. 1, 1-28 (2020). Reviewer: Emre Alkan (Istanbul) MSC: 11B57 11B99 PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Number Theory 16, No. 1, 1--28 (2020; Zbl 1473.11044) Full Text: DOI
Simoson, Andrew J. 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) MSC: 11A55 11-01 00A09 70F15 PDFBibTeX XMLCite \textit{A. J. Simoson}, Exploring continued fractions. From the integers to solar eclipses. Providence, RI: MAA Press/American Mathematical Society (AMS) (2019; Zbl 1496.11009) Full Text: DOI
Kogiso, Takeyoshi; Wakui, Michihisa A bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. (English) Zbl 1436.57009 J. Knot Theory Ramifications 28, No. 14, Article ID 1950083, 40 p. (2019). MSC: 57K10 11A55 13F60 PDFBibTeX XMLCite \textit{T. Kogiso} and \textit{M. Wakui}, J. Knot Theory Ramifications 28, No. 14, Article ID 1950083, 40 p. (2019; Zbl 1436.57009) Full Text: DOI arXiv
Zhuravlev, V. G. The karyon algorithm for expansion in multidimensional continued fractions. (English. Russian original) Zbl 1440.40002 J. Math. Sci., New York 242, No. 4, 487-508 (2019); translation from Zap. Nauchn. Semin. POMI 469, 32-63 (2018). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 40A15 11J70 11A55 11B57 11K50 11Y65 PDFBibTeX XMLCite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 242, No. 4, 487--508 (2019; Zbl 1440.40002); translation from Zap. Nauchn. Semin. POMI 469, 32--63 (2018) Full Text: DOI
Korolëv, M. A.; Ustinov, A. V. Distribution of rational points on the circle of unit radius. (English. Russian original) Zbl 1436.11012 Izv. Math. 83, No. 5, 1008-1049 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 5, 107-148 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11A55 11B83 11N60 62E20 97K60 82B20 37N20 37C83 11D79 PDFBibTeX XMLCite \textit{M. A. Korolëv} and \textit{A. V. Ustinov}, Izv. Math. 83, No. 5, 1008--1049 (2019; Zbl 1436.11012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 5, 107--148 (2019) Full Text: DOI
Baier, Stephan; Lynch, Sean B.; Zhao, Liangyi A lower bound for the large sieve with square moduli. (English) Zbl 1457.11130 Bull. Aust. Math. Soc. 100, No. 2, 225-229 (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11N35 11L07 PDFBibTeX XMLCite \textit{S. Baier} et al., Bull. Aust. Math. Soc. 100, No. 2, 225--229 (2019; Zbl 1457.11130) Full Text: DOI arXiv
Measures, Kayleigh First moment of distances between centres of Ford spheres. (English) Zbl 1479.11043 J. Math. Anal. Appl. 478, No. 2, 1100-1120 (2019). MSC: 11B57 51M99 11M06 PDFBibTeX XMLCite \textit{K. Measures}, J. Math. Anal. Appl. 478, No. 2, 1100--1120 (2019; Zbl 1479.11043) Full Text: DOI arXiv
Mantica, Giorgio; Totik, Vilmos Regularity of Minkowski’s question mark measure, its inverse and a class of IFS invariant measures. (English) Zbl 1423.42048 J. Lond. Math. Soc., II. Ser. 99, No. 3, 707-732 (2019). Reviewer: Christoph Aistleitner (Graz) MSC: 42C05 31A15 11A55 11B57 37D40 PDFBibTeX XMLCite \textit{G. Mantica} and \textit{V. Totik}, J. Lond. Math. Soc., II. Ser. 99, No. 3, 707--732 (2019; Zbl 1423.42048) Full Text: DOI
Lennerstad, Håkan The \(n\)-dimensional Stern-Brocot tree. (English) Zbl 1450.11069 Int. J. Number Theory 15, No. 6, 1219-1236 (2019). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 11B57 11B37 05C50 PDFBibTeX XMLCite \textit{H. Lennerstad}, Int. J. Number Theory 15, No. 6, 1219--1236 (2019; Zbl 1450.11069) Full Text: DOI
Morier-Genoud, Sophie; Ovsienko, Valentin Farey boat: continued fractions and triangulations, modular group and polygon dissections. (English) Zbl 1437.11097 Jahresber. Dtsch. Math.-Ver. 121, No. 2, 91-136 (2019). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 11A55 11-03 PDFBibTeX XMLCite \textit{S. Morier-Genoud} and \textit{V. Ovsienko}, Jahresber. Dtsch. Math.-Ver. 121, No. 2, 91--136 (2019; Zbl 1437.11097) Full Text: DOI arXiv HAL
Mundici, Daniele Triangles in Diophantine approximation. (English) Zbl 1459.11018 J. Number Theory 201, 176-189 (2019). MSC: 11A55 11B57 11Y65 11J70 11K60 14M25 22F05 37A20 37C85 40A15 PDFBibTeX XMLCite \textit{D. Mundici}, J. Number Theory 201, 176--189 (2019; Zbl 1459.11018) Full Text: DOI
Hockman, Meira The geometry of Gaussian integer continued fractions. (English) Zbl 1405.52021 J. Number Theory 197, 145-167 (2019). MSC: 52C22 20G20 51M10 11J70 PDFBibTeX XMLCite \textit{M. Hockman}, J. Number Theory 197, 145--167 (2019; Zbl 1405.52021) Full Text: DOI
Zhuravlev, V. G. Linear-fractional invariance of multidimensional continued fractions. (English. Russian original) Zbl 1411.11069 J. Math. Sci., New York 234, No. 5, 616-639 (2018); translation from Zap. Nauchn. Semin. POMI 458, 42-76 (2017). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11B57 11J68 11K50 11Y65 PDFBibTeX XMLCite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 234, No. 5, 616--639 (2018; Zbl 1411.11069); translation from Zap. Nauchn. Semin. POMI 458, 42--76 (2017) Full Text: DOI
Reiter, Harold; Holshouser, Arthur Generating Stern-Brocot type rational numbers with mediants. (English) Zbl 1444.11019 Missouri J. Math. Sci. 30, No. 1, 93-104 (2018). MSC: 11A55 11B57 PDFBibTeX XMLCite \textit{H. Reiter} and \textit{A. Holshouser}, Missouri J. Math. Sci. 30, No. 1, 93--104 (2018; Zbl 1444.11019) Full Text: Euclid
Boca, Florin P.; Linden, Christopher On Minkowski type question mark functions associated with even or odd continued fractions. (English) Zbl 1465.11042 Monatsh. Math. 187, No. 1, 35-57 (2018). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11A55 11A25 26A30 11B57 11B83 37B10 37E25 PDFBibTeX XMLCite \textit{F. P. Boca} and \textit{C. Linden}, Monatsh. Math. 187, No. 1, 35--57 (2018; Zbl 1465.11042) Full Text: DOI arXiv
Kushwaha, Seema; Sarma, Ritumoni Continued fractions arising from \(\mathcal F_{1,3}\). (English) Zbl 1429.11016 Ramanujan J. 46, No. 3, 605-631 (2018). MSC: 11A55 11J70 PDFBibTeX XMLCite \textit{S. Kushwaha} and \textit{R. Sarma}, Ramanujan J. 46, No. 3, 605--631 (2018; Zbl 1429.11016) Full Text: DOI
Bordellès, Olivier; Luca, Florian; Shparlinski, Igor E. On the error term of a lattice counting problem. (English) Zbl 1380.11085 J. Number Theory 182, 19-36 (2018). Reviewer: Katherine Roegner (Berlin) MSC: 11H06 11K38 11P21 PDFBibTeX XMLCite \textit{O. Bordellès} et al., J. Number Theory 182, 19--36 (2018; Zbl 1380.11085) Full Text: DOI arXiv
Zhuravlev, V. G. 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 PDFBibTeX XMLCite \textit{V. G. Zhuravlev}, Proc. Steklov Inst. Math. 299, 268--287 (2017; Zbl 1396.11102); translation from Tr. Mat. Inst. Steklova 299, 283--303 (2017) Full Text: DOI
Boca, Florin P. The distribution of rational numbers and ergodic theory. (English) Zbl 1449.37001 Rev. Roum. Math. Pures Appl. 62, No. 1, 41-62 (2017). MSC: 37A05 37A44 37A17 PDFBibTeX XMLCite \textit{F. P. Boca}, Rev. Roum. Math. Pures Appl. 62, No. 1, 41--62 (2017; Zbl 1449.37001)
Pratihar, Sanjoy; Bhowmick, Partha On the Farey sequence and its augmentation for applications to image analysis. (English) Zbl 1373.11017 Int. J. Appl. Math. Comput. Sci. 27, No. 3, 637-658 (2017). MSC: 11B57 94A08 PDFBibTeX XMLCite \textit{S. Pratihar} and \textit{P. Bhowmick}, Int. J. Appl. Math. Comput. Sci. 27, No. 3, 637--658 (2017; Zbl 1373.11017) Full Text: DOI
Mantica, Giorgio Minkowski’s question mark measure. (English) Zbl 1373.42030 J. Approx. Theory 222, 74-109 (2017). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 47B36 11A55 11B57 37D40 PDFBibTeX XMLCite \textit{G. Mantica}, J. Approx. Theory 222, 74--109 (2017; Zbl 1373.42030) Full Text: DOI arXiv
Chaubey, Sneha Hutchinson-Zaharescu parabolas and Ford circles. (English) Zbl 1419.11034 J. Number Theory 173, 23-36 (2017). MSC: 11B57 PDFBibTeX XMLCite \textit{S. Chaubey}, J. Number Theory 173, 23--36 (2017; Zbl 1419.11034) Full Text: DOI
Short, Ian; Walker, Mairi Geodesic Rosen continued fractions. (English) Zbl 1416.11126 Q. J. Math. 67, No. 4, 519-549 (2016). MSC: 11J70 11A55 05C12 05C38 PDFBibTeX XMLCite \textit{I. Short} and \textit{M. Walker}, Q. J. Math. 67, No. 4, 519--549 (2016; Zbl 1416.11126) Full Text: DOI arXiv Link
Hutchinson, S. Corinne; Zaharescu, Alexandru Parabolas infiltrating the Ford circles. (English) Zbl 1363.11028 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 59(107), No. 2, 175-185 (2016). MSC: 11B57 PDFBibTeX XMLCite \textit{S. C. Hutchinson} and \textit{A. Zaharescu}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 59(107), No. 2, 175--185 (2016; Zbl 1363.11028)
Citterio, Maurizio; Pavani, Raffaella A fast computation of the best \(k\)-digit rational approximation to a real number. (English) Zbl 1355.65038 Mediterr. J. Math. 13, No. 6, 4321-4331 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D20 11A55 11B57 40A25 41A50 PDFBibTeX XMLCite \textit{M. Citterio} and \textit{R. Pavani}, Mediterr. J. Math. 13, No. 6, 4321--4331 (2016; Zbl 1355.65038) Full Text: DOI
Polanco, Geremías; Schultz, Daniel; Zaharescu, Alexandru Continuous distributions arising from the three gap theorem. (English) Zbl 1396.11041 Int. J. Number Theory 12, No. 7, 743-1754 (2016). MSC: 11B57 11K36 11J71 PDFBibTeX XMLCite \textit{G. Polanco} et al., Int. J. Number Theory 12, No. 7, 743--1754 (2016; Zbl 1396.11041) Full Text: DOI arXiv
Cilleruelo, Javier On product sets of rationals. (English) Zbl 1403.11019 Int. J. Number Theory 12, No. 5, 1415-1420 (2016). Reviewer: Weidong Gao (Tianjin) MSC: 11B75 PDFBibTeX XMLCite \textit{J. Cilleruelo}, Int. J. Number Theory 12, No. 5, 1415--1420 (2016; Zbl 1403.11019) Full Text: DOI arXiv
Badziahin, Dzmitry Computation of the infimum in the Littlewood conjecture. (English) Zbl 1415.11092 Exp. Math. 25, No. 1, 100-105 (2016). MSC: 11J13 PDFBibTeX XMLCite \textit{D. Badziahin}, Exp. Math. 25, No. 1, 100--105 (2016; Zbl 1415.11092) Full Text: DOI Link
Kesseböhmer, Marc; Munday, Sara; Stratmann, Bernd Otto Infinite ergodic theory of numbers. (English) Zbl 1362.37003 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-043941-0/pbk; 978-3-11-043942-7/ebook). xvi, 191 p. (2016). Reviewer: Christoph Aistleitner (Graz) MSC: 37-02 11-02 37A45 11J70 11K50 11K55 PDFBibTeX XMLCite \textit{M. Kesseböhmer} et al., Infinite ergodic theory of numbers. Berlin: De Gruyter (2016; Zbl 1362.37003) Full Text: DOI
Heersink, Byron Poincaré sections for the horocycle flow in covers of \(\mathrm {SL}(2,\mathbb {R})/\mathrm {SL}(2,\mathbb {Z})\) and applications to Farey fraction statistics. (English) Zbl 1354.37040 Monatsh. Math. 179, No. 3, 389-420 (2016). MSC: 37D40 37A17 11B57 37A45 11K60 PDFBibTeX XMLCite \textit{B. Heersink}, Monatsh. Math. 179, No. 3, 389--420 (2016; Zbl 1354.37040) Full Text: DOI arXiv
Heersink, Byron An effective estimate for the Lebesgue measure of preimages of iterates of the Farey map. (English) Zbl 1362.37018 Adv. Math. 291, 621-634 (2016). Reviewer: Christoph Aistleitner (Graz) MSC: 37A40 37A45 11A55 11J70 PDFBibTeX XMLCite \textit{B. Heersink}, Adv. Math. 291, 621--634 (2016; Zbl 1362.37018) Full Text: DOI arXiv
Lamchanovskaya, M. V.; Bernik, V. I. Regularity of distribution of complex algebraic numbers in circles of small radius. (Russian. English summary) Zbl 1372.11075 Dokl. Nats. Akad. Nauk Belarusi 59, No. 6, 13-17 (2015). MSC: 11J83 PDFBibTeX XMLCite \textit{M. V. Lamchanovskaya} and \textit{V. I. Bernik}, Dokl. Nats. Akad. Nauk Belarusi 59, No. 6, 13--17 (2015; Zbl 1372.11075) Full Text: Link
Athreya, Jayadev; Chaubey, Sneha; Malik, Amita; Zaharescu, Alexandru Geometry of Farey-Ford polygons. (English) Zbl 1360.37007 New York J. Math. 21, 637-656 (2015). MSC: 37A17 11B57 37D40 60D99 PDFBibTeX XMLCite \textit{J. Athreya} et al., New York J. Math. 21, 637--656 (2015; Zbl 1360.37007) Full Text: arXiv EMIS
Odegard, Issac; Zerr, Ryan J. The quadratic irrationals and Ducci matrix sequences. (English) Zbl 1381.11008 Linear Algebra Appl. 484, 344-355 (2015). MSC: 11A55 11B57 15A99 39B42 PDFBibTeX XMLCite \textit{I. Odegard} and \textit{R. J. Zerr}, Linear Algebra Appl. 484, 344--355 (2015; Zbl 1381.11008) Full Text: DOI
Li, Han Effective limit distribution of the Frobenius numbers. (English) Zbl 1351.37020 Compos. Math. 151, No. 5, 898-916 (2015). MSC: 37A25 11K31 11B57 11D07 11H06 PDFBibTeX XMLCite \textit{H. Li}, Compos. Math. 151, No. 5, 898--916 (2015; Zbl 1351.37020) Full Text: DOI arXiv
Sarma, R.; Kushwaha, S.; Krishnan, R. Continued fractions arising from \(\mathcal{F}_{1,2}\). (English) Zbl 1333.11008 J. Number Theory 154, 179-200 (2015). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11A55 11K50 PDFBibTeX XMLCite \textit{R. Sarma} et al., J. Number Theory 154, 179--200 (2015; Zbl 1333.11008) Full Text: DOI
Singer, Johannes Positive limit-Fourier transform of Farey fractions. (English) Zbl 1369.11016 J. Number Theory 149, 236-258 (2015). MSC: 11B57 43A25 11M06 37C30 82B20 PDFBibTeX XMLCite \textit{J. Singer}, J. Number Theory 149, 236--258 (2015; Zbl 1369.11016) Full Text: DOI arXiv
Chaubey, Sneha; Malik, Amita; Zaharescu, Alexandru \(k\)-moments of distances between centers of Ford circles. (English) Zbl 1308.11017 J. Math. Anal. Appl. 422, No. 2, 906-919 (2015). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11B57 51M99 11M06 11L05 PDFBibTeX XMLCite \textit{S. Chaubey} et al., J. Math. Anal. Appl. 422, No. 2, 906--919 (2015; Zbl 1308.11017) Full Text: DOI
Furukado, Maki; Ito, Shunji; Saito, Asaki; Tamura, Jun-ichi; Yasutomi, Shin-ichi A new multidimensional slow continued fraction algorithm and stepped surface. (English) Zbl 1335.11055 Exp. Math. 23, No. 4, 390-410 (2014). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11J70 11Y65 37B10 52C22 68R15 PDFBibTeX XMLCite \textit{M. Furukado} et al., Exp. Math. 23, No. 4, 390--410 (2014; Zbl 1335.11055) Full Text: DOI arXiv
Vodolagin, M. Yu. Moments for the multidimensional Mönkemeyer algorithm. (English. Russian original) Zbl 1325.11068 St. Petersbg. Math. J. 25, No. 4, 533-545 (2014); translation from Algebra Anal. 25, No. 4, 28-46 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 11J70 PDFBibTeX XMLCite \textit{M. Yu. Vodolagin}, St. Petersbg. Math. J. 25, No. 4, 533--545 (2014; Zbl 1325.11068); translation from Algebra Anal. 25, No. 4, 28--46 (2013) Full Text: DOI
Bates, Bruce The Stern-Brocot continued fraction. (English) Zbl 1309.11007 Integers 14, Paper A39, 23 p. (2014). Reviewer: Claude Levesque (Québec) MSC: 11A55 11A67 11B57 11B75 PDFBibTeX XMLCite \textit{B. Bates}, Integers 14, Paper A39, 23 p. (2014; Zbl 1309.11007) Full Text: EMIS
Meng, Xianchang; Zaharescu, Alexandru A multivariable Mayer-Erdős phenomenon. (English) Zbl 1378.11027 J. Korean Math. Soc. 51, No. 5, 1029-1044 (2014). MSC: 11B57 PDFBibTeX XMLCite \textit{X. Meng} and \textit{A. Zaharescu}, J. Korean Math. Soc. 51, No. 5, 1029--1044 (2014; Zbl 1378.11027) Full Text: DOI Link
Kim, Dong Han; Lim, Seonhee; Nakada, Hitoshi; Natsui, Rie Farey maps, Diophantine approximation and Bruhat-Tits tree. (English) Zbl 1317.11076 Finite Fields Appl. 30, 14-32 (2014). Reviewer: Tonko Tonkov (Sofia) MSC: 11J61 11J70 37E25 PDFBibTeX XMLCite \textit{D. H. Kim} et al., Finite Fields Appl. 30, 14--32 (2014; Zbl 1317.11076) Full Text: DOI arXiv
Berthé, Valérie; Nakada, Hitoshi; Natsui, Rie; Vallée, Brigitte Fine costs for Euclid’s algorithm on polynomials and Farey maps. (English) Zbl 1285.11102 Adv. Appl. Math. 54, 27-65 (2014). MSC: 11J70 11K50 68W40 11A05 62E20 11T55 PDFBibTeX XMLCite \textit{V. Berthé} et al., Adv. Appl. Math. 54, 27--65 (2014; Zbl 1285.11102) Full Text: DOI
Spiegelhalter, Paul; Zaharescu, Alexandru A class of arithmetic functions on \(\mathrm{PSL}_2(\mathbb{Z})\). (English) Zbl 1285.11011 Bull. Korean Math. Soc. 50, No. 2, 601-610 (2013). Reviewer: Krassimir Atanassov (Sofia) MSC: 11A25 11N37 11B57 PDFBibTeX XMLCite \textit{P. Spiegelhalter} and \textit{A. Zaharescu}, Bull. Korean Math. Soc. 50, No. 2, 601--610 (2013; Zbl 1285.11011) Full Text: DOI Link
Boca, Florin P.; Heersink, Byron; Spiegelhalter, Paul Gap distribution of Farey fractions under some divisibility constraints. (English) Zbl 1290.11035 Integers 13, Paper A44, 15 p. (2013). MSC: 11B57 PDFBibTeX XMLCite \textit{F. P. Boca} et al., Integers 13, Paper A44, 15 p. (2013; Zbl 1290.11035) Full Text: arXiv EMIS
Stewart, C. L. 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) MSC: 11B57 11J70 PDFBibTeX XMLCite \textit{C. L. Stewart}, in: 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. 275--286 (2013; Zbl 1343.11026) Full Text: DOI
Stakénas, Vilius On the uniformity of some sequences of rational numbers. (English) Zbl 1274.11051 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 405-413 (2013). MSC: 11B57 11B50 PDFBibTeX XMLCite \textit{V. Stakénas}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 405--413 (2013; Zbl 1274.11051)
Nowak, Werner Georg (ed.); Kühleitner, Manfred (ed.) The third international conference on uniform distribution theory (UDT2012), Smolenice, Slovakia, June 25–29, 2012. Proceedings. (English) Zbl 1275.11004 Unif. Distrib. Theory 8, No. 1, 189 p. (2013). Reviewer: Oto Strauch (Bratislava) MSC: 11-06 00B25 PDFBibTeX XML
Avdeeva, M. O.; Bykovskiĭ, V. A. Statistical properties of finite continued fractions with fixed denominator. (English. Russian original) Zbl 1352.11063 Dokl. Math. 87, No. 2, 160-163 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 3, 255-258 (2013). MSC: 11K50 11J70 PDFBibTeX XMLCite \textit{M. O. Avdeeva} and \textit{V. A. Bykovskiĭ}, Dokl. Math. 87, No. 2, 160--163 (2013; Zbl 1352.11063); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 3, 255--258 (2013) Full Text: DOI
Kesseböhmer, Marc; Stratmann, Bernd O. A dichotomy between uniform distributions of the Stern-Brocot and the Farey series. (English) Zbl 1324.11047 Unif. Distrib. Theory 7, No. 2, 21-33 (2012). MSC: 11J70 PDFBibTeX XMLCite \textit{M. Kesseböhmer} and \textit{B. O. Stratmann}, Unif. Distrib. Theory 7, No. 2, 21--33 (2012; Zbl 1324.11047) Full Text: arXiv
Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru The distribution of rationals in residue classes. (English) Zbl 1313.11044 Math. Rep., Buchar. 14(64), No. 1, 1-19 (2012). MSC: 11B57 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Math. Rep., Buchar. 14(64), No. 1, 1--19 (2012; Zbl 1313.11044) Full Text: arXiv
Beardon, A. F.; Hockman, M.; Short, I. Geodesic continued fractions. (English) Zbl 1382.11023 Mich. Math. J. 61, No. 1, 133-150 (2012). MSC: 11B57 11J70 PDFBibTeX XMLCite \textit{A. F. Beardon} et al., Mich. Math. J. 61, No. 1, 133--150 (2012; Zbl 1382.11023) Full Text: DOI Euclid
Bowman, Douglas; Zaharescu, Alexandru Natural numbers \(n\) for which \(\lfloor n\alpha +s\rfloor \not =\lfloor n\beta +s\rfloor \). (English) Zbl 1276.11026 Acta Arith. 154, No. 3, 217-233 (2012). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11B57 11K55 11K50 11A55 PDFBibTeX XMLCite \textit{D. Bowman} and \textit{A. Zaharescu}, Acta Arith. 154, No. 3, 217--233 (2012; Zbl 1276.11026) Full Text: DOI
Kessböhmer, Marc; Stratmann, Bernd O. On the asymptotic behaviour of the Lebesgue measure of sum-level sets for continued fractions. (English) Zbl 1251.37013 Discrete Contin. Dyn. Syst. 32, No. 7, 2437-2451 (2012). Reviewer: Makoto Mori (Tokyo) MSC: 37A45 11J70 11J83 28A80 20H10 PDFBibTeX XMLCite \textit{M. Kessböhmer} and \textit{B. O. Stratmann}, Discrete Contin. Dyn. Syst. 32, No. 7, 2437--2451 (2012; Zbl 1251.37013) Full Text: DOI arXiv
Xiong, Maosheng; Zaharescu, Alexandru Pair correlation of lattice points with prime constraint. (English) Zbl 1327.11053 Acta Arith. 154, No. 1, 29-43 (2012). Reviewer: Roland Quême (Brax) MSC: 11K06 11J71 PDFBibTeX XMLCite \textit{M. Xiong} and \textit{A. Zaharescu}, Acta Arith. 154, No. 1, 29--43 (2012; Zbl 1327.11053) Full Text: DOI
Arkhipov, G. I.; Chubarikov, V. N. On the measure of “major arcs” in the Farey partition. (Russian) Zbl 1315.11014 Chebyshevskiĭ Sb. 12, No. 4(40), 39-42 (2011). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11B57 PDFBibTeX XMLCite \textit{G. I. Arkhipov} and \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 12, No. 4(40), 39--42 (2011; Zbl 1315.11014) Full Text: MNR
Alkauskas, Giedrius Addenda and corrigenda to “The Minkowski question mark function: explicit series for the dyadic period function and moments”. (English) Zbl 1267.11007 Math. Comput. 80, No. 276, 2445-2454 (2011). MSC: 11A55 26A30 40A15 PDFBibTeX XMLCite \textit{G. Alkauskas}, Math. Comput. 80, No. 276, 2445--2454 (2011; Zbl 1267.11007) Full Text: DOI
Xiong, Maosheng; Zaharescu, Alexandru Correlation of fractions with divisibility constraints. (English) Zbl 1226.11072 Math. Nachr. 284, No. 2-3, 393-407 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11J71 11B57 11K36 PDFBibTeX XMLCite \textit{M. Xiong} and \textit{A. Zaharescu}, Math. Nachr. 284, No. 2--3, 393--407 (2011; Zbl 1226.11072) Full Text: DOI
Badziahin, Dzmitry A.; Haynes, Alan K. A note on Farey fractions with denominators in arithmetic progressions. (English) Zbl 1253.11022 Acta Arith. 147, No. 3, 205-215 (2011). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11B57 11N37 11P21 PDFBibTeX XMLCite \textit{D. A. Badziahin} and \textit{A. K. Haynes}, Acta Arith. 147, No. 3, 205--215 (2011; Zbl 1253.11022) Full Text: DOI arXiv Link
Smillie, John; Ulcigrai, Corinna Beyond Sturmian sequences: coding linear trajectories in the regular octagon. (English) Zbl 1230.37021 Proc. Lond. Math. Soc. (3) 102, No. 2, 291-340 (2011). Reviewer: Wolfgang Steiner (Sydney) MSC: 37B10 11A55 37E35 PDFBibTeX XMLCite \textit{J. Smillie} and \textit{C. Ulcigrai}, Proc. Lond. Math. Soc. (3) 102, No. 2, 291--340 (2011; Zbl 1230.37021) Full Text: DOI arXiv
Pavlíková, Pavla On Farey’s fractions. (Czech) Zbl 1265.11035 Pokroky Mat. Fyz. Astron. 55, No. 2, 97-110 (2010). Reviewer: Marie Kopáčková (Praha) MSC: 11B57 01A50 11-03 PDFBibTeX XMLCite \textit{P. Pavlíková}, Pokroky Mat. Fyz. Astron. 55, No. 2, 97--110 (2010; Zbl 1265.11035)
Cobeli, Cristian; Vajaitu, Marian; Zaharescu, Alexandru A density theorem on even Farey fractions. (English) Zbl 1254.11021 Rev. Roum. Math. Pures Appl. 55, No. 6, 447-481 (2010). Reviewer: Stefan Porubsky (Prague 8) MSC: 11B57 11K31 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Rev. Roum. Math. Pures Appl. 55, No. 6, 447--481 (2010; Zbl 1254.11021)
Caglioti, Emanuele; Golse, François On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas. (English) Zbl 1210.82053 J. Stat. Phys. 141, No. 2, 264-317 (2010). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C40 PDFBibTeX XMLCite \textit{E. Caglioti} and \textit{F. Golse}, J. Stat. Phys. 141, No. 2, 264--317 (2010; Zbl 1210.82053) Full Text: DOI arXiv
Cobeli, Cristian; Vâjâitu, Marian; Zaharescu, Alexandru On the intervals of a third between Farey fractions. (English) Zbl 1212.11081 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 53(101), No. 3, 239-250 (2010). Reviewer: Jozsef Sandor (R.-Jud. Harghita) MSC: 11N37 11B57 PDFBibTeX XMLCite \textit{C. Cobeli} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 53(101), No. 3, 239--250 (2010; Zbl 1212.11081)
Koukoulopoulos, Dimitris Localized factorizations of integers. (English) Zbl 1257.11084 Proc. Lond. Math. Soc. (3) 101, No. 2, 392-426 (2010). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 PDFBibTeX XMLCite \textit{D. Koukoulopoulos}, Proc. Lond. Math. Soc. (3) 101, No. 2, 392--426 (2010; Zbl 1257.11084) Full Text: DOI arXiv
Alkauskas, Giedrius The Minkowski question mark function: explicit series for the dyadic period function and moments. (English) Zbl 1216.11006 Math. Comput. 79, No. 269, 383-418 (2010). MSC: 11A55 26A30 40A15 PDFBibTeX XMLCite \textit{G. Alkauskas}, Math. Comput. 79, No. 269, 383--418 (2010; Zbl 1216.11006) Full Text: DOI arXiv
Haynes, Alan K. Numerators of differences of nonconsecutive Farey fractions. (English) Zbl 1203.11022 Int. J. Number Theory 6, No. 3, 655-666 (2010). Reviewer: Stephan Baier (Bristol) MSC: 11B57 PDFBibTeX XMLCite \textit{A. K. Haynes}, Int. J. Number Theory 6, No. 3, 655--666 (2010; Zbl 1203.11022) Full Text: DOI arXiv
Alkan, Emre; Xiong, Maosheng; Zaharescu, Alexandru Pair correlation of sums of rationals with bounded height. (English) Zbl 1218.11069 J. Reine Angew. Math. 641, 21-67 (2010). Reviewer: Michael Coons (Waterloo) MSC: 11J71 11B57 62H20 PDFBibTeX XMLCite \textit{E. Alkan} et al., J. Reine Angew. Math. 641, 21--67 (2010; Zbl 1218.11069) Full Text: DOI
Bandtlow, Oscar F.; Fiala, Jan; Kleban, Peter; Prellberg, Thomas Asymptotics of the Farey fraction spin chain free energy at the critical point. (English) Zbl 1187.82037 J. Stat. Phys. 138, No. 1-3, 447-464 (2010). MSC: 82B26 82B27 82B28 PDFBibTeX XMLCite \textit{O. F. Bandtlow} et al., J. Stat. Phys. 138, No. 1--3, 447--464 (2010; Zbl 1187.82037) Full Text: DOI arXiv
Stakėnas, Vilius On the uniformity of distribution of Farey fractions. (English) Zbl 1337.11049 Liet. Mat. Rink., Liet. Mat. Draugijos Darb. 50, 14-17 (2009). MSC: 11K38 11B57 11K36 PDFBibTeX XMLCite \textit{V. Stakėnas}, Liet. Mat. Rink., Liet. Mat. Draugijos Darb. 50, 14--17 (2009; Zbl 1337.11049)