Córdova, Santiago; Vera, Daniel A simple shearlet-based 2D Radon inversion with an application to computed tomography. (English) Zbl 07328416 Appl. Comput. Harmon. Anal. 51, 275-294 (2021). MSC: 42C40 42C15 44A12 42A38 92C55 94A08 68U10 PDF BibTeX XML Cite \textit{S. Córdova} and \textit{D. Vera}, Appl. Comput. Harmon. Anal. 51, 275--294 (2021; Zbl 07328416) Full Text: DOI
Pedersen, Geir K. Asymptotic, convergent, and exact truncating series solutions of the linear shallow water equations for channels with power law geometry. (English) Zbl 07328076 SIAM J. Appl. Math. 81, No. 2, 285-303 (2021). MSC: 68Q25 68R10 68U05 PDF BibTeX XML Cite \textit{G. K. Pedersen}, SIAM J. Appl. Math. 81, No. 2, 285--303 (2021; Zbl 07328076) Full Text: DOI
Nathanson, Melvyn B. Dirichlet series of integers with missing digits. (English) Zbl 07318727 J. Number Theory 222, 30-37 (2021). MSC: 11A63 11B05 11B75 11K16 PDF BibTeX XML Cite \textit{M. B. Nathanson}, J. Number Theory 222, 30--37 (2021; Zbl 07318727) Full Text: DOI
Dajani, Karma; Jiang, Kan; Kong, Derong; Li, Wenxia; Xi, Lifeng Multiple codings of self-similar sets with overlaps. (English) Zbl 07304635 Adv. Appl. Math. 124, Article ID 102146, 50 p. (2021). MSC: 11A63 37B10 28A78 11K55 PDF BibTeX XML Cite \textit{K. Dajani} et al., Adv. Appl. Math. 124, Article ID 102146, 50 p. (2021; Zbl 07304635) Full Text: DOI
Spiegelhofer, Lukas The level of distribution of the Thue-Morse sequence. (English) Zbl 07308575 Compos. Math. 156, No. 12, 2560-2587 (2020). MSC: 11N69 11B25 11B85 11A63 11K16 11B83 PDF BibTeX XML Cite \textit{L. Spiegelhofer}, Compos. Math. 156, No. 12, 2560--2587 (2020; Zbl 07308575) Full Text: DOI
Farkas, Izabella Ingrid; Kovács, Attila Some results on simultaneous number systems in the ring of integers of imaginary quadratic fields. (English) Zbl 07307803 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 77-88 (2020). MSC: 11Y55 PDF BibTeX XML Cite \textit{I. I. Farkas} and \textit{A. Kovács}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 77--88 (2020; Zbl 07307803) Full Text: Link
Surer, Paul Representations for complex numbers with integer digits. (English) Zbl 07304534 Res. Number Theory 6, No. 4, Paper No. 47, 24 p. (2020). MSC: 11A63 11B85 11R06 PDF BibTeX XML Cite \textit{P. Surer}, Res. Number Theory 6, No. 4, Paper No. 47, 24 p. (2020; Zbl 07304534) Full Text: DOI
Algom, Amir A simultaneous version of Host’s equidistribution theorem. (English) Zbl 07301829 Trans. Am. Math. Soc. 373, No. 12, 8439-8462 (2020). MSC: 11K16 11A63 28A80 28D05 PDF BibTeX XML Cite \textit{A. Algom}, Trans. Am. Math. Soc. 373, No. 12, 8439--8462 (2020; Zbl 07301829) Full Text: DOI
Li, Y.-Q. Digit frequencies of beta-expansions. (English) Zbl 07301192 Acta Math. Hung. 162, No. 2, 403-418 (2020). MSC: 11A63 11K55 PDF BibTeX XML Cite \textit{Y. Q. Li}, Acta Math. Hung. 162, No. 2, 403--418 (2020; Zbl 07301192) Full Text: DOI
Zhang, Fan; Cheng, Jian; Liu, Tiegang An asymptotic expansion for 1D steady compressible Navier-Stokes equations under nonuniform enthalpy. (English) Zbl 1451.35117 Math. Methods Appl. Sci. 43, No. 9, 5788-5808 (2020). MSC: 35Q30 65D18 68U05 68U07 76N06 34A34 34E05 PDF BibTeX XML Cite \textit{F. Zhang} et al., Math. Methods Appl. Sci. 43, No. 9, 5788--5808 (2020; Zbl 1451.35117) Full Text: DOI
Carlson, Joshua; Goedhart, Eva G.; Harris, Pamela E. Sequences of consecutive factoradic happy numbers. (English) Zbl 07261862 Rocky Mt. J. Math. 50, No. 4, 1241-1252 (2020). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{J. Carlson} et al., Rocky Mt. J. Math. 50, No. 4, 1241--1252 (2020; Zbl 07261862) Full Text: DOI Euclid
Filippov, Vadim I. Integer expansion in systems of translates and dilates of a single function. (English. Russian original) Zbl 1448.42039 Izv. Math. 84, No. 4, 796-806 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 187-197 (2020). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 42C40 41A65 PDF BibTeX XML Cite \textit{V. I. Filippov}, Izv. Math. 84, No. 4, 796--806 (2020; Zbl 1448.42039); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 187--197 (2020) Full Text: DOI
Berthé, Valérie; Frougny, Christiane; Rigo, Michel; Sakarovitch, Jacques The carry propagation of the successor function. (English) Zbl 07242715 Adv. Appl. Math. 120, Article ID 102062, 54 p. (2020). MSC: 11A63 11K16 37A45 37B10 68Q70 68R15 PDF BibTeX XML Cite \textit{V. Berthé} et al., Adv. Appl. Math. 120, Article ID 102062, 54 p. (2020; Zbl 07242715) Full Text: DOI
Lü, Fan; Wu, Jun On dichotomy law for beta-dynamical system in parameter space. (English) Zbl 1452.11098 Math. Z. 296, No. 1-2, 661-683 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 68Q45 68Q99 11A63 PDF BibTeX XML Cite \textit{F. Lü} and \textit{J. Wu}, Math. Z. 296, No. 1--2, 661--683 (2020; Zbl 1452.11098) Full Text: DOI
Dekking, F. Michel Base phi representations and golden mean beta-expansions. (English) Zbl 07240184 Fibonacci Q. 58, No. 1, 38-48 (2020). Reviewer: Jean-Paul Allouche (Paris) MSC: 11A63 11B85 PDF BibTeX XML Cite \textit{F. M. Dekking}, Fibonacci Q. 58, No. 1, 38--48 (2020; Zbl 07240184) Full Text: Link
Tripathi, Amitabha Characterization and enumeration of palindromic numbers whose squares are also palindromic. (English) Zbl 07235601 Rocky Mt. J. Math. 50, No. 3, 1115-1124 (2020). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{A. Tripathi}, Rocky Mt. J. Math. 50, No. 3, 1115--1124 (2020; Zbl 07235601) Full Text: DOI Euclid
Zheng, Lixuan; Wu, Min Uniform recurrence properties for beta-transformation. (English) Zbl 07228300 Nonlinearity 33, No. 9, 4590-4612 (2020). MSC: 11A63 11K55 28A80 PDF BibTeX XML Cite \textit{L. Zheng} and \textit{M. Wu}, Nonlinearity 33, No. 9, 4590--4612 (2020; Zbl 07228300) Full Text: DOI
Kalle, Charlene; Kong, Derong; Langeveld, Niels; Li, Wenxia The \(\beta\)-transformation with a hole at 0. (English) Zbl 1448.11153 Ergodic Theory Dyn. Syst. 40, No. 9, 2482-2514 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 26A30 37B10 37E05 37E15 11A63 68R15 28D05 PDF BibTeX XML Cite \textit{C. Kalle} et al., Ergodic Theory Dyn. Syst. 40, No. 9, 2482--2514 (2020; Zbl 1448.11153) Full Text: DOI
Drmota, Michael; Mauduit, Christian; Rivat, Joël Prime numbers in two bases. (English) Zbl 07226651 Duke Math. J. 169, No. 10, 1809-1876 (2020). MSC: 11A63 11K16 11N60 11L20 11N05 11L03 PDF BibTeX XML Cite \textit{M. Drmota} et al., Duke Math. J. 169, No. 10, 1809--1876 (2020; Zbl 07226651) Full Text: DOI Euclid
Baker, Simon Digit frequencies and self-affine sets with non-empty interior. (English) Zbl 07210453 Ergodic Theory Dyn. Syst. 40, No. 7, 1755-1787 (2020). MSC: 11A63 28A80 11K55 PDF BibTeX XML Cite \textit{S. Baker}, Ergodic Theory Dyn. Syst. 40, No. 7, 1755--1787 (2020; Zbl 07210453) Full Text: DOI
Lü, Fan; Wu, Jun Maximal run-length function for real numbers in beta-dynamical system. (English) Zbl 1446.11148 Nonlinearity 33, No. 6, 2640-2659 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{F. Lü} and \textit{J. Wu}, Nonlinearity 33, No. 6, 2640--2659 (2020; Zbl 1446.11148) Full Text: DOI
Vandehey, Joseph Towards a sharp converse of Wall’s theorem on arithmetic progressions. (English) Zbl 1439.11182 Pac. J. Math. 300, No. 2, 499-509 (2019). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{J. Vandehey}, Pac. J. Math. 300, No. 2, 499--509 (2019; Zbl 1439.11182) Full Text: DOI
Allaart, Pieter; Baker, Simon; Kong, Derong Bifurcation sets arising from non-integer base expansions. (English) Zbl 1435.11102 J. Fractal Geom. 6, No. 4, 301-341 (2019). MSC: 11K55 11A63 28A78 37B10 PDF BibTeX XML Cite \textit{P. Allaart} et al., J. Fractal Geom. 6, No. 4, 301--341 (2019; Zbl 1435.11102) Full Text: DOI arXiv
Xi, Lifeng; Jiang, Kan; Pei, Qiyang Arithmetic progressions in self-similar sets. (English) Zbl 07142660 Front. Math. China 14, No. 5, 957-966 (2019). MSC: 28A80 28A78 11A63 11B25 PDF BibTeX XML Cite \textit{L. Xi} et al., Front. Math. China 14, No. 5, 957--966 (2019; Zbl 07142660) Full Text: DOI
Pethő, Attila; Thuswaldner, Jörg; Weitzer, Mario The finiteness property for shift radix systems with general parameters. (English) Zbl 07133441 Integers 19, Paper A50, 22 p. (2019). MSC: 11A63 37B10 11K16 PDF BibTeX XML Cite \textit{A. Pethő} et al., Integers 19, Paper A50, 22 p. (2019; Zbl 07133441) Full Text: Link arXiv
de la Bretèche, Régis; Stoll, Thomas; Tenenbaum, Gérald Sum of digits and change of base. (Somme des chiffres et changement de base.) (French. English summary) Zbl 1455.11018 Ann. Inst. Fourier 69, No. 6, 2507-2518 (2019). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11K16 11K60 11J82 PDF BibTeX XML Cite \textit{R. de la Bretèche} et al., Ann. Inst. Fourier 69, No. 6, 2507--2518 (2019; Zbl 1455.11018) Full Text: DOI
Lamzouri, Youness; Martin, Bruno On the race between primes with an odd versus an even sum of the last \(k\) binary digits. (English) Zbl 07126907 Funct. Approximatio, Comment. Math. 61, No. 1, 7-25 (2019). MSC: 11N13 11A63 11K16 11N37 PDF BibTeX XML Cite \textit{Y. Lamzouri} and \textit{B. Martin}, Funct. Approximatio, Comment. Math. 61, No. 1, 7--25 (2019; Zbl 07126907) Full Text: DOI Euclid
Kwon, Doyong Sturmian words and Cantor sets arising from unique expansions over ternary alphabets. (English) Zbl 1443.11150 Ergodic Theory Dyn. Syst. 39, No. 10, 2827-2854 (2019). MSC: 11K16 11A63 28A80 37B10 PDF BibTeX XML Cite \textit{D. Kwon}, Ergodic Theory Dyn. Syst. 39, No. 10, 2827--2854 (2019; Zbl 1443.11150) Full Text: DOI
Baker, Simon Exceptional digit frequencies and expansions in non-integer bases. (English) Zbl 07107251 Monatsh. Math. 190, No. 1, 1-31 (2019). MSC: 11A63 11K16 11K55 PDF BibTeX XML Cite \textit{S. Baker}, Monatsh. Math. 190, No. 1, 1--31 (2019; Zbl 07107251) Full Text: DOI arXiv
Aloui, Karam; Mkaouar, Mohamed; Wannes, Walid Power-free values of strongly \(Q\)-additive functions. (English) Zbl 07088947 Taiwanese J. Math. 23, No. 4, 777-798 (2019). MSC: 11A63 11K16 11L03 11N05 11N69 PDF BibTeX XML Cite \textit{K. Aloui} et al., Taiwanese J. Math. 23, No. 4, 777--798 (2019; Zbl 07088947) Full Text: DOI Euclid
Dajani, Karma; Jiang, Kan; Kong, Derong; Li, Wenxia Multiple expansions of real numbers with digits set \(\{ 0,1,q\}\). (English) Zbl 07052012 Math. Z. 291, No. 3-4, 1605-1619 (2019). MSC: 11A63 11K55 37B10 PDF BibTeX XML Cite \textit{K. Dajani} et al., Math. Z. 291, No. 3--4, 1605--1619 (2019; Zbl 07052012) Full Text: DOI arXiv
Ndong, Florent Nguema Zeta function and negative beta-shifts. (English) Zbl 07045089 Monatsh. Math. 188, No. 4, 717-751 (2019). MSC: 11A63 11B05 11M06 37E05 PDF BibTeX XML Cite \textit{F. N. Ndong}, Monatsh. Math. 188, No. 4, 717--751 (2019; Zbl 07045089) Full Text: DOI
Drmota, Michael; Mauduit, Christian; Rivat, Joël Normality along squares. (English) Zbl 1430.11010 J. Eur. Math. Soc. (JEMS) 21, No. 2, 507-548 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 11A63 11B85 11K16 11L07 37B10 PDF BibTeX XML Cite \textit{M. Drmota} et al., J. Eur. Math. Soc. (JEMS) 21, No. 2, 507--548 (2019; Zbl 1430.11010) Full Text: DOI
Stipulanti, Manon Convergence of Pascal-like triangles in Parry-Bertrand numeration systems. (English) Zbl 1412.11032 Theor. Comput. Sci. 758, 42-60 (2019). MSC: 11B65 11A63 28A80 68R15 PDF BibTeX XML Cite \textit{M. Stipulanti}, Theor. Comput. Sci. 758, 42--60 (2019; Zbl 1412.11032) Full Text: DOI arXiv
Alcaraz Barrera, Rafael; Baker, Simon; Kong, Derong Entropy, topological transitivity, and dimensional properties of unique \(q\)-expansions. (English) Zbl 1435.11016 Trans. Am. Math. Soc. 371, No. 5, 3209-3258 (2019). MSC: 11A63 11K55 37B10 37B40 68R15 PDF BibTeX XML Cite \textit{R. Alcaraz Barrera} et al., Trans. Am. Math. Soc. 371, No. 5, 3209--3258 (2019; Zbl 1435.11016) Full Text: DOI arXiv
Kala, Vítězslav; Vávra, Tomáš Periodic representations in algebraic bases. (English) Zbl 06997679 Monatsh. Math. 188, No. 1, 109-119 (2019). MSC: 11A63 11K16 11R04 PDF BibTeX XML Cite \textit{V. Kala} and \textit{T. Vávra}, Monatsh. Math. 188, No. 1, 109--119 (2019; Zbl 06997679) Full Text: DOI
Komornik, Vilmos; Kong, Derong Bases in which some numbers have exactly two expansions. (English) Zbl 1447.11006 J. Number Theory 195, 226-268 (2019). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 37B10 37F20 PDF BibTeX XML Cite \textit{V. Komornik} and \textit{D. Kong}, J. Number Theory 195, 226--268 (2019; Zbl 1447.11006) Full Text: DOI arXiv
Hofer, Roswitha; Pirsic, Ísabel An extension of the digital method based on \(b\)-adic integers. (English) Zbl 07099382 Unif. Distrib. Theory 13, No. 1, 87-107 (2018). MSC: 11J71 11K16 11K38 PDF BibTeX XML Cite \textit{R. Hofer} and \textit{Í. Pirsic}, Unif. Distrib. Theory 13, No. 1, 87--107 (2018; Zbl 07099382) Full Text: DOI
Akman, Fusun Polynomials in base \(x\) and the prime-irreducible affinity. (English) Zbl 07063855 Missouri J. Math. Sci. 30, No. 2, 197-217 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11A41 11N32 11A63 11K16 11Y05 PDF BibTeX XML Cite \textit{F. Akman}, Missouri J. Math. Sci. 30, No. 2, 197--217 (2018; Zbl 07063855) Full Text: Euclid
Gao, Xiang; Hu, Hui; Li, Zhihui A result on the maximal length of consecutive 0 digits in \(\beta\)-expansions. (English) Zbl 1424.11113 Turk. J. Math. 42, No. 2, 656-665 (2018). MSC: 11K55 11A63 28A80 PDF BibTeX XML Cite \textit{X. Gao} et al., Turk. J. Math. 42, No. 2, 656--665 (2018; Zbl 1424.11113) Full Text: DOI
Hejda, Tomáš Multiple tilings associated to \(d\)-Bonacci beta-expansions. (English) Zbl 1445.11005 Monatsh. Math. 187, No. 2, 275-291 (2018). MSC: 11A63 11R06 37B10 52C23 PDF BibTeX XML Cite \textit{T. Hejda}, Monatsh. Math. 187, No. 2, 275--291 (2018; Zbl 1445.11005) Full Text: DOI arXiv
Becher, Verónica; Carton, Olivier Normal numbers and computer science. (English) Zbl 1407.11091 Berthé, Valérie (ed.) et al., Sequences, groups, and number theory. Cham: Birkhäuser. Trends Math., 233-269 (2018). MSC: 11K16 11A63 11-02 PDF BibTeX XML Cite \textit{V. Becher} and \textit{O. Carton}, in: Sequences, groups, and number theory. Cham: Birkhäuser. 233--269 (2018; Zbl 1407.11091) Full Text: DOI
Müllner, Clemens The Rudin-Shapiro sequence and similar sequences are normal along squares. (English) Zbl 1446.11012 Can. J. Math. 70, No. 5, 1096-1129 (2018). MSC: 11A63 11B85 11L03 11N60 60F05 11K16 PDF BibTeX XML Cite \textit{C. Müllner}, Can. J. Math. 70, No. 5, 1096--1129 (2018; Zbl 1446.11012) Full Text: DOI arXiv
Dajani, Karma; Jiang, Kan On points without universal expansions. (English) Zbl 1422.11166 Acta Arith. 184, No. 3, 231-245 (2018). MSC: 11K55 28D05 28A80 11A63 PDF BibTeX XML Cite \textit{K. Dajani} and \textit{K. Jiang}, Acta Arith. 184, No. 3, 231--245 (2018; Zbl 1422.11166) Full Text: DOI
Hare, Kevin G.; Masáková, Zuzana; Vávra, Tomáš On the spectra of Pisot-cyclotomic numbers. (English) Zbl 1395.52026 Lett. Math. Phys. 108, No. 7, 1729-1756 (2018). MSC: 52C23 11K16 11A63 PDF BibTeX XML Cite \textit{K. G. Hare} et al., Lett. Math. Phys. 108, No. 7, 1729--1756 (2018; Zbl 1395.52026) Full Text: DOI
Liu, Jia; Lü, Meiying; Zhang, Zhenliang On the exceptional sets in Erdös-Rényi limit theorem of \(\beta\)-expansion. (English) Zbl 1401.11118 Int. J. Number Theory 14, No. 7, 1919-1934 (2018). Reviewer: Stelian Mihalas (Timişoara) MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{J. Liu} et al., Int. J. Number Theory 14, No. 7, 1919--1934 (2018; Zbl 1401.11118) Full Text: DOI
Dajani, Karma; Komornik, Vilmos; Kong, Derong; Li, Wenxia Algebraic sums and products of univoque bases. (English) Zbl 1403.11055 Indag. Math., New Ser. 29, No. 4, 1087-1104 (2018). Reviewer: Simon Kristensen (Aarhus) MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{K. Dajani} et al., Indag. Math., New Ser. 29, No. 4, 1087--1104 (2018; Zbl 1403.11055) Full Text: DOI arXiv
Bauer, Mark; Bennett, Michael A. Ramanujan-Nagell cubics. (English) Zbl 1439.11100 Rocky Mt. J. Math. 48, No. 2, 385-412 (2018). MSC: 11D61 11A63 11K16 11J68 PDF BibTeX XML Cite \textit{M. Bauer} and \textit{M. A. Bennett}, Rocky Mt. J. Math. 48, No. 2, 385--412 (2018; Zbl 1439.11100) Full Text: DOI Euclid
Li, Yao-Qiang; Li, Bing Distributions of full and non-full words in beta-expansions. (English) Zbl 1442.11115 J. Number Theory 190, 311-332 (2018). MSC: 11K99 11A63 37B10 PDF BibTeX XML Cite \textit{Y.-Q. Li} and \textit{B. Li}, J. Number Theory 190, 311--332 (2018; Zbl 1442.11115) Full Text: DOI arXiv
Bugeaud, Yann On the digital representation of integers with bounded prime factors. (English) Zbl 1441.11015 Osaka J. Math. 55, No. 2, 315-324 (2018). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11A63 11J86 11J87 11K16 PDF BibTeX XML Cite \textit{Y. Bugeaud}, Osaka J. Math. 55, No. 2, 315--324 (2018; Zbl 1441.11015) Full Text: Euclid arXiv
Krenn, Daniel; Ziegler, Volker Non-minimality of the width-\(w\) non-adjacent form in conjunction with trace one \(\tau\)-adic digit expansions and Koblitz curves in characteristic two. (English) Zbl 1432.11011 Math. Comput. 87, No. 310, 821-854 (2018). MSC: 11A63 11D75 11Y50 11H06 11J86 PDF BibTeX XML Cite \textit{D. Krenn} and \textit{V. Ziegler}, Math. Comput. 87, No. 310, 821--854 (2018; Zbl 1432.11011) Full Text: DOI arXiv
Deshouillers, Jean-Marc; Habsieger, Laurent; Laishram, Shanta; Landreau, Bernard Sums of the digits in bases 2 and 3. (English) Zbl 1431.11094 Elsholtz, Christian (ed.) et al., Number theory – Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy’s 60th birthday. Cham: Springer. 211-217 (2017). MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{J.-M. Deshouillers} et al., in: Number theory -- Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy's 60th birthday. Cham: Springer. 211--217 (2017; Zbl 1431.11094) Full Text: DOI
Fajraoui, Noura; Marelli, Stefano; Sudret, Bruno Sequential design of experiment for sparse polynomial chaos expansions. (English) Zbl 06861783 SIAM/ASA J. Uncertain. Quantif. 5, 1061-1085 (2017). MSC: 68Q25 68R10 68U05 PDF BibTeX XML Cite \textit{N. Fajraoui} et al., SIAM/ASA J. Uncertain. Quantif. 5, 1061--1085 (2017; Zbl 06861783) Full Text: DOI
Krutki, Tamás; Nagy, Gábor On simultaneous number systems with 3 bases. (English) Zbl 1399.11033 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 153-163 (2017). MSC: 11A63 PDF BibTeX XML Cite \textit{T. Krutki} and \textit{G. Nagy}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 153--163 (2017; Zbl 1399.11033)
Kallós, Gábor Supplement to paper “On some problems of expansions investigated by P. Erdős et al.”. (English) Zbl 1399.11030 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 97-103 (2017). MSC: 11A63 11A99 PDF BibTeX XML Cite \textit{G. Kallós}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 97--103 (2017; Zbl 1399.11030)
Hu, Hui; Li, Zhihui; Yu, Yueli A note on \((-\beta)\)-shifts with the specification property. (English) Zbl 1399.11134 Publ. Math. 91, No. 1-2, 123-131 (2017). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 11K55 11A63 28A78 PDF BibTeX XML Cite \textit{H. Hu} et al., Publ. Math. 91, No. 1--2, 123--131 (2017; Zbl 1399.11134) Full Text: DOI
Komornik, Villmos; Pedicini, Marco; Pethő, Attila Multiple common expansions in non-integer bases. (English) Zbl 1389.11019 Acta Sci. Math. 83, No. 1-2, 51-60 (2017). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A63 11B83 PDF BibTeX XML Cite \textit{V. Komornik} et al., Acta Sci. Math. 83, No. 1--2, 51--60 (2017; Zbl 1389.11019) Full Text: DOI
Krčmáriková, Z.; Steiner, W.; Vávra, T. Finite beta-expansions with negative bases. (English) Zbl 1389.11020 Acta Math. Hung. 152, No. 2, 485-504 (2017). Reviewer: Štefan Porubský (Praha) MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{Z. Krčmáriková} et al., Acta Math. Hung. 152, No. 2, 485--504 (2017; Zbl 1389.11020) Full Text: DOI
Kong, Derong; Li, Wenxia; Lü, Fan; de Vries, Martijn Univoque bases and Hausdorff dimension. (English) Zbl 1417.11006 Monatsh. Math. 184, No. 3, 443-458 (2017). MSC: 11A63 11K55 37B10 28A78 PDF BibTeX XML Cite \textit{D. Kong} et al., Monatsh. Math. 184, No. 3, 443--458 (2017; Zbl 1417.11006) Full Text: DOI
Airey, Dylan; Mance, Bill Normality of different orders for Cantor series expansions. (English) Zbl 1414.11085 Nonlinearity 30, No. 10, 3719-3742 (2017). MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{D. Airey} and \textit{B. Mance}, Nonlinearity 30, No. 10, 3719--3742 (2017; Zbl 1414.11085) Full Text: DOI
Ge, Yuehua; Tan, Bo Periodicity of the unique \(\beta\)-expansions. (English) Zbl 1389.11017 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 1, 33-46 (2017). MSC: 11A63 PDF BibTeX XML Cite \textit{Y. Ge} and \textit{B. Tan}, Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 1, 33--46 (2017; Zbl 1389.11017) Full Text: DOI
Müllner, Clemens; Spiegelhofer, Lukas Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II. (English) Zbl 1400.11119 Isr. J. Math. 220, No. 2, 691-738 (2017). MSC: 11K16 11A63 11B25 11B83 PDF BibTeX XML Cite \textit{C. Müllner} and \textit{L. Spiegelhofer}, Isr. J. Math. 220, No. 2, 691--738 (2017; Zbl 1400.11119) Full Text: DOI
Baker, S.; Masáková, Z.; Pelantová, E.; Vávra, T. On periodic representations in non-Pisot bases. (English) Zbl 1396.11010 Monatsh. Math. 184, No. 1, 1-19 (2017). MSC: 11A63 11K16 11R06 PDF BibTeX XML Cite \textit{S. Baker} et al., Monatsh. Math. 184, No. 1, 1--19 (2017; Zbl 1396.11010) Full Text: DOI
Baker, Simon; Kong, Derong Unique expansions and intersections of Cantor sets. (English) Zbl 1404.11007 Nonlinearity 30, No. 4, 1497-1512 (2017). MSC: 11A63 11K55 37B10 37B40 28A78 PDF BibTeX XML Cite \textit{S. Baker} and \textit{D. Kong}, Nonlinearity 30, No. 4, 1497--1512 (2017; Zbl 1404.11007) Full Text: DOI arXiv
Cao, Chunyun; Chen, Yuanhong The run-length function of the \(\beta\)-expansion of the unit. (English) Zbl 1426.11078 J. Number Theory 177, 248-262 (2017). MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{C. Cao} and \textit{Y. Chen}, J. Number Theory 177, 248--262 (2017; Zbl 1426.11078) Full Text: DOI
Swart, B. Baker; Beck, K. A.; Crook, S.; Eubanks-Turner, C.; Grundman, H. G.; Mei, M.; Zack, L. Augmented generalized happy functions. (English) Zbl 1380.11005 Rocky Mt. J. Math. 47, No. 2, 403-417 (2017). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{B. B. Swart} et al., Rocky Mt. J. Math. 47, No. 2, 403--417 (2017; Zbl 1380.11005) Full Text: DOI Euclid
Baker, Simon; Dajani, Karma Induced random \(\beta \)-transformation. (English) Zbl 1428.11137 Acta Arith. 178, No. 1, 1-14 (2017). MSC: 11K55 11A63 37A44 PDF BibTeX XML Cite \textit{S. Baker} and \textit{K. Dajani}, Acta Arith. 178, No. 1, 1--14 (2017; Zbl 1428.11137) Full Text: DOI arXiv
Scheerer, Adrian-Maria Normality in Pisot numeration systems. (English) Zbl 1368.11074 Ergodic Theory Dyn. Syst. 37, No. 2, 664-672 (2017). Reviewer: Peter Bundschuh (Köln) MSC: 11K16 11A63 37A45 PDF BibTeX XML Cite \textit{A.-M. Scheerer}, Ergodic Theory Dyn. Syst. 37, No. 2, 664--672 (2017; Zbl 1368.11074) Full Text: DOI arXiv
Leroy, Julien; Rigo, Michel; Stipulanti, Manon Behavior of digital sequences through exotic numeration systems. (English) Zbl 1376.11004 Electron. J. Comb. 24, No. 1, Research Paper P1.44, 36 p. (2017). MSC: 11A63 05A10 11B85 41A60 PDF BibTeX XML Cite \textit{J. Leroy} et al., Electron. J. Comb. 24, No. 1, Research Paper P1.44, 36 p. (2017; Zbl 1376.11004) Full Text: Link arXiv
Allaart, Pieter C. On univoque and strongly univoque sets. (English) Zbl 1362.11074 Adv. Math. 308, 575-598 (2017). MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{P. C. Allaart}, Adv. Math. 308, 575--598 (2017; Zbl 1362.11074) Full Text: DOI arXiv
Pethỏ, Attila; Varga, Péter Canonical number systems over imaginary quadratic Euclidean domains. (English) Zbl 1420.11018 Colloq. Math. 146, No. 2, 165-186 (2017). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{A. Pethỏ} and \textit{P. Varga}, Colloq. Math. 146, No. 2, 165--186 (2017; Zbl 1420.11018) Full Text: DOI
Kong, Derong; Li, Wenxia; Zou, Yuru On small bases which admit points with two expansions. (English) Zbl 1419.11013 J. Number Theory 173, 100-128 (2017). MSC: 11A63 37B10 PDF BibTeX XML Cite \textit{D. Kong} et al., J. Number Theory 173, 100--128 (2017; Zbl 1419.11013) Full Text: DOI
Komornik, Vilmos; Kong, Derong; Li, Wenxia Hausdorff dimension of univoque sets and devil’s staircase. (English) Zbl 1362.11075 Adv. Math. 305, 165-196 (2017). MSC: 11K55 11A63 11K50 PDF BibTeX XML Cite \textit{V. Komornik} et al., Adv. Math. 305, 165--196 (2017; Zbl 1362.11075) Full Text: DOI arXiv
Eminyan, K. M. Generalized problem of divisors with natural numbers whose binary expansions have special type. (Russian. English summary) Zbl 1435.11128 Chebyshevskiĭ Sb. 17, No. 1(57), 270-283 (2016). MSC: 11N37 11N05 11A63 PDF BibTeX XML Cite \textit{K. M. Eminyan}, Chebyshevskiĭ Sb. 17, No. 1(57), 270--283 (2016; Zbl 1435.11128) Full Text: MNR
Allouche, Jean-Paul On a Golay-Shapiro-like sequence. (English) Zbl 1445.11078 Unif. Distrib. Theory 11, No. 2, 205-210 (2016). MSC: 11K16 11B85 PDF BibTeX XML Cite \textit{J.-P. Allouche}, Unif. Distrib. Theory 11, No. 2, 205--210 (2016; Zbl 1445.11078) Full Text: DOI Link
Kallós, Gábor On some problems of expansions investigated by P. Erdős et al. (English) Zbl 1389.11018 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 239-259 (2016). MSC: 11A63 11A99 PDF BibTeX XML Cite \textit{G. Kallós}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 239--259 (2016; Zbl 1389.11018)
Pratsiovytï, M. V.; Klimchuk, S. O.; Makarchuk, O. P. Level sets of asymptotic mean of digit function for 4-adic representation of real number. (English) Zbl 1363.28016 Methods Funct. Anal. Topol. 22, No. 2, 184-196 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 28A80 11A63 11K16 PDF BibTeX XML Cite \textit{M. V. Pratsiovytï} et al., Methods Funct. Anal. Topol. 22, No. 2, 184--196 (2016; Zbl 1363.28016) Full Text: arXiv
Dunkel, Alexander; Powell, Alexander M.; Spaeth, Anneliese H.; Yılmaz, Özgur Quantization, finite frames, and error diffusion. (English) Zbl 1368.94029 Okoudjou, Kasso A. (ed.), Finite frame theory. A complete introduction to overcompleteness. AMS short course, San Antonio, TX, USA, January 8–9, 2015. Lecture notes. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2019-2/hbk; 978-1-4704-3212-6/ebook). Proceedings of Symposia in Applied Mathematics 73, 143-173 (2016). MSC: 94A12 42C15 65T60 PDF BibTeX XML Cite \textit{A. Dunkel} et al., Proc. Symp. Appl. Math. 73, 143--173 (2016; Zbl 1368.94029) Full Text: DOI
Iacò, Maria Rita; Steiner, Wolfgang; Tichy, Robert F. Linear recursive odometers and beta-expansions. (English) Zbl 1437.11013 Unif. Distrib. Theory 11, No. 1, 175-186 (2016). MSC: 11A63 11K16 11B37 PDF BibTeX XML Cite \textit{M. R. Iacò} et al., Unif. Distrib. Theory 11, No. 1, 175--186 (2016; Zbl 1437.11013) Full Text: DOI
Zou, Yuru; Li, Wenxia; Lu, Jian On the cardinality of \(\beta\)-expansions of some numbers. (English) Zbl 1362.11009 Int. J. Number Theory 12, No. 6, 1497-1507 (2016). Reviewer: Thomas Stoll (Vandœuvre-lés Nancy) MSC: 11A63 11K55 28A80 PDF BibTeX XML Cite \textit{Y. Zou} et al., Int. J. Number Theory 12, No. 6, 1497--1507 (2016; Zbl 1362.11009) Full Text: DOI
Airey, Dylan; Mance, Bill; Vandehey, Joseph Normal number constructions for Cantor series with slowly growing bases. (English) Zbl 1389.11108 Czech. Math. J. 66, No. 2, 465-480 (2016). Reviewer: Robert F. Tichy (Graz) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{D. Airey} et al., Czech. Math. J. 66, No. 2, 465--480 (2016; Zbl 1389.11108) Full Text: DOI Link arXiv
Airey, Dylan; Mance, Bill The Hausdorff dimension of sets of numbers defined by their \(Q\)-Cantor series expansions. (English) Zbl 1350.28007 J. Fractal Geom. 3, No. 2, 163-186 (2016). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 28A80 11K16 11A63 PDF BibTeX XML Cite \textit{D. Airey} and \textit{B. Mance}, J. Fractal Geom. 3, No. 2, 163--186 (2016; Zbl 1350.28007) Full Text: DOI
de Vries, Martijn; Komornik, Vilmos; Loreti, Paola Topology of the set of univoque bases. (English) Zbl 1362.11010 Topology Appl. 205, 117-137 (2016). MSC: 11A63 11K50 11K55 37B10 PDF BibTeX XML Cite \textit{M. de Vries} et al., Topology Appl. 205, 117--137 (2016; Zbl 1362.11010) Full Text: DOI
Hu, Hui; Tong, Xin; Yu, Yueli On consecutive 0 digits in the \(\beta\)-expansion of 1. (English) Zbl 1414.11097 J. Number Theory 166, 219-234 (2016). MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{H. Hu} et al., J. Number Theory 166, 219--234 (2016; Zbl 1414.11097) Full Text: DOI
Tong, Xin; Yu, Yueli; Zhao, Yanfen On the maximal length of consecutive zero digits of \(\beta\)-expansions. (English) Zbl 1337.11053 Int. J. Number Theory 12, No. 3, 625-633 (2016). Reviewer: Marius Iosifescu (Bucureşti) MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{X. Tong} et al., Int. J. Number Theory 12, No. 3, 625--633 (2016; Zbl 1337.11053) Full Text: DOI
Drmota, Michael; Kauers, Manuel; Spiegelhofer, Lukas On a conjecture of Cusick concerning the sum of digits of \(n\) and \(n+t\). (English) Zbl 1372.11010 SIAM J. Discrete Math. 30, No. 2, 621-649 (2016). MSC: 11A63 05A16 11B50 11B65 PDF BibTeX XML Cite \textit{M. Drmota} et al., SIAM J. Discrete Math. 30, No. 2, 621--649 (2016; Zbl 1372.11010) Full Text: DOI arXiv
Madritsch, Manfred G.; Mance, Bill Construction of \(\mu \)-normal sequences. (English) Zbl 1347.11057 Monatsh. Math. 179, No. 2, 259-280 (2016). Reviewer: Robert F. Tichy (Graz) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{M. G. Madritsch} and \textit{B. Mance}, Monatsh. Math. 179, No. 2, 259--280 (2016; Zbl 1347.11057) Full Text: DOI arXiv
Becher, Verónica; Bugeaud, Yann; Slaman, Theodore A. On simply normal numbers to different bases. (English) Zbl 1343.11065 Math. Ann. 364, No. 1-2, 125-150 (2016). Reviewer: Thomas Stoll (Vandœuvre-lés Nancy) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{V. Becher} et al., Math. Ann. 364, No. 1--2, 125--150 (2016; Zbl 1343.11065) Full Text: DOI arXiv
Hejda, Tomáš; Pelantová, Edita Spectral properties of cubic complex Pisot units. (English) Zbl 1400.11022 Math. Comput. 85, No. 297, 401-421 (2016). MSC: 11A63 11H99 11K16 52C23 PDF BibTeX XML Cite \textit{T. Hejda} and \textit{E. Pelantová}, Math. Comput. 85, No. 297, 401--421 (2016; Zbl 1400.11022) Full Text: DOI arXiv
Zou, Yuru; Kong, Derong On a problem of countable expansions. (English) Zbl 1362.11008 J. Number Theory 158, 134-150 (2016). MSC: 11A63 37A45 PDF BibTeX XML Cite \textit{Y. Zou} and \textit{D. Kong}, J. Number Theory 158, 134--150 (2016; Zbl 1362.11008) Full Text: DOI arXiv
Komornik, Vilmos Optimal expansions in noninteger bases. II. (English) Zbl 1353.11011 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 58, 73-82 (2015). MSC: 11A63 11K16 37A45 PDF BibTeX XML Cite \textit{V. Komornik}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 58, 73--82 (2015; Zbl 1353.11011)
Airey, Dylan; Mance, Bill Normality preserving operations for Cantor series expansions and associated fractals. I. (English) Zbl 1361.11048 Ill. J. Math. 59, No. 3, 531-543 (2015). Reviewer: Wolfgang Steiner (Sydney) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{D. Airey} and \textit{B. Mance}, Ill. J. Math. 59, No. 3, 531--543 (2015; Zbl 1361.11048) Full Text: Euclid
Costello, Patrick Smith numbers from primes with small digits. (English) Zbl 1414.11011 Missouri J. Math. Sci. 27, No. 1, 10-15 (2015). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{P. Costello}, Missouri J. Math. Sci. 27, No. 1, 10--15 (2015; Zbl 1414.11011) Full Text: Euclid
Airey, Dylan; Mance, Bill; Vandehey, Joseph Normality preserving operations for Cantor series expansions and associated fractals. II. (English) Zbl 1377.11082 New York J. Math. 21, 1311-1326 (2015). MSC: 11K16 11A63 28A80 PDF BibTeX XML Cite \textit{D. Airey} et al., New York J. Math. 21, 1311--1326 (2015; Zbl 1377.11082) Full Text: EMIS
Hochman, Michael; Shmerkin, Pablo Equidistribution from fractal measures. (English) Zbl 1409.11054 Invent. Math. 202, No. 1, 427-479 (2015). MSC: 11K16 11A63 28A80 28D05 PDF BibTeX XML Cite \textit{M. Hochman} and \textit{P. Shmerkin}, Invent. Math. 202, No. 1, 427--479 (2015; Zbl 1409.11054) Full Text: DOI arXiv
Wintraecken, M. H. M. J.; Vegter, G. On the optimal triangulation of convex hypersurfaces, whose vertices lie in ambient space. (English) Zbl 1325.41018 Math. Comput. Sci. 9, No. 3, 345-353 (2015). MSC: 41A60 41A50 68U05 68U07 PDF BibTeX XML Cite \textit{M. H. M. J. Wintraecken} and \textit{G. Vegter}, Math. Comput. Sci. 9, No. 3, 345--353 (2015; Zbl 1325.41018) Full Text: DOI
Saunders, J. C. Sums of digits in \(q\)-ary expansions. (English) Zbl 1369.11005 Int. J. Number Theory 11, No. 2, 593-611 (2015). MSC: 11A63 11Y55 PDF BibTeX XML Cite \textit{J. C. Saunders}, Int. J. Number Theory 11, No. 2, 593--611 (2015; Zbl 1369.11005) Full Text: DOI arXiv
Li, Brian; Mance, Bill Number theoretic applications of a class of Cantor series fractal functions. II. (English) Zbl 1320.11068 Int. J. Number Theory 11, No. 2, 407-435 (2015). Reviewer: Anton Shutov (Vladimir) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{B. Li} and \textit{B. Mance}, Int. J. Number Theory 11, No. 2, 407--435 (2015; Zbl 1320.11068) Full Text: DOI arXiv
Pollack, Paul; Vandehey, Joseph Some normal numbers generated by arithmetic functions. (English) Zbl 1318.11096 Can. Math. Bull. 58, No. 1, 160-173 (2015). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11K16 11A63 11N25 11N37 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{J. Vandehey}, Can. Math. Bull. 58, No. 1, 160--173 (2015; Zbl 1318.11096) Full Text: DOI arXiv
Masáková, Zuzana; Pastirčáková, Kateřina; Pelantová, Edita Description of spectra of quadratic Pisot units. (English) Zbl 1316.11067 J. Number Theory 150, 168-190 (2015). Reviewer: Anton Shutov (Vladimir) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{Z. Masáková} et al., J. Number Theory 150, 168--190 (2015; Zbl 1316.11067) Full Text: DOI arXiv