Gaur, Yashaswika; Wong, Tian An Lattice points in vector-dilated algebraic polytopes. (English) Zbl 07523019 JP J. Algebra Number Theory Appl. 53, No. 2, 165-174 (2022). MSC: 11H06 52C07 11P21 PDF BibTeX XML Cite \textit{Y. Gaur} and \textit{T. A. Wong}, JP J. Algebra Number Theory Appl. 53, No. 2, 165--174 (2022; Zbl 07523019) Full Text: DOI OpenURL
Ferguson, Timothy Undecidable arithmetic properties of solutions of Fredholm integral equations. (English) Zbl 07493023 J. Number Theory 236, 230-244 (2022). MSC: 11U05 11J99 68Q17 45B05 PDF BibTeX XML Cite \textit{T. Ferguson}, J. Number Theory 236, 230--244 (2022; Zbl 07493023) Full Text: DOI OpenURL
Georgiev, Ivan Dedekind cuts and long strings of zeros in base expansions. (English) Zbl 07495173 De Mol, Liesbeth (ed.) et al., Connecting with computability. 17th conference on computability in Europe, CiE 2021, virtual event, Ghent, Belgium, July 5–9, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12813, 248-259 (2021). MSC: 68Qxx PDF BibTeX XML Cite \textit{I. Georgiev}, Lect. Notes Comput. Sci. 12813, 248--259 (2021; Zbl 07495173) Full Text: DOI OpenURL
Bugeaud, Yann; Kim, Dong Han; Laurent, Michel; Nogueira, Arnaldo On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations. (English) Zbl 07481642 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1691-1704 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J91 37E05 PDF BibTeX XML Cite \textit{Y. Bugeaud} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1691--1704 (2021; Zbl 07481642) Full Text: DOI arXiv OpenURL
O., Ali Mogharrabi; V., Behrooz Fathi; Behzadi, M. H.; Farnoosh, R. The new scramble for Faure sequence based on irrational numbers. (English) Zbl 1474.11138 Adv. Math. Phys. 2021, Article ID 6696895, 12 p. (2021). MSC: 11K45 65C10 PDF BibTeX XML Cite \textit{A. M. O.} et al., Adv. Math. Phys. 2021, Article ID 6696895, 12 p. (2021; Zbl 1474.11138) Full Text: DOI OpenURL
Leuridan, Christophe Bernoulliness of \([T,\mathrm{Id}]\) when \(T\) is an irrational rotation: towards an explicit isomorphism. (English) Zbl 1469.37008 Ergodic Theory Dyn. Syst. 41, No. 7, 2110-2135 (2021). MSC: 37A44 37A05 37E05 37E45 11J70 PDF BibTeX XML Cite \textit{C. Leuridan}, Ergodic Theory Dyn. Syst. 41, No. 7, 2110--2135 (2021; Zbl 1469.37008) Full Text: DOI HAL OpenURL
Georgiev, Ivan; Kristiansen, Lars; Stephan, Frank Computable irrational numbers with representations of surprising complexity. (English) Zbl 1481.03041 Ann. Pure Appl. Logic 172, No. 2, Article ID 102893, 30 p. (2021). Reviewer: Matteo Bianchetti (Notre Dame) MSC: 03D78 03D20 03F60 03D15 PDF BibTeX XML Cite \textit{I. Georgiev} et al., Ann. Pure Appl. Logic 172, No. 2, Article ID 102893, 30 p. (2021; Zbl 1481.03041) Full Text: DOI OpenURL
Binwal, Jitendra; Sheoran, Preeti A review study of attributes of real numbers with applications. (English) Zbl 1478.26001 J. Indian Acad. Math. 42, No. 1, 63-72 (2020). MSC: 26-01 26Axx 94A12 PDF BibTeX XML Cite \textit{J. Binwal} and \textit{P. Sheoran}, J. Indian Acad. Math. 42, No. 1, 63--72 (2020; Zbl 1478.26001) OpenURL
Akiyama, Shigeki Spiral Delone sets and three distance theorem. (English) Zbl 07455320 Nonlinearity 33, No. 5, 2533-2540 (2020). MSC: 37E10 37E45 11J71 11A55 PDF BibTeX XML Cite \textit{S. Akiyama}, Nonlinearity 33, No. 5, 2533--2540 (2020; Zbl 07455320) Full Text: DOI arXiv OpenURL
Tangue, B. Ndawa Cherry maps with different critical exponents: bifurcation of geometry. (English) Zbl 1462.37045 Nelineĭn. Din. 16, No. 4, 651-672 (2020). MSC: 37E10 37E45 28A78 PDF BibTeX XML Cite \textit{B. N. Tangue}, Nelineĭn. Din. 16, No. 4, 651--672 (2020; Zbl 1462.37045) Full Text: DOI arXiv MNR OpenURL
Nakazawa, Isao; Umeno, Ken Chaotic property of almost periodic frequency arrangement (APFA). (English) Zbl 1459.94007 JSIAM Lett. 12, 9-12 (2020). MSC: 94A05 94A40 42C15 PDF BibTeX XML Cite \textit{I. Nakazawa} and \textit{K. Umeno}, JSIAM Lett. 12, 9--12 (2020; Zbl 1459.94007) Full Text: DOI OpenURL
Tóth, László On schizophrenic patterns in \(b\)-ary expansions of some irrational numbers. (English) Zbl 1461.11022 Proc. Am. Math. Soc. 148, No. 2, 461-469 (2020). MSC: 11A63 11B37 PDF BibTeX XML Cite \textit{L. Tóth}, Proc. Am. Math. Soc. 148, No. 2, 461--469 (2020; Zbl 1461.11022) Full Text: DOI arXiv OpenURL
Chemlal, Rezki Equicontinuous factors of one dimensional cellular automata. (English) Zbl 1478.37021 J. Cell. Autom. 14, No. 3-4, 213-223 (2019). MSC: 37B15 37A44 PDF BibTeX XML Cite \textit{R. Chemlal}, J. Cell. Autom. 14, No. 3--4, 213--223 (2019; Zbl 1478.37021) Full Text: arXiv Link OpenURL
Turek, Ondřej Gaps in the spectrum of a cuboidal periodic lattice graph. (English) Zbl 1441.81102 Rep. Math. Phys. 83, No. 1, 107-127 (2019). MSC: 81Q35 11A55 PDF BibTeX XML Cite \textit{O. Turek}, Rep. Math. Phys. 83, No. 1, 107--127 (2019; Zbl 1441.81102) Full Text: DOI arXiv OpenURL
Adouani, Abdelhamid; Marzougui, Habib Non-rigidity for circle homeomorphisms with several break points. (English) Zbl 1422.37027 Ergodic Theory Dyn. Syst. 39, No. 9, 2305-2331 (2019). MSC: 37E10 37E45 37C15 37C05 PDF BibTeX XML Cite \textit{A. Adouani} and \textit{H. Marzougui}, Ergodic Theory Dyn. Syst. 39, No. 9, 2305--2331 (2019; Zbl 1422.37027) Full Text: DOI arXiv OpenURL
Balčiūnas, Aidas; Dubickas, Arturas; Laurinčikas, Antanas On the Hurwitz zeta functions with algebraic irrational parameter. (English. Russian original) Zbl 1428.11153 Math. Notes 105, No. 2, 173-179 (2019); translation from Mat. Zametki 105, No. 2, 179-186 (2019). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M35 11J72 PDF BibTeX XML Cite \textit{A. Balčiūnas} et al., Math. Notes 105, No. 2, 173--179 (2019; Zbl 1428.11153); translation from Mat. Zametki 105, No. 2, 179--186 (2019) Full Text: DOI OpenURL
Lin, Xianzu Continued fraction expansions of real algebraic numbers. (English) Zbl 1443.11140 Acta Arith. 188, No. 4, 325-343 (2019). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11J81 11A55 11K50 PDF BibTeX XML Cite \textit{X. Lin}, Acta Arith. 188, No. 4, 325--343 (2019; Zbl 1443.11140) Full Text: DOI arXiv OpenURL
Melville, Duncan J. John Marsh and the curious world of decimal arithmetic. (English) Zbl 1445.01009 Zack, Maria (ed.) et al., Research in history and philosophy of mathematics. The CSHPM 2017 annual meeting in Toronto, Ontario, Canada, May 2017. Cham: Birkhäuser. Proc. Can. Soc. Hist. Philos. Math./Soc. Can. Hist. Philos. Math., 23-42 (2018). Reviewer: Symon Serbenyuk (Kyiv) MSC: 01A50 11-03 97F40 PDF BibTeX XML Cite \textit{D. J. Melville}, in: Research in history and philosophy of mathematics. The CSHPM 2017 annual meeting in Toronto, Ontario, Canada, May 2017. Cham: Birkhäuser. 23--42 (2018; Zbl 1445.01009) Full Text: DOI OpenURL
Fan, Aihua; Schmeling, Jörg Everywhere divergence of one-sided ergodic Hilbert transform. (Divergence partout de la transformée de Hilbert ergodique latérale.) (English. French summary) Zbl 1407.37003 Ann. Inst. Fourier 68, No. 6, 2477-2500 (2018). MSC: 37A30 37A45 PDF BibTeX XML Cite \textit{A. Fan} and \textit{J. Schmeling}, Ann. Inst. Fourier 68, No. 6, 2477--2500 (2018; Zbl 1407.37003) Full Text: DOI OpenURL
Bromberg, Michael; Ulcigrai, Corinna A temporal central limit theorem for real-valued cocycles over rotations. (English. French summary) Zbl 1411.37007 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2304-2334 (2018). Reviewer: Jacques Franchi (Strasbourg) MSC: 37A45 37A30 37E10 11K06 11K38 PDF BibTeX XML Cite \textit{M. Bromberg} and \textit{C. Ulcigrai}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2304--2334 (2018; Zbl 1411.37007) Full Text: DOI arXiv Euclid OpenURL
Confalonieri, Sara A further analysis of Cardano’s main tool in the De regula aliza: on the origins of the splittings. (English) Zbl 1392.01008 Arch. Hist. Exact Sci. 72, No. 3, 303-352 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 01A40 12-03 PDF BibTeX XML Cite \textit{S. Confalonieri}, Arch. Hist. Exact Sci. 72, No. 3, 303--352 (2018; Zbl 1392.01008) Full Text: DOI OpenURL
Csapodi, Csaba; Hegyvári, Norbert On some irrational decimal fractions, revisited. (English) Zbl 1429.11127 Elem. Math. 73, No. 1, 23-28 (2018). MSC: 11J72 11A63 PDF BibTeX XML Cite \textit{C. Csapodi} and \textit{N. Hegyvári}, Elem. Math. 73, No. 1, 23--28 (2018; Zbl 1429.11127) Full Text: DOI OpenURL
Katz, Asaf Generalizations of Furstenberg’s Diophantine result. (English) Zbl 1394.37010 Ergodic Theory Dyn. Syst. 38, No. 3, 1012-1024 (2018). Reviewer: Christoph Aistleitner (Graz) MSC: 37A45 11K31 28D05 PDF BibTeX XML Cite \textit{A. Katz}, Ergodic Theory Dyn. Syst. 38, No. 3, 1012--1024 (2018; Zbl 1394.37010) Full Text: DOI arXiv OpenURL
Stakhov, Alexey Numeral systems with irrational bases for mission-critical applications. (English) Zbl 1416.94007 Series on Knots and Everything 61. Hackensack, NJ: World Scientific (ISBN 978-981-3228-61-0/hbk; 978-981-3228-63-4/ebook). xxii, 257 p. (2018). Reviewer: Victor V. Pambuccian (Glendale) MSC: 94-02 94B40 11A63 11T71 PDF BibTeX XML Cite \textit{A. Stakhov}, Numeral systems with irrational bases for mission-critical applications. Hackensack, NJ: World Scientific (2018; Zbl 1416.94007) Full Text: DOI OpenURL
Polanco, Geremias The logarithm of irrational numbers and Beatty sequences. (English) Zbl 1429.11010 Acta Arith. 179, No. 2, 101-123 (2017). MSC: 11A25 11B75 11B85 40A05 PDF BibTeX XML Cite \textit{G. Polanco}, Acta Arith. 179, No. 2, 101--123 (2017; Zbl 1429.11010) Full Text: DOI arXiv OpenURL
Sevast’yanov, E. A. Mean oscillation modulus and number-theoretic grid quadrature formulas. (English. Russian original) Zbl 1367.65038 Math. Notes 101, No. 2, 320-340 (2017); translation from Mat. Zametki 101, No. 2, 262-285 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{E. A. Sevast'yanov}, Math. Notes 101, No. 2, 320--340 (2017; Zbl 1367.65038); translation from Mat. Zametki 101, No. 2, 262--285 (2017) Full Text: DOI OpenURL
Aigner, Martin; Ziegler, Günter M. Proofs from THE BOOK. Translated from the English by Nicolas Puech. Reprint of the 2013 3rd edition. (Raisonnements divins. Quelques démonstrations mathématiques particulièrement élégantes.) (French) Zbl 1362.00001 Paris: Hermes/Lavoisier (ISBN 978-2-7462-4798-7/pbk). xx, 308 p. (2017). MSC: 00A05 05-01 11-01 51-01 52-01 26-01 PDF BibTeX XML Cite \textit{M. Aigner} and \textit{G. M. Ziegler}, Raisonnements divins. Quelques démonstrations mathématiques particulièrement élégantes. Reprint of the 2013 3rd edition. Paris: Hermes/Lavoisier (2017; Zbl 1362.00001) OpenURL
Dubickas, Artūras On rational approximations to two irrational numbers. (English) Zbl 1428.11129 J. Number Theory 177, 43-59 (2017). MSC: 11J70 11J72 11A55 68R15 PDF BibTeX XML Cite \textit{A. Dubickas}, J. Number Theory 177, 43--59 (2017; Zbl 1428.11129) Full Text: DOI OpenURL
Gritsenko, S. A.; Motkina, N. N. On the solvability of Waring’s equation involving natural numbers of a special type. (Russian. English summary) Zbl 1435.11131 Chebyshevskiĭ Sb. 17, No. 1(57), 37-51 (2016). MSC: 11P05 11J72 PDF BibTeX XML Cite \textit{S. A. Gritsenko} and \textit{N. N. Motkina}, Chebyshevskiĭ Sb. 17, No. 1(57), 37--51 (2016; Zbl 1435.11131) Full Text: MNR OpenURL
Russ, Steve; Trlifajová, Kateřina Bolzano’s measurable numbers: are they real? (English) Zbl 1404.01017 Zack, Maria (ed.) et al., Research in history and philosophy of mathematics. The CSHPM 2015 annual meeting in Washington, D. C., USA, August, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-43269-4/hbk; 978-3-319-46615-6/ebook). Proceedings of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, 39-56 (2016). MSC: 01A55 26-03 01A60 PDF BibTeX XML Cite \textit{S. Russ} and \textit{K. Trlifajová}, in: Research in history and philosophy of mathematics. The CSHPM 2015 annual meeting in Washington, D. C., USA, August, 2015. Basel: Birkhäuser/Springer. 39--56 (2016; Zbl 1404.01017) Full Text: DOI arXiv OpenURL
Soria-Lorente, A.; González-Aguilera, A. A.; Centurión-Fajardo, A. M. Some series representations of the Riemann zeta function at odd arguments. (Spanish. English summary) Zbl 1381.11073 Lect. Mat. 37, No. 1, 25-33 (2016). MSC: 11M06 PDF BibTeX XML Cite \textit{A. Soria-Lorente} et al., Lect. Mat. 37, No. 1, 25--33 (2016; Zbl 1381.11073) OpenURL
Glaz, Sarah Poems structured by integer sequences. (English) Zbl 1375.00093 J. Math. Arts 10, No. 1-4, 44-52 (2016). MSC: 00A99 11B39 PDF BibTeX XML Cite \textit{S. Glaz}, J. Math. Arts 10, No. 1--4, 44--52 (2016; Zbl 1375.00093) Full Text: DOI OpenURL
Vassilev-Missana, Mladen On irrationality of some distances between points on a circle. (English) Zbl 1386.11085 Notes Number Theory Discrete Math. 22, No. 2, 4-9 (2016). MSC: 11J72 PDF BibTeX XML Cite \textit{M. Vassilev-Missana}, Notes Number Theory Discrete Math. 22, No. 2, 4--9 (2016; Zbl 1386.11085) Full Text: Link OpenURL
Le Calvez, Patrice A finite dimensional approach to Bramham’s approximation theorem. (Une approche de dimension finie du théorème d’approximation de Bramham.) (English. French summary) Zbl 1369.37039 Ann. Inst. Fourier 66, No. 5, 2169-2202 (2016). MSC: 37D30 37E30 37E45 37J10 PDF BibTeX XML Cite \textit{P. Le Calvez}, Ann. Inst. Fourier 66, No. 5, 2169--2202 (2016; Zbl 1369.37039) Full Text: DOI arXiv OpenURL
Hida, Takanori Ducci sequences of triples and continued fractions. (English) Zbl 1344.39001 J. Difference Equ. Appl. 22, No. 3, 411-427 (2016). MSC: 39A05 40A05 11B99 PDF BibTeX XML Cite \textit{T. Hida}, J. Difference Equ. Appl. 22, No. 3, 411--427 (2016; Zbl 1344.39001) Full Text: DOI OpenURL
Motta, Francis C.; Shipman, Patrick D.; Springer, Bethany D. Optimally topologically transitive orbits in discrete dynamical systems. (English) Zbl 1351.37170 Am. Math. Mon. 123, No. 2, 115-135 (2016). MSC: 37E10 37E45 37A45 37B20 37B10 PDF BibTeX XML Cite \textit{F. C. Motta} et al., Am. Math. Mon. 123, No. 2, 115--135 (2016; Zbl 1351.37170) Full Text: DOI OpenURL
Sevast’yanov, E. A.; Yakupov, Igor Yu. Estimates of the averaged sums of fractional parts. (English. Russian original) Zbl 1401.11114 Math. Notes 99, No. 2, 320-329 (2016); translation from Mat. Zametki 99, No. 2, 298-308 (2016). MSC: 11J54 11J70 11J72 PDF BibTeX XML Cite \textit{E. A. Sevast'yanov} and \textit{I. Yu. Yakupov}, Math. Notes 99, No. 2, 320--329 (2016; Zbl 1401.11114); translation from Mat. Zametki 99, No. 2, 298--308 (2016) Full Text: DOI OpenURL
Borodina, E. B. An algorithm for constructing multidimensional continued fractions and linear dependence of numbers. (English. Russian original) Zbl 1370.11081 Math. Notes 99, No. 1, 37-45 (2016); translation from Mat. Zametki 99, No. 1, 26-34 (2016). MSC: 11J70 11Y16 PDF BibTeX XML Cite \textit{E. B. Borodina}, Math. Notes 99, No. 1, 37--45 (2016; Zbl 1370.11081); translation from Mat. Zametki 99, No. 1, 26--34 (2016) Full Text: DOI OpenURL
Villarino, Mark B. A tripos surd. (English) Zbl 1384.41024 Math. Gaz. 99, No. 546, 474-480 (2015). MSC: 41A60 PDF BibTeX XML Cite \textit{M. B. Villarino}, Math. Gaz. 99, No. 546, 474--480 (2015; Zbl 1384.41024) Full Text: DOI arXiv OpenURL
Shao, Renxiang; Wan, Li; Deng, Xiaocheng The improvement of numerical calculation based on Taylor formula. (Chinese. English summary) Zbl 1349.65086 J. Guangzhou Univ., Nat. Sci. 14, No. 5, 9-12 (2015). MSC: 65D20 65G50 PDF BibTeX XML Cite \textit{R. Shao} et al., J. Guangzhou Univ., Nat. Sci. 14, No. 5, 9--12 (2015; Zbl 1349.65086) OpenURL
Watase, Yasushige Introduction to Diophantine approximation. (English) Zbl 1318.11089 Formaliz. Math. 23, No. 2, 101-106 (2015). MSC: 11J68 11A55 03B35 PDF BibTeX XML Cite \textit{Y. Watase}, Formaliz. Math. 23, No. 2, 101--106 (2015; Zbl 1318.11089) Full Text: DOI OpenURL
Gritsenko, S. A.; Motkina, N. N. Waring’s problem involving natural numbers of a special type. (Russian. English summary) Zbl 1434.11205 Chebyshevskiĭ Sb. 15, No. 3(51), 31-47 (2014). MSC: 11P05 PDF BibTeX XML Cite \textit{S. A. Gritsenko} and \textit{N. N. Motkina}, Chebyshevskiĭ Sb. 15, No. 3(51), 31--47 (2014; Zbl 1434.11205) Full Text: DOI MNR OpenURL
Dong, Dong; Meng, Xianchang Irrational factor of order \(k\) and its connections with \(k\)-free integers. (English) Zbl 1340.11079 Acta Math. Hung. 144, No. 2, 353-366 (2014). Reviewer: John H. Loxton (Greenwich, NSW) MSC: 11N37 11M99 PDF BibTeX XML Cite \textit{D. Dong} and \textit{X. Meng}, Acta Math. Hung. 144, No. 2, 353--366 (2014; Zbl 1340.11079) Full Text: DOI OpenURL
Kim, Dong Han Diophantine type of interval exchange maps. (English) Zbl 1351.37181 Ergodic Theory Dyn. Syst. 34, No. 6, 1990-2017 (2014). MSC: 37E45 37C15 37A45 37A20 37E05 PDF BibTeX XML Cite \textit{D. H. Kim}, Ergodic Theory Dyn. Syst. 34, No. 6, 1990--2017 (2014; Zbl 1351.37181) Full Text: DOI arXiv OpenURL
Nathanson, Melvyn B.; O’Bryant, Kevin Irrational numbers associated to sequences without geometric progressions. (English) Zbl 1314.11011 Integers 14, Paper A40, 11 p. (2014). Reviewer: Štefan Porubský (Praha) MSC: 11B83 11B25 40A05 PDF BibTeX XML Cite \textit{M. B. Nathanson} and \textit{K. O'Bryant}, Integers 14, Paper A40, 11 p. (2014; Zbl 1314.11011) Full Text: arXiv EMIS OpenURL
Müller, Tom Proofs of irrationality. (Irrationalitätsbeweise.) (German) Zbl 1301.11001 Berliner Studienreihe zur Mathematik 25. Lemgo: Heldermann Verlag (ISBN 978-3-88538-125-9/hbk). 209 p. (2014). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11J72 11J81 11A55 11J70 11J68 00A05 PDF BibTeX XML Cite \textit{T. Müller}, Irrationalitätsbeweise. Lemgo: Heldermann Verlag (2014; Zbl 1301.11001) OpenURL
Kim, Dong Han Refined shrinking target property of rotations. (English) Zbl 1303.11082 Nonlinearity 27, No. 9, 1985-1997 (2014). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J83 11K60 37E10 PDF BibTeX XML Cite \textit{D. H. Kim}, Nonlinearity 27, No. 9, 1985--1997 (2014; Zbl 1303.11082) Full Text: DOI OpenURL
Xylogiannopoulos, Konstantinos F.; Karampelas, Panagiotis; Alhajj, Reda Experimental analysis on the normality of \(\pi, e, \varphi,\sqrt 2\) using advanced data-mining techniques. (English) Zbl 1293.11085 Exp. Math. 23, No. 2, 105-128 (2014). MSC: 11K16 65C60 68T05 PDF BibTeX XML Cite \textit{K. F. Xylogiannopoulos} et al., Exp. Math. 23, No. 2, 105--128 (2014; Zbl 1293.11085) Full Text: DOI OpenURL
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam A note on special values of \(L\)-functions. (English) Zbl 1302.11057 Proc. Am. Math. Soc. 142, No. 4, 1147-1156 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11M06 11J89 11J91 33B15 PDF BibTeX XML Cite \textit{S. Gun} et al., Proc. Am. Math. Soc. 142, No. 4, 1147--1156 (2014; Zbl 1302.11057) Full Text: DOI OpenURL
Mingarelli, Angelo B. Abstract factorials. (English) Zbl 1328.11028 Notes Number Theory Discrete Math. 19, No. 4, 43-76 (2013). MSC: 11B65 11B75 11Y55 PDF BibTeX XML Cite \textit{A. B. Mingarelli}, Notes Number Theory Discrete Math. 19, No. 4, 43--76 (2013; Zbl 1328.11028) Full Text: arXiv Link OpenURL
Aslam Malik, M.; Zafar, M. Asim \(G\)-subsets of an invariant subset \(\mathbb Q^*(\sqrt{k^2m})\) of \(\mathbb Q(\sqrt{m})\setminus \mathbb Q\) under the modular group action. (English) Zbl 1368.11028 Util. Math. 91, 377-387 (2013). MSC: 11E04 05C25 20G15 PDF BibTeX XML Cite \textit{M. Aslam Malik} and \textit{M. A. Zafar}, Util. Math. 91, 377--387 (2013; Zbl 1368.11028) OpenURL
Misiurewicz, Michał Irrational square roots. (English) Zbl 1274.97017 Coll. Math. J. 44, No. 1, 53-55 (2013). MSC: 97F60 97F50 11A07 PDF BibTeX XML Cite \textit{M. Misiurewicz}, Coll. Math. J. 44, No. 1, 53--55 (2013; Zbl 1274.97017) Full Text: DOI OpenURL
Decrouez, Geoffrey; Hall, Peter Normal approximation and smoothness for sums of means of lattice-valued random variables. (English) Zbl 1291.62046 Bernoulli 19, No. 4, 1268-1293 (2013). Reviewer: Italo Simonelli (Westminster, MD) MSC: 62E17 60F05 62F40 PDF BibTeX XML Cite \textit{G. Decrouez} and \textit{P. Hall}, Bernoulli 19, No. 4, 1268--1293 (2013; Zbl 1291.62046) Full Text: DOI arXiv Euclid OpenURL
Aigner, Martin; Ziegler, Günter M. Proofs from THE BOOK. Transl. from the English by Nicolas Puech. 3rd ed. (Raisonnements divins. Quelques démonstrations mathématiques particulièrement élégantes.) (French) Zbl 1262.00001 Paris: Springer (ISBN 978-2-8178-0399-9/pbk). x, 308 p. (2013). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 00A05 05-01 11-01 51-01 52-01 26-01 PDF BibTeX XML Cite \textit{M. Aigner} and \textit{G. M. Ziegler}, Raisonnements divins. Quelques démonstrations mathématiques particulièrement élégantes. 3rd ed. Paris: Springer (2013; Zbl 1262.00001) OpenURL
Roldán, Francisco Method of modulation and sizing of historic architecture. (English) Zbl 1298.00074 Nexus Netw. J. 14, No. 3, 539-553 (2012). MSC: 00A67 PDF BibTeX XML Cite \textit{F. Roldán}, Nexus Netw. J. 14, No. 3, 539--553 (2012; Zbl 1298.00074) Full Text: DOI OpenURL
Afzal, Farkhanda; Afzal, Qamar; Aslam Malik, M. Modular group action on quadratic field by linear congruence. (English) Zbl 1299.11045 Novi Sad J. Math. 42, No. 2, 133-143 (2012). Reviewer: Wenxue Huang (Scarborough, ON) MSC: 11F99 11R11 11A99 PDF BibTeX XML Cite \textit{F. Afzal} et al., Novi Sad J. Math. 42, No. 2, 133--143 (2012; Zbl 1299.11045) OpenURL
Alves Gouveia, Márcio Ricardo; Colli, Eduardo The lamination of infinitely renormalizable dissipative gap maps: analyticity, holonomies and conjugacies. (English) Zbl 1338.37029 Qual. Theory Dyn. Syst. 11, No. 2, 231-275 (2012). MSC: 37C15 37C10 37E35 37C27 32A65 PDF BibTeX XML Cite \textit{M. R. Alves Gouveia} and \textit{E. Colli}, Qual. Theory Dyn. Syst. 11, No. 2, 231--275 (2012; Zbl 1338.37029) Full Text: DOI OpenURL
Dedekind, Richard What are the meaning and the purpose of numbers? Reprint of the 1893 edition. (Was sind und was sollen die Zahlen?) (German) Zbl 1257.01035 Cambridge Library Collection – Mathematics. Cambridge: Cambridge University Press (ISBN 978-1-108-05038-8). xix, 58 p. (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A75 01A55 01A70 11-03 26-03 PDF BibTeX XML Cite \textit{R. Dedekind}, Was sind und was sollen die Zahlen?. Reprint of the 1893 edition. Cambridge: Cambridge University Press (2012; Zbl 1257.01035) OpenURL
Moll, Victor H. Numbers and functions. From a classical-experimental mathematician’s point of view. (English) Zbl 1268.00011 Student Mathematical Library 65. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8795-0/pbk). xxiii, 504 p. (2012). Reviewer: Cristinel Mortici (Târgovişte) MSC: 00A35 11-01 26A09 33B10 33B15 33C47 PDF BibTeX XML Cite \textit{V. H. Moll}, Numbers and functions. From a classical-experimental mathematician's point of view. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1268.00011) OpenURL
Burger, Edward B.; Clyde, David C.; Colbert, Cory H.; Shin, Gea Hyun; Wang, Zhaoning A generalization of a theorem of Lekkerkerker to Ostrowski’s decomposition of natural numbers. (English) Zbl 1275.11016 Acta Arith. 153, No. 3, 217-249 (2012). Reviewer: Jeffrey Shallit (Waterloo) MSC: 11A55 11B37 11N45 11Y65 PDF BibTeX XML Cite \textit{E. B. Burger} et al., Acta Arith. 153, No. 3, 217--249 (2012; Zbl 1275.11016) Full Text: DOI OpenURL
Aslam Malik, M.; Riaz, M. \(G\)-subsets and \(G\)-orbits of \(\mathbb Q^*(\sqrt n)\) under action of the modular group. (English) Zbl 1291.20050 J. Math., Punjab Univ. 43, 75-84 (2011). MSC: 20H05 11F06 11E04 PDF BibTeX XML Cite \textit{M. Aslam Malik} and \textit{M. Riaz}, J. Math., Punjab Univ. 43, 75--84 (2011; Zbl 1291.20050) Full Text: arXiv OpenURL
Robinson, E. Arthur jun. Sturmian expansions and entropy. (English) Zbl 1286.37003 Integers 11B, Paper A13, 16 p. (2011). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A05 37A35 37B05 37A45 PDF BibTeX XML Cite \textit{E. A. Robinson jun.}, Integers 11B, Paper A13, 16 p. (2011; Zbl 1286.37003) Full Text: EMIS OpenURL
Matthews, Keith R.; Robertson, John P. Period-length equality for the nearest integer and nearest square continued fraction expansions of a quadratic surd. (English) Zbl 1257.11006 Glas. Mat., III. Ser. 46, No. 2, 269-282 (2011). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11A55 11Y65 PDF BibTeX XML Cite \textit{K. R. Matthews} and \textit{J. P. Robertson}, Glas. Mat., III. Ser. 46, No. 2, 269--282 (2011; Zbl 1257.11006) Full Text: DOI Link OpenURL
Malik, M. Aslam; Zafar, M. Asim Real quadratic irrational numbers and modular group action. (English) Zbl 1240.11069 Southeast Asian Bull. Math. 35, No. 3, 439-445 (2011). MSC: 11E04 11F06 20H10 PDF BibTeX XML Cite \textit{M. A. Malik} and \textit{M. A. Zafar}, Southeast Asian Bull. Math. 35, No. 3, 439--445 (2011; Zbl 1240.11069) OpenURL
Albu, Toma The irrationality of sums of radicals via cogalois theory. (English) Zbl 1240.11076 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 19, No. 2, 15-36 (2011). Reviewer: Peter Bundschuh (Köln) MSC: 11J72 11J81 12-02 12E30 12F05 PDF BibTeX XML Cite \textit{T. Albu}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 19, No. 2, 15--36 (2011; Zbl 1240.11076) OpenURL
Kim, Dong Han; Nakada, Hitoshi Metric inhomogeneous Diophantine approximation on the field of formal Laurent series. (English) Zbl 1248.11050 Acta Arith. 150, No. 2, 129-142 (2011). Reviewer: Jason Levesley (York) MSC: 11J61 11J83 11K60 PDF BibTeX XML Cite \textit{D. H. Kim} and \textit{H. Nakada}, Acta Arith. 150, No. 2, 129--142 (2011; Zbl 1248.11050) Full Text: DOI Link OpenURL
Higgins, Peter M. Numbers. A very short introduction. (English) Zbl 1213.00007 Oxford: Oxford University Press (ISBN 978-0-19-958405-5/pbk). xiii, 132 p. (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A05 00A35 11A05 97Fxx PDF BibTeX XML Cite \textit{P. M. Higgins}, Numbers. A very short introduction. Oxford: Oxford University Press (2011; Zbl 1213.00007) OpenURL
Elsner, Carsten Series of error terms for rational approximations of irrational numbers. (English) Zbl 1248.11049 J. Integer Seq. 14, No. 1, Article 11.1.4, 20 p. (2011). Reviewer: Roland Quême (Brax) MSC: 11J04 11J70 11B39 PDF BibTeX XML Cite \textit{C. Elsner}, J. Integer Seq. 14, No. 1, Article 11.1.4, 20 p. (2011; Zbl 1248.11049) Full Text: EMIS OpenURL
Hieronymi, Philipp The real field with an irrational power function and a dense multiplicative subgroup. (English) Zbl 1220.03032 J. Lond. Math. Soc., II. Ser. 83, No. 1, 153-167 (2011). MSC: 03C64 03C10 11U09 12L12 PDF BibTeX XML Cite \textit{P. Hieronymi}, J. Lond. Math. Soc., II. Ser. 83, No. 1, 153--167 (2011; Zbl 1220.03032) Full Text: DOI arXiv OpenURL
Sabitov, K. B.; Safin, É. M. The inverse problem for an equation of mixed parabolic-hyperbolic type. (English. Russian original) Zbl 1291.35447 Math. Notes 87, No. 6, 880-889 (2010); translation from Mat. Zametki 87, No. 6, 908-919 (2010). MSC: 35R30 PDF BibTeX XML Cite \textit{K. B. Sabitov} and \textit{É. M. Safin}, Math. Notes 87, No. 6, 880--889 (2010; Zbl 1291.35447); translation from Mat. Zametki 87, No. 6, 908--919 (2010) Full Text: DOI OpenURL
Nesterenko, Yu. V. On the irrationality exponent of the number \(\ln 2\). (English. Russian original) Zbl 1241.11085 Math. Notes 88, No. 4, 530-543 (2010); translation from Mat. Zametki 88, No. 4, 549-564 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 PDF BibTeX XML Cite \textit{Yu. V. Nesterenko}, Math. Notes 88, No. 4, 530--543 (2010; Zbl 1241.11085); translation from Mat. Zametki 88, No. 4, 549--564 (2010) Full Text: DOI OpenURL
Pesic, Peter Hearing the irrational: music and the development of the modern concept of number. (English) Zbl 1230.01008 ISIS 101, No. 3, 501-530 (2010). Reviewer: Eberhard Knobloch (Berlin) MSC: 01A40 PDF BibTeX XML Cite \textit{P. Pesic}, ISIS 101, No. 3, 501--530 (2010; Zbl 1230.01008) Full Text: DOI OpenURL
Lowry, S. Todd Pythagorean mathematical idealism and the framing of economic and political theory. (English) Zbl 1195.01003 Kusuoka, Shigeo (ed.) et al., Advances in mathematical economics. Vol. 13. Tokyo: Springer (ISBN 978-4-431-99489-3/hbk; 978-4-431-99490-9/ebook). Advances in Mathematical Economics 13, 177-199 (2010). MSC: 01A05 01A80 11-00 PDF BibTeX XML Cite \textit{S. T. Lowry}, Adv. Math. Econ. 13, 177--199 (2010; Zbl 1195.01003) Full Text: DOI OpenURL
Toenniessen, Fridtjof The mystery of the transcendental numbers. A slightly different introduction to mathematics. (Das Geheimnis der transzendenten Zahlen. Eine etwas andere Einführung in die Mathematik.) (German) Zbl 1183.00004 Spektrum Sachbuch. Heidelberg: Spektrum Akademischer Verlag (ISBN 978-3-8274-2274-3/pbk; 978-3-8274-2275-0/ebook). xiii, 434 p. (2010). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A05 00A09 11J81 97F60 PDF BibTeX XML Cite \textit{F. Toenniessen}, Das Geheimnis der transzendenten Zahlen. Eine etwas andere Einführung in die Mathematik. Heidelberg: Spektrum Akademischer Verlag (2010; Zbl 1183.00004) Full Text: DOI OpenURL
Uscka-Wehlou, Hanna Continued fractions, Fibonacci numbers, and some classes of irrational numbers. (English) Zbl 1224.11005 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 26, No. 1, 17-30 (2009). MSC: 11A55 11B39 03E20 68R15 PDF BibTeX XML Cite \textit{H. Uscka-Wehlou}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 26, No. 1, 17--30 (2009; Zbl 1224.11005) Full Text: EuDML OpenURL
Tseng, Jimmy Badly approximable affine forms and Schmidt games. (English) Zbl 1205.11088 J. Number Theory 129, No. 12, 3020-3025 (2009). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 37A45 PDF BibTeX XML Cite \textit{J. Tseng}, J. Number Theory 129, No. 12, 3020--3025 (2009; Zbl 1205.11088) Full Text: DOI arXiv Link OpenURL
Hamaya, Yoshihiro On the criteria for irrational number of recursive sequences. (English) Zbl 1181.39002 Adv. Appl. Discrete Math. 4, No. 1, 87-93 (2009). Reviewer: Pavel Rehak (Brno) MSC: 39A10 11B83 PDF BibTeX XML Cite \textit{Y. Hamaya}, Adv. Appl. Discrete Math. 4, No. 1, 87--93 (2009; Zbl 1181.39002) Full Text: Link OpenURL
Bonanno, Claudio; Isola, Stefano A renormalization approach to irrational rotations. (English) Zbl 1201.37057 Ann. Mat. Pura Appl. (4) 188, No. 2, 247-267 (2009). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 37E05 37A25 37A45 PDF BibTeX XML Cite \textit{C. Bonanno} and \textit{S. Isola}, Ann. Mat. Pura Appl. (4) 188, No. 2, 247--267 (2009; Zbl 1201.37057) Full Text: DOI arXiv OpenURL
Aspenberg, Magnus; Yampolsky, Michael Mating non-renormalizable quadratic polynomials. (English) Zbl 1187.37065 Commun. Math. Phys. 287, No. 1, 1-40 (2009). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 37F10 37E15 37F45 PDF BibTeX XML Cite \textit{M. Aspenberg} and \textit{M. Yampolsky}, Commun. Math. Phys. 287, No. 1, 1--40 (2009; Zbl 1187.37065) Full Text: DOI arXiv Link OpenURL
Jepsen, Charles H.; Sedberry, Trevor; Hoyer, Rolf Equidissections of kite-shaped quadrilaterals. (English) Zbl 1176.52003 Involve 2, No. 1, 89-93 (2009). Reviewer: Horst Martini (Chemnitz) MSC: 52B45 PDF BibTeX XML Cite \textit{C. H. Jepsen} et al., Involve 2, No. 1, 89--93 (2009; Zbl 1176.52003) Full Text: DOI Link OpenURL
Sen, S. K.; Agarwal, Ravi P.; Pavani, Raffaella Best \(k\)-digit rational bounds for irrational numbers: pre- and super-computer era. (English) Zbl 1165.68300 Math. Comput. Modelling 49, No. 7-8, 1465-1482 (2009). MSC: 68-03 65-03 11Y65 65G99 PDF BibTeX XML Cite \textit{S. K. Sen} et al., Math. Comput. Modelling 49, No. 7--8, 1465--1482 (2009; Zbl 1165.68300) Full Text: DOI OpenURL
Chevallier, Nicolas Coding of a translation of the two-dimensional torus. (English) Zbl 1171.37009 Monatsh. Math. 157, No. 2, 101-130 (2009). Reviewer: Ljubiša Kocić (Niš) MSC: 37B10 11K60 PDF BibTeX XML Cite \textit{N. Chevallier}, Monatsh. Math. 157, No. 2, 101--130 (2009; Zbl 1171.37009) Full Text: DOI OpenURL
Tong, Changqing; Zheng, Jing Periodic solutions of some wave equations of two dimensions. (Chinese. English summary) Zbl 1174.35003 Appl. Math., Ser. A (Chin. Ed.) 23, No. 3, 321-325 (2008). MSC: 35B10 35L05 35L20 PDF BibTeX XML Cite \textit{C. Tong} and \textit{J. Zheng}, Appl. Math., Ser. A (Chin. Ed.) 23, No. 3, 321--325 (2008; Zbl 1174.35003) OpenURL
Xu, Jian On sums of partial quotients in continued fraction expansions. (English) Zbl 1221.11168 Nonlinearity 21, No. 9, 2113-2120 (2008). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11K50 11J70 28A80 PDF BibTeX XML Cite \textit{J. Xu}, Nonlinearity 21, No. 9, 2113--2120 (2008; Zbl 1221.11168) Full Text: DOI OpenURL
Arnol’d, V. I. Statistics of the periods of continued fractions for quadratic irrationals. (English. Russian original) Zbl 1152.11002 Izv. Math. 72, No. 1, 1-34 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 1, 3-38 (2008). Reviewer: Thomas Ward (Norwich) MSC: 11A55 37A45 PDF BibTeX XML Cite \textit{V. I. Arnol'd}, Izv. Math. 72, No. 1, 1--34 (2008; Zbl 1152.11002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 1, 3--38 (2008) Full Text: DOI OpenURL
Elsner, Carsten; Komatsu, Takao On the residue classes of integer sequences satisfying a linear three term recurrence formula. (English) Zbl 1233.11006 Linear Algebra Appl. 429, No. 4, 933-947 (2008). MSC: 11A55 11B50 11J04 11J70 PDF BibTeX XML Cite \textit{C. Elsner} and \textit{T. Komatsu}, Linear Algebra Appl. 429, No. 4, 933--947 (2008; Zbl 1233.11006) Full Text: DOI OpenURL
Sen, S. K.; Agarwal, Ravi P. Best \(k\)-digit rational approximation of irrational numbers: pre-computer versus computer era. (English) Zbl 1143.65022 Appl. Math. Comput. 199, No. 2, 770-786 (2008). MSC: 65D20 11Y60 33B10 65-03 65G50 33F05 PDF BibTeX XML Cite \textit{S. K. Sen} and \textit{R. P. Agarwal}, Appl. Math. Comput. 199, No. 2, 770--786 (2008; Zbl 1143.65022) Full Text: DOI OpenURL
Mishou, Hidehiko The joint value distribution of the Riemann zeta function and Hurwitz zeta functions. II. (English) Zbl 1215.11090 Arch. Math. 90, No. 3, 230-238 (2008). MSC: 11M35 11M06 PDF BibTeX XML Cite \textit{H. Mishou}, Arch. Math. 90, No. 3, 230--238 (2008; Zbl 1215.11090) Full Text: DOI OpenURL
Khanin, K.; Teplinsky, A. Robust rigidity for circle diffeomorphisms with singularities. (English) Zbl 1151.37035 Invent. Math. 169, No. 1, 193-218 (2007). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37E10 37E20 37C15 PDF BibTeX XML Cite \textit{K. Khanin} and \textit{A. Teplinsky}, Invent. Math. 169, No. 1, 193--218 (2007; Zbl 1151.37035) Full Text: DOI OpenURL
Ivankov, P. L. The values of certain hypergeometric functions with irrational parameters. (English. Russian original) Zbl 1154.33003 Russ. Math. 51, No. 7, 45-49 (2007); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2007, No. 7, 48-52 (2007). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C20 33C80 11J91 PDF BibTeX XML Cite \textit{P. L. Ivankov}, Russ. Math. 51, No. 7, 45--49 (2007; Zbl 1154.33003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2007, No. 7, 48--52 (2007) Full Text: DOI OpenURL
Pohl, A. An upper bound for the periodic length of a quadratic irrational. (English) Zbl 1140.11002 Abh. Math. Semin. Univ. Hamb. 77, 129-136 (2007). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11A55 11J70 PDF BibTeX XML Cite \textit{A. Pohl}, Abh. Math. Semin. Univ. Hamb. 77, 129--136 (2007; Zbl 1140.11002) Full Text: DOI OpenURL
[Coutinho, Ricardo] Discontinuous rotations. (English) Zbl 1135.37013 Ruffing, A. (ed.) et al., Communications of the Laufen colloquium on science, Laufen, Austria, April 1–5, 2007. Aachen: Shaker (ISBN 978-3-8322-6739-1/pbk). Berichte aus der Mathematik, 4.1-4.29 (2007). MSC: 37E10 37B25 37B10 28A80 PDF BibTeX XML Cite in: Communications of the Laufen colloquium on science, Laufen, Austria, April 1--5, 2007. Aachen: Shaker. 4.1--4.29 (2007; Zbl 1135.37013) OpenURL
Naito, Koichiro Recurrent dimensions of quasi-periodic attractors for second order evolution equations. (English) Zbl 1112.37020 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30–July 4, 2005. Yokohama: Yokohama Publishers (ISBN 978-4-946552-27-4/hbk). 427-437 (2007). MSC: 37C45 11K60 28A80 37C55 37A45 37L05 PDF BibTeX XML Cite \textit{K. Naito}, in: Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30--July 4, 2005. Yokohama: Yokohama Publishers. 427--437 (2007; Zbl 1112.37020) OpenURL
Boehme, Harald Mathematics of the Pythagoreans. (Mathematik der Pythagoreer.) (German) Zbl 1131.01001 Hykšová, Magdalena (ed.) et al., Wanderschaft in der Mathematik. Tagung zur Geschichte der Mathematik. Augsburg: ERV Dr. Erwin Rauner Verlag (ISBN 3-936905-15-0). Algorismus 53, 41-53 (2006). Reviewer: Franka Miriam Bruckler (Zagreb) MSC: 01A20 11-03 97-03 PDF BibTeX XML Cite \textit{H. Boehme}, Algorismus 53, 41--53 (2006; Zbl 1131.01001) OpenURL
Spilker, J. Decimals and almost-periodicity. (English) Zbl 1134.11031 Arch. Math. 87, No. 5, 407-411 (2006). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K70 11A63 11B39 PDF BibTeX XML Cite \textit{J. Spilker}, Arch. Math. 87, No. 5, 407--411 (2006; Zbl 1134.11031) Full Text: DOI OpenURL
Vivaldi, F.; Lowenstein, J. H. Arithmetical properties of a family of irrational piecewise rotations. (English) Zbl 1100.37028 Nonlinearity 19, No. 5, 1069-1097 (2006). MSC: 37E99 11Z05 37G15 PDF BibTeX XML Cite \textit{F. Vivaldi} and \textit{J. H. Lowenstein}, Nonlinearity 19, No. 5, 1069--1097 (2006; Zbl 1100.37028) Full Text: DOI OpenURL
Jia, Chaohua On a conjecture of Yiming Long. (English) Zbl 1101.11042 Acta Arith. 122, No. 1, 57-61 (2006). Reviewer: Tianze Wang (Henan) MSC: 11P32 11L20 PDF BibTeX XML Cite \textit{C. Jia}, Acta Arith. 122, No. 1, 57--61 (2006; Zbl 1101.11042) Full Text: DOI OpenURL
Flannery, David The square root of 2. A dialogue concerning a number and a sequence. (English) Zbl 1146.00003 New York, NY: Copernicus Books; Chichester: Praxis Publishing Ltd. (ISBN 0-387-20220-X/hbk). xii, 256 p. (2006). Reviewer: Panayiotis Vlamos (Athens) MSC: 00A35 97A20 11-01 26-01 PDF BibTeX XML Cite \textit{D. Flannery}, The square root of 2. A dialogue concerning a number and a sequence. New York, NY: Copernicus Books; Chichester: Praxis Publishing Ltd. (2006; Zbl 1146.00003) OpenURL
Suzuki, Tomonari The set of common fixed points of a one-parameter continuous semigroup of mappings is \( F(T(1)) \cap F(T(\sqrt2))\). (English) Zbl 1119.47057 Proc. Am. Math. Soc. 134, No. 3, 673-681 (2006). Reviewer: Jarosław Górnicki (Rzeszów) MSC: 47H20 47H10 PDF BibTeX XML Cite \textit{T. Suzuki}, Proc. Am. Math. Soc. 134, No. 3, 673--681 (2006; Zbl 1119.47057) Full Text: DOI arXiv OpenURL
Lagarias, Jeffrey C.; Rains, Eric Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. (English) Zbl 1082.37045 J. Difference Equ. Appl. 11, No. 13, 1137-1163 (2005). MSC: 37E30 52C23 37E45 37M25 37E10 37B10 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{E. Rains}, J. Difference Equ. Appl. 11, No. 13, 1137--1163 (2005; Zbl 1082.37045) Full Text: DOI arXiv Link OpenURL