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
Dajani, Karma; Kalle, Charlene Invariant measures, matching and the frequency of 0 for signed binary expansions. (English) Zbl 07285665 Publ. Res. Inst. Math. Sci. 56, No. 4, 701-742 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37E05 28D05 37A44 37E15 37A05 PDF BibTeX XML Cite \textit{K. Dajani} and \textit{C. Kalle}, Publ. Res. Inst. Math. Sci. 56, No. 4, 701--742 (2020; Zbl 07285665) Full Text: DOI
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
Chen, Haibo Hausdorff dimensions of level sets related to moving digit means. (English) Zbl 1433.11098 J. Math. Anal. Appl. 483, No. 2, Article ID 123649, 16 p. (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K55 28A78 PDF BibTeX XML Cite \textit{H. Chen}, J. Math. Anal. Appl. 483, No. 2, Article ID 123649, 16 p. (2020; Zbl 1433.11098) Full Text: DOI arXiv
Baker, Simon; Kong, Derong On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne. (English) Zbl 1435.28008 Adv. Math. 360, Article ID 106934, 29 p. (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 28A80 11K16 11K55 PDF BibTeX XML Cite \textit{S. Baker} and \textit{D. Kong}, Adv. Math. 360, Article ID 106934, 29 p. (2020; Zbl 1435.28008) Full Text: DOI arXiv
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
Ziegler, Volker Effective results for linear equations in members of two recurrence sequences. (English) Zbl 07087818 Acta Arith. 190, No. 2, 139-169 (2019). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B37 11B39 11A67 PDF BibTeX XML Cite \textit{V. Ziegler}, Acta Arith. 190, No. 2, 139--169 (2019; Zbl 07087818) 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
Zamriĭ, I. V.; Prats’ovytyĭ, M. V. Fractal properties of operators defined in terms of \(Q_s\)-representation of the fractional part of real number. (Ukrainian. English summary) Zbl 1424.11114 Bukovyn. Mat. Zh. 6, No. 1-2, 60-68 (2018). MSC: 11K55 11A67 28A80 PDF BibTeX XML Cite \textit{I. V. Zamriĭ} and \textit{M. V. Prats'ovytyĭ}, Bukovyn. Mat. Zh. 6, No. 1--2, 60--68 (2018; Zbl 1424.11114) Full Text: Link
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
Song, Kunkun; Fang, Lulu; Ma, Jihua Level sets of partial maximal digits for Lüroth expansion. (English) Zbl 1427.11074 Int. J. Number Theory 13, No. 10, 2777-2790 (2017). MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{K. Song} et al., Int. J. Number Theory 13, No. 10, 2777--2790 (2017; Zbl 1427.11074) 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
Dai, Yuxia; Wei, Chun; Wen, Shengyou Some geometric properties of sets defined by digit restrictions. (English) Zbl 1372.11085 Int. J. Number Theory 13, No. 1, 65-75 (2017). Reviewer: Takao Komatsu (Wuhan) MSC: 11K55 30L10 PDF BibTeX XML Cite \textit{Y. Dai} et al., Int. J. Number Theory 13, No. 1, 65--75 (2017; Zbl 1372.11085) Full Text: DOI
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
Zhang, Zhenliang The relative growth rate of the largest digit in continued fraction expansions. (English) Zbl 1362.11076 Lith. Math. J. 56, No. 1, 133-141 (2016). MSC: 11K55 11K50 28A80 PDF BibTeX XML Cite \textit{Z. Zhang}, Lith. Math. J. 56, No. 1, 133--141 (2016; Zbl 1362.11076) Full Text: DOI
Prats’ovytyĭ, M. V.; Zamriĭ, I. V. Continuous functions preserving digit 1 in \(Q_3\)-representation of a number. (Ukrainian. English summary) Zbl 1363.11079 Bukovyn. Mat. Zh. 3, No. 3-4, 142-159 (2015). MSC: 11K55 11A67 28A80 60G30 94A60 PDF BibTeX XML Cite \textit{M. V. Prats'ovytyĭ} and \textit{I. V. Zamriĭ}, Bukovyn. Mat. Zh. 3, No. 3--4, 142--159 (2015; Zbl 1363.11079) Full Text: Link
Dombek, Daniel; Masáková, Zuzana; Ziegler, Volker On distinct unit generated fields that are totally complex. (English) Zbl 1396.11126 J. Number Theory 148, 311-327 (2015). MSC: 11R27 11A63 11A67 11R11 11R16 PDF BibTeX XML Cite \textit{D. Dombek} et al., J. Number Theory 148, 311--327 (2015; Zbl 1396.11126) Full Text: DOI arXiv
Heuberger, Clemens; Krenn, Daniel Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases. (English. French summary) Zbl 1282.11005 J. Théor. Nombres Bordx. 25, No. 2, 353-386 (2013). MSC: 11A63 94A60 11R04 14G50 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{D. Krenn}, J. Théor. Nombres Bordx. 25, No. 2, 353--386 (2013; Zbl 1282.11005) Full Text: DOI Link arXiv
Krenn, Daniel Analysis of the width-\(w\) non-adjacent form in conjunction with hyperelliptic curve cryptography and with lattices. (English) Zbl 1347.11010 Theor. Comput. Sci. 491, 47-70 (2013). MSC: 11A63 11T71 94A60 14G50 PDF BibTeX XML Cite \textit{D. Krenn}, Theor. Comput. Sci. 491, 47--70 (2013; Zbl 1347.11010) Full Text: DOI arXiv
Pedersen, Steen; Phillips, Jason D. On intersections of Cantor sets: Hausdorff measure. (English) Zbl 1294.11134 Opusc. Math. 33, No. 3, 575-598 (2013). Reviewer: Lingmin Liao (Créteil) MSC: 11K55 28A78 28A80 37F99 PDF BibTeX XML Cite \textit{S. Pedersen} and \textit{J. D. Phillips}, Opusc. Math. 33, No. 3, 575--598 (2013; Zbl 1294.11134) Full Text: DOI arXiv
Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker On linear combinations of units with bounded coefficients and double-base digit expansions. (English) Zbl 1325.11119 Monatsh. Math. 171, No. 3-4, 377-394 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R27 11A63 11A67 11R04 11R16 11T99 11Y16 PDF BibTeX XML Cite \textit{D. Krenn} et al., Monatsh. Math. 171, No. 3--4, 377--394 (2013; Zbl 1325.11119) Full Text: DOI arXiv
Heuberger, Clemens; Krenn, Daniel Analysis of width-\(w\) non-adjacent forms to imaginary quadratic bases. (English) Zbl 1300.11013 J. Number Theory 133, No. 5, 1752-1808 (2013). Reviewer: Volker Ziegler (Salzburg) MSC: 11A63 11T71 28A80 94A60 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{D. Krenn}, J. Number Theory 133, No. 5, 1752--1808 (2013; Zbl 1300.11013) Full Text: DOI arXiv
Harman, Glyn Primes whose sum of digits is prime and metric number theory. (English) Zbl 1286.11117 Bull. Lond. Math. Soc. 44, No. 5, 1042-1049 (2012). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11K16 11N36 PDF BibTeX XML Cite \textit{G. Harman}, Bull. Lond. Math. Soc. 44, No. 5, 1042--1049 (2012; Zbl 1286.11117) Full Text: DOI
Ross, Kenneth A. Benford’s law, a growth industry. (English) Zbl 1225.00007 Am. Math. Mon. 118, No. 7, 571-583 (2011). MSC: 00A06 11K16 11K38 PDF BibTeX XML Cite \textit{K. A. Ross}, Am. Math. Mon. 118, No. 7, 571--583 (2011; Zbl 1225.00007) Full Text: DOI
Avanzi, Roberto; Heuberger, Clemens; Prodinger, Helmut Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication. (English) Zbl 1230.94003 Des. Codes Cryptography 58, No. 2, 173-202 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 94A60 11A63 14H52 PDF BibTeX XML Cite \textit{R. Avanzi} et al., Des. Codes Cryptography 58, No. 2, 173--202 (2011; Zbl 1230.94003) Full Text: DOI
Madritsch, Manfred G. Waring’s problem with digital restrictions in \(\mathbb F_q[X]\). (English) Zbl 1249.11107 Math. Slovaca 60, No. 6, 801-810 (2010). Reviewer: Stephan Wagner (Stellenbosch) MSC: 11T23 11A63 11P05 PDF BibTeX XML Cite \textit{M. G. Madritsch}, Math. Slovaca 60, No. 6, 801--810 (2010; Zbl 1249.11107) Full Text: DOI
Dlugosz, Stephan; Müller-Funk, Ulrich The value of the last digit: statistical fraud detection with digit analysis. (English) Zbl 1306.60002 Adv. Data Anal. Classif., ADAC 3, No. 3, 281-290 (2009). MSC: 62E10 62P20 91B99 11K16 PDF BibTeX XML Cite \textit{S. Dlugosz} and \textit{U. Müller-Funk}, Adv. Data Anal. Classif., ADAC 3, No. 3, 281--290 (2009; Zbl 1306.60002) Full Text: DOI
Madritsch, Manfred G.; Thuswaldner, Jörg M. Weyl sums in \(\mathbb F_q[x]\) with digital restrictions. (English) Zbl 1176.11066 Finite Fields Appl. 14, No. 4, 877-896 (2008). Reviewer: Luis Gallardo (Brest) MSC: 11T24 11T06 11T55 11L15 PDF BibTeX XML Cite \textit{M. G. Madritsch} and \textit{J. M. Thuswaldner}, Finite Fields Appl. 14, No. 4, 877--896 (2008; Zbl 1176.11066) Full Text: DOI
Lolbert, Tamás On the non-existence of a general Benford’s law. (English) Zbl 1140.60003 Math. Soc. Sci. 55, No. 2, 103-106 (2008). Reviewer: Michael Högele (Berlin) MSC: 60A10 60E10 11K16 PDF BibTeX XML Cite \textit{T. Lolbert}, Math. Soc. Sci. 55, No. 2, 103--106 (2008; Zbl 1140.60003) Full Text: DOI
Guillera Goyanes, Jesús History of formulas and algorithms for \(\pi\). (Historia de las fórmulas y algoritmos para \(\pi\).) (Spanish) Zbl 1213.11203 Gac. R. Soc. Mat. Esp. 10, No. 1, 159-178 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11Y60 11-03 97-03 33C20 33F10 PDF BibTeX XML Cite \textit{J. Guillera Goyanes}, Gac. R. Soc. Mat. Esp. 10, No. 1, 159--178 (2007; Zbl 1213.11203) Full Text: EuDML
Madritsch, Manfred G. A note on normal numbers in matrix number systems. (English) Zbl 1164.11031 Math. Pannonica 18, No. 2, 219-227 (2007). Reviewer: Peter Bundschuh (Köln) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{M. G. Madritsch}, Math. Pannonica 18, No. 2, 219--227 (2007; Zbl 1164.11031)
Wagner, Stephan G. Numbers with fixed sum of digits in linear recurrent number systems. (English) Zbl 1157.11003 Ramanujan J. 14, No. 1, 43-68 (2007). Reviewer: Clemens Heuberger (Graz) MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{S. G. Wagner}, Ramanujan J. 14, No. 1, 43--68 (2007; Zbl 1157.11003) Full Text: DOI
Li, Jian-Lin \(\mu _{m,d}\)-orthogonality and compatible pair. (English) Zbl 1119.42014 J. Funct. Anal. 244, No. 2, 628-638 (2007). Reviewer: Richard A. Zalik (Auburn University) MSC: 42C15 28A80 PDF BibTeX XML Cite \textit{J.-L. Li}, J. Funct. Anal. 244, No. 2, 628--638 (2007; Zbl 1119.42014) Full Text: DOI
Grabner, Peter J.; Heuberger, Clemens On the number of optimal base 2 representations of integers. (English) Zbl 1261.11003 Des. Codes Cryptography 40, No. 1, 25-39 (2006). MSC: 11A63 11K16 11K55 68P25 68W40 94B40 PDF BibTeX XML Cite \textit{P. J. Grabner} and \textit{C. Heuberger}, Des. Codes Cryptography 40, No. 1, 25--39 (2006; Zbl 1261.11003) Full Text: DOI
Heuberger, Clemens; Prodinger, Helmut Analysis of alternative digit sets for nonadjacent representations. (English) Zbl 1094.11007 Monatsh. Math. 147, No. 3, 219-248 (2006). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11A63 28A78 68W40 90C35 94A60 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{H. Prodinger}, Monatsh. Math. 147, No. 3, 219--248 (2006; Zbl 1094.11007) Full Text: DOI
Daili, N. Asymptotic densities in number theory. I: A survey. (English) Zbl 1090.11009 JP J. Algebra Number Theory Appl. 5, No. 3, 513-533 (2005). Reviewer: Pieter Moree (Bonn) MSC: 11B05 60A10 60E05 60E10 11K16 PDF BibTeX XML Cite \textit{N. Daili}, JP J. Algebra Number Theory Appl. 5, No. 3, 513--533 (2005; Zbl 1090.11009)
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut Counting optimal joint digit expansions. (English) Zbl 1087.11004 Integers 5, No. 3, Paper A09, 19 p. (2005). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11A63 11T71 94A60 PDF BibTeX XML Cite \textit{P. J. Grabner} et al., Integers 5, No. 3, Paper A09, 19 p. (2005; Zbl 1087.11004) Full Text: EuDML
Hill, Theodore P.; Schürger, Klaus Regularity of digits and significant digits of random variables. (English) Zbl 1080.60002 Stochastic Processes Appl. 115, No. 10, 1723-1743 (2005). Reviewer: Carlo Sempi (Lecce) MSC: 60B10 60F05 11K16 42A16 PDF BibTeX XML Cite \textit{T. P. Hill} and \textit{K. Schürger}, Stochastic Processes Appl. 115, No. 10, 1723--1743 (2005; Zbl 1080.60002) Full Text: DOI
Heuberger, Clemens Minimal expansions in redundant number systems: Fibonacci bases and greedy algorithms. (English) Zbl 1072.11007 Period. Math. Hung. 49, No. 2, 65-89 (2004). Reviewer: Attila Pethő (Debrecen) MSC: 11A63 11B39 PDF BibTeX XML Cite \textit{C. Heuberger}, Period. Math. Hung. 49, No. 2, 65--89 (2004; Zbl 1072.11007) Full Text: DOI
Little, Max; Heesch, Daniel Chaotic root-finding for a small class of polynomials. (English) Zbl 1066.39018 J. Difference Equ. Appl. 10, No. 11, 949-953 (2004). Reviewer: Antonio Linero Bas (Murcia) MSC: 39A12 37F10 37D45 37B10 37E05 65H05 PDF BibTeX XML Cite \textit{M. Little} and \textit{D. Heesch}, J. Difference Equ. Appl. 10, No. 11, 949--953 (2004; Zbl 1066.39018) Full Text: DOI
Dorfer, Gerhard; Tichy, Robert F. Quadratic algebraic numbers with finite \(b\)-adic expansion on the unit circle and their distribution. (English) Zbl 1088.11022 Math. Nachr. 273, 58-74 (2004). Reviewer: Franz Halter-Koch (Graz) MSC: 11D45 11D09 11E25 11K31 PDF BibTeX XML Cite \textit{G. Dorfer} and \textit{R. F. Tichy}, Math. Nachr. 273, 58--74 (2004; Zbl 1088.11022) Full Text: DOI
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut Distribution results for low-weight binary representations for pairs of integers. (English) Zbl 1050.94009 Theor. Comput. Sci. 319, No. 1-3, 307-331 (2004). Reviewer: Richard A. Mollin (Calgary) MSC: 94A60 14G50 PDF BibTeX XML Cite \textit{P. J. Grabner} et al., Theor. Comput. Sci. 319, No. 1--3, 307--331 (2004; Zbl 1050.94009) Full Text: DOI
Hürlimann, Werner Integer powers and Benford’s law. (English) Zbl 1068.11047 Int. J. Pure Appl. Math. 11, No. 1, 39-46 (2004). Reviewer: L. Heinrich (Augsburg) MSC: 11K16 11B83 11K31 62E20 PDF BibTeX XML Cite \textit{W. Hürlimann}, Int. J. Pure Appl. Math. 11, No. 1, 39--46 (2004; Zbl 1068.11047)
Hürlimann, Werner A generalized Benford law and its application. (English) Zbl 1045.62010 Adv. Appl. Stat. 3, No. 3, 217-228 (2003). Reviewer: Janos Galambos (Philadelphia) MSC: 62E15 65C60 62E17 11B83 11K16 PDF BibTeX XML Cite \textit{W. Hürlimann}, Adv. Appl. Stat. 3, No. 3, 217--228 (2003; Zbl 1045.62010)
Heuberger, Clemens; Prodinger, Helmut Carry propagation in signed digit representations. (English) Zbl 1026.11015 Eur. J. Comb. 24, No. 3, 293-320 (2003). MSC: 11A63 68M07 PDF BibTeX XML Cite \textit{C. Heuberger} and \textit{H. Prodinger}, Eur. J. Comb. 24, No. 3, 293--320 (2003; Zbl 1026.11015) Full Text: DOI
Peres, Yuval; Solomyak, Boris Approximation by polynomials with coefficients \(\pm 1\). (English) Zbl 1081.11509 J. Number Theory 84, No. 2, 185-198 (2000). MSC: 11K16 11R06 11C08 PDF BibTeX XML Cite \textit{Y. Peres} and \textit{B. Solomyak}, J. Number Theory 84, No. 2, 185--198 (2000; Zbl 1081.11509) Full Text: DOI
Praggastis, Brenda Numeration systems and Markov partitions from self similar tilings. (English) Zbl 0984.11008 Trans. Am. Math. Soc. 351, No. 8, 3315-3349 (1999). MSC: 11A63 52C22 37B10 37B50 PDF BibTeX XML Cite \textit{B. Praggastis}, Trans. Am. Math. Soc. 351, No. 8, 3315--3349 (1999; Zbl 0984.11008) Full Text: DOI
Drmota, Michael; Gajdosik, Johannes The parity of the sum-of-digits-function of generalized Zeckendorf representations. (English) Zbl 0926.11006 Fibonacci Q. 36, No. 1, 3-19 (1998). Reviewer: R.F.Tichy (Graz) MSC: 11A63 11B39 11A67 PDF BibTeX XML Cite \textit{M. Drmota} and \textit{J. Gajdosik}, Fibonacci Q. 36, No. 1, 3--19 (1998; Zbl 0926.11006)
Tichy, R. F. Diophantine properties of digital expansions. (English) Zbl 0973.11078 Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29-August 2, 1996. Berlin: de Gruyter. 501-522 (1998). Reviewer: Attila Pethő (Debrecen) MSC: 11K55 11A63 11-02 PDF BibTeX XML Cite \textit{R. F. Tichy}, in: Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29--August 2, 1996. Berlin: de Gruyter. 501--522 (1998; Zbl 0973.11078)
Durner, Alexander Distribution measures and Hausdorff dimensions. (English) Zbl 0919.11054 Forum Math. 9, No. 6, 687-705 (1997). Reviewer: Tibor Šalát (Bratislava) MSC: 11K55 28D20 PDF BibTeX XML Cite \textit{A. Durner}, Forum Math. 9, No. 6, 687--705 (1997; Zbl 0919.11054) Full Text: DOI EuDML
Lagarias, Jeffrey C.; Wang, Yang Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings. (English) Zbl 0893.52015 J. Fourier Anal. Appl. 3, No. 1, 83-102 (1997). MSC: 52C22 28A80 42C15 52C07 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{Y. Wang}, J. Fourier Anal. Appl. 3, No. 1, 83--102 (1997; Zbl 0893.52015) Full Text: DOI EuDML
Lagarias, Jeffrey C.; Wang, Yang Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory. (English) Zbl 0886.11062 J. Number Theory 57, No. 1, 181-197 (1996). MSC: 11R29 42C15 11H06 52C22 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{Y. Wang}, J. Number Theory 57, No. 1, 181--197 (1996; Zbl 0886.11062) Full Text: DOI
Blecksmith, Richard; Laud, Purushottam W. Some exact number theory computations via probability mechanisms. (English) Zbl 0847.11006 Am. Math. Mon. 102, No. 10, 893-903 (1995). Reviewer: V.Berthé (Marseille) MSC: 11A63 11K16 11Y16 60J10 PDF BibTeX XML Cite \textit{R. Blecksmith} and \textit{P. W. Laud}, Am. Math. Mon. 102, No. 10, 893--903 (1995; Zbl 0847.11006) Full Text: DOI
Hill, Theodore P. The significant-digit phenomenon. (English) Zbl 0833.60003 Am. Math. Mon. 102, No. 4, 322-327 (1995). Reviewer: P.Schatte (Freiberg) MSC: 60A10 60E99 11K16 PDF BibTeX XML Cite \textit{T. P. Hill}, Am. Math. Mon. 102, No. 4, 322--327 (1995; Zbl 0833.60003) Full Text: DOI
Vince, Andrew Rep-tiling Euclidean space. (English) Zbl 0832.52005 Aequationes Math. 50, No. 1-2, 191-213 (1995). Reviewer: P.Schmitt (Wien) MSC: 52C20 52C22 11A63 52-02 28A80 PDF BibTeX XML Cite \textit{A. Vince}, Aequationes Math. 50, No. 1--2, 191--213 (1995; Zbl 0832.52005) Full Text: DOI EuDML
Girstmair, Kurt A “popular” class number formula. (English) Zbl 0839.11049 Am. Math. Mon. 101, No. 10, 997-1001 (1994). Reviewer: R.Mollin (Calgary) MSC: 11R11 11R29 PDF BibTeX XML Cite \textit{K. Girstmair}, Am. Math. Mon. 101, No. 10, 997--1001 (1994; Zbl 0839.11049) Full Text: DOI
Jäger, M. The Hausdorff-dimension of the boundary of a unit-interval of a number system. (English) Zbl 0823.11044 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 14, 79-90 (1994). Reviewer: P.Hellekalek (Salzburg) MSC: 11K55 PDF BibTeX XML Cite \textit{M. Jäger}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 14, 79--90 (1994; Zbl 0823.11044)
Grabner, J. P.; Pethö, A.; Tichy, R. F.; Woeginger, G. J. Associativity of recurrence multiplication. (English) Zbl 0815.11011 Appl. Math. Lett. 7, No. 4, 85-90 (1994). Reviewer: G.Larcher (Salzburg) MSC: 11B37 11A63 11R06 PDF BibTeX XML Cite \textit{J. P. Grabner} et al., Appl. Math. Lett. 7, No. 4, 85--90 (1994; Zbl 0815.11011) Full Text: DOI
Grabner, P. J.; Tichy, R. F.; Nemes, I.; Pethö, A. Generalized Zeckendorf expansions. (English) Zbl 0792.11002 Appl. Math. Lett. 7, No. 2, 25-28 (1994). MSC: 11A67 11B37 11R06 PDF BibTeX XML Cite \textit{P. J. Grabner} et al., Appl. Math. Lett. 7, No. 2, 25--28 (1994; Zbl 0792.11002) Full Text: DOI
Erdős, Paul; Joó, M.; Joó, I. On a problem of Tamas Varga. (English) Zbl 0787.11002 Bull. Soc. Math. Fr. 120, No. 4, 507-521 (1992). Reviewer: A.Knopfmacher (Wits) MSC: 11A63 11K16 00A07 PDF BibTeX XML Cite \textit{P. Erdős} et al., Bull. Soc. Math. Fr. 120, No. 4, 507--521 (1992; Zbl 0787.11002) Full Text: DOI Numdam EuDML
Indlekofer, Karl-Heinz; Knopfmacher, Arnold; Knopfmacher, John Alternating Balkema-Oppenheim expansions of real numbers. (English) Zbl 0762.11002 Bull. Soc. Math. Belg., Sér. B 44, No. 1, 17-28 (1992). Reviewer: Janos Galambos (Philadelphia) MSC: 11K55 11A67 11A63 PDF BibTeX XML Cite \textit{K.-H. Indlekofer} et al., Bull. Soc. Math. Belg., Sér. B 44, No. 1, 17--28 (1992; Zbl 0762.11002)
Jech, Thomas The logarithmic distribution of leading digits and finitely additive measures. (English) Zbl 0763.11035 Discrete Math. 108, No. 1-3, 53-57 (1992). MSC: 11K16 PDF BibTeX XML Cite \textit{T. Jech}, Discrete Math. 108, No. 1--3, 53--57 (1992; Zbl 0763.11035) Full Text: DOI
Niederreiter, Harald Low-discrepancy point sets obtained by digital constructions over finite fields. (English) Zbl 0757.11024 Czech. Math. J. 42, No. 1, 143-166 (1992). Reviewer: P.Schatte (Freiberg) MSC: 11K38 65C05 65D30 PDF BibTeX XML Cite \textit{H. Niederreiter}, Czech. Math. J. 42, No. 1, 143--166 (1992; Zbl 0757.11024) Full Text: EuDML
Grabner, Peter J.; Tichy, Robert F. \(\alpha\)-expansions, linear recurrences, and the sum-of-digits function. (English) Zbl 0725.11005 Manuscr. Math. 70, No. 3, 311-324 (1991). Reviewer: Gerhard Larcher (Salzburg) MSC: 11A63 11N37 PDF BibTeX XML Cite \textit{P. J. Grabner} and \textit{R. F. Tichy}, Manuscr. Math. 70, No. 3, 311--324 (1991; Zbl 0725.11005) Full Text: DOI EuDML
Grabner, Peter J. On digit expansions with respect to second order linear recurring sequences. (English) Zbl 0721.11027 Number-theoretic analysis, Semin. Proc., Vienna/Austria 1988-89, Lect. Notes Math. 1452, 58-64 (1990). Reviewer: B.Volkmann (Stuttgart) MSC: 11K16 11B37 11K55 PDF BibTeX XML
Grabner, Peter J. Ziffernentwicklungen bezüglich linearer Rekursionen. (Digit expansions with respect to linear recurrences). (German) Zbl 0721.11026 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 199, No. 1-3, 1-21 (1990). Reviewer: H.Rindler (Wien) MSC: 11K16 11B37 11K06 11K55 PDF BibTeX XML Cite \textit{P. J. Grabner}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 199, No. 1--3, 1--21 (1990; Zbl 0721.11026)
Pethö, Attila; Tichy, Robert F. On digit expansions with respect to linear recurrences. (English) Zbl 0676.10010 J. Number Theory 33, No. 2, 243-256 (1989). Reviewer: R.F.Tichy MSC: 11A63 11B37 PDF BibTeX XML Cite \textit{A. Pethö} and \textit{R. F. Tichy}, J. Number Theory 33, No. 2, 243--256 (1989; Zbl 0676.10010) Full Text: DOI
Bertrand-Mathis, Anne; Volkmann, Bodo On \((\epsilon,k)\)-normal words in connecting dynamical systems. (English) Zbl 0648.10032 Monatsh. Math. 107, No. 4, 267-279 (1989). Reviewer: B.Volkmann MSC: 11K16 11K36 94A17 PDF BibTeX XML Cite \textit{A. Bertrand-Mathis} and \textit{B. Volkmann}, Monatsh. Math. 107, No. 4, 267--279 (1989; Zbl 0648.10032) Full Text: DOI EuDML
Szüsz, Peter; Volkmann, Bodo On numbers with given digit distributions. (English) Zbl 0648.10031 Arch. Math. 52, No. 3, 237-244 (1989). Reviewer: B.Volkmann MSC: 11K16 11K06 PDF BibTeX XML Cite \textit{P. Szüsz} and \textit{B. Volkmann}, Arch. Math. 52, No. 3, 237--244 (1989; Zbl 0648.10031) Full Text: DOI
Blanchard, F. Expansion of real numbers in non-integral basis. (Développement des nombres réels en base non entière.) (French) Zbl 0655.10046 Rev. Mat. Apl. 9, No. 2, 9-19 (1988). Reviewer: Robert F. Tichy (Graz) MSC: 11K16 37A45 54H20 68Q45 PDF BibTeX XML Cite \textit{F. Blanchard}, Rev. Mat. Apl. 9, No. 2, 9--19 (1988; Zbl 0655.10046)
Kanemitsu, Shigeru; Nagasaka, Kenji; Rauzy, Gérard; Shiue, Jau-Shyong On Benford’s law: the first digit problem. (English) Zbl 0642.10007 Probability theory and mathematical statistics, Proc. 5th Jap.-USSR Symp., Kyoto/Jap. 1986, Lect. Notes Math. 1299, 158-169 (1988). Reviewer: G.Lord MSC: 11A63 11K16 11B37 11A55 PDF BibTeX XML
Hellekalek, Peter Ergodicity of a class of cylinder flows related to irregularities of distribution. (English) Zbl 0619.10051 Compos. Math. 61, 129-136 (1987). Reviewer: R.F.Tichy MSC: 11K38 28D05 11K16 PDF BibTeX XML Cite \textit{P. Hellekalek}, Compos. Math. 61, 129--136 (1987; Zbl 0619.10051) Full Text: Numdam EuDML
Kopecek, N.; Larcher, Gerhard; Tichy, R. F.; Turnwald, G. On the discrepancy of sequences associated with the sum-of-digits function. (English) Zbl 0601.10038 Ann. Inst. Fourier 37, No. 3, 1-17 (1987). MSC: 11K06 11J71 11L40 11K16 PDF BibTeX XML Cite \textit{N. Kopecek} et al., Ann. Inst. Fourier 37, No. 3, 1--17 (1987; Zbl 0601.10038) Full Text: DOI Numdam EuDML
Nagasaka, Kenji Non-normal numbers to different bases and their Hausdorff dimension. (English) Zbl 0602.10043 Tsukuba J. Math. 10, 89-99 (1986). Reviewer: B.Volkmann MSC: 11K16 11K55 PDF BibTeX XML Cite \textit{K. Nagasaka}, Tsukuba J. Math. 10, 89--99 (1986; Zbl 0602.10043) Full Text: DOI
Niederreiter, Harald Low-discrepancy point sets. (English) Zbl 0584.10034 Monatsh. Math. 102, 155-167 (1986). MSC: 11K38 11K06 PDF BibTeX XML Cite \textit{H. Niederreiter}, Monatsh. Math. 102, 155--167 (1986; Zbl 0584.10034) Full Text: DOI EuDML
Fuchs, A.; Nanopoulos, Ph. Mesures invariantes par translation, classes de Dynkin first-digit problem. (Translation invariant measures; first-digit problem Dynkin classes). (French) Zbl 0627.28010 Adv. Math. 55, 24-74 (1985). Reviewer: A.N.Philippon MSC: 28C10 60A10 11K16 11B83 PDF BibTeX XML Cite \textit{A. Fuchs} and \textit{Ph. Nanopoulos}, Adv. Math. 55, 24--74 (1985; Zbl 0627.28010) Full Text: DOI
Bumby, Richard T. Hausdorff dimension of sets arising in number theory. (English) Zbl 0575.28004 Number theory, Semin. New York 1983-84, Lect. Notes Math. 1135, 1-8 (1985). Reviewer: B.Volkmann MSC: 28A12 11J70 28A75 11K16 11K55 PDF BibTeX XML
Volkmann, Bodo On the Cassels-Schmidt theorem. II. (English) Zbl 0563.10040 Bull. Sci. Math., II. Sér. 109, 209-223 (1985). MSC: 11K16 11A63 60F15 PDF BibTeX XML Cite \textit{B. Volkmann}, Bull. Sci. Math., II. Sér. 109, 209--223 (1985; Zbl 0563.10040)
Fuchs, A.; Letta, G. Sur le problème du premier chiffre décimal. (French) Zbl 0557.60011 Boll. Unione Mat. Ital., VI. Ser., B 3, 451-461 (1984). Reviewer: R.Scozzafava MSC: 60B99 11K16 PDF BibTeX XML Cite \textit{A. Fuchs} and \textit{G. Letta}, Boll. Unione Mat. Ital., VI. Ser., B 3, 451--461 (1984; Zbl 0557.60011)
McLaughlin, William I.; Lundy, Sylvia A. Digit functions of integer sequences. (English) Zbl 0549.10041 Fibonacci Q. 22, 105-115 (1984). Reviewer: Bodo Volkmann (Stuttgart) MSC: 11K16 11B39 11A63 PDF BibTeX XML Cite \textit{W. I. McLaughlin} and \textit{S. A. Lundy}, Fibonacci Q. 22, 105--115 (1984; Zbl 0549.10041)
Cohen, Daniel I. A.; Katz, Talbot M. Prime numbers and the first digit phenomenon. (English) Zbl 0549.10040 J. Number Theory 18, 261-268 (1984). Reviewer: Bodo Volkmann (Stuttgart) MSC: 11K16 11A41 11A63 PDF BibTeX XML Cite \textit{D. I. A. Cohen} and \textit{T. M. Katz}, J. Number Theory 18, 261--268 (1984; Zbl 0549.10040) Full Text: DOI
Volkmann, Bodo On the Cassels-Schmidt theorem. I. (English) Zbl 0541.10045 Bull. Sci. Math., II. Sér. 108, 321-336 (1984). MSC: 11K16 11A63 60F15 PDF BibTeX XML Cite \textit{B. Volkmann}, Bull. Sci. Math., II. Sér. 108, 321--336 (1984; Zbl 0541.10045)
Kak, Subhash C. Strings of first digits of powers of a number. (English) Zbl 0547.10005 Indian J. Pure Appl. Math. 14, 896-907 (1983). Reviewer: K.Alladi MSC: 11A63 11K16 05C75 05C20 PDF BibTeX XML Cite \textit{S. C. Kak}, Indian J. Pure Appl. Math. 14, 896--907 (1983; Zbl 0547.10005)
Robertson, James B.; Uppuluri, V. R. R.; Rajagopal, A. K. First digit phenomenon and ergodic theory. (English) Zbl 0529.10008 J. Math. Anal. Appl. 95, 375-378 (1983). MSC: 11A63 11K16 28D05 PDF BibTeX XML Cite \textit{J. B. Robertson} et al., J. Math. Anal. Appl. 95, 375--378 (1983; Zbl 0529.10008) Full Text: DOI
Pavlov, A. I. On the distribution of fractional parts and Benford’s law. (English) Zbl 0495.10031 Math. USSR, Izv. 19, 65-77 (1982). MSC: 11K06 11J71 11K16 11A63 PDF BibTeX XML Cite \textit{A. I. Pavlov}, Math. USSR, Izv. 19, 65--77 (1982; Zbl 0495.10031) Full Text: DOI
Pavlov, A. I. On the distribution mod one and Benford’s law. (Russian) Zbl 0481.10049 Izv. Akad. Nauk SSSR, Ser. Mat. 45, 760-774 (1981). MSC: 11K16 11K06 PDF BibTeX XML Cite \textit{A. I. Pavlov}, Izv. Akad. Nauk SSSR, Ser. Mat. 45, 760--774 (1981; Zbl 0481.10049)
Pollington, A. D. The Hausdorff dimension of a set of normal numbers. (English) Zbl 0479.10031 Pac. J. Math. 95, 193-204 (1981). MSC: 11K16 11K55 PDF BibTeX XML Cite \textit{A. D. Pollington}, Pac. J. Math. 95, 193--204 (1981; Zbl 0479.10031) Full Text: DOI
Peters, James V. An equivalent form of Benford’s law. (English) Zbl 0447.10049 Fibonacci Q. 19, 74-76 (1981). MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{J. V. Peters}, Fibonacci Q. 19, 74--76 (1981; Zbl 0447.10049)
Choquet, Gustave Algorithmes adaptes aux suites \((k\theta^n)\) et aux chaînes associees. (French) Zbl 0449.10042 C. R. Acad. Sci., Paris, Sér. A 290, 719-724 (1980). MSC: 11K16 11K06 11A63 PDF BibTeX XML Cite \textit{G. Choquet}, C. R. Acad. Sci., Paris, Sér. A 290, 719--724 (1980; Zbl 0449.10042)
Volkmann, Bodo On modifying constructed normal numbers. (English) Zbl 0429.10034 Ann. Fac. Sci. Toulouse, V. Ser., Math. 1, 269-285 (1979). MSC: 11K16 11K06 PDF BibTeX XML Cite \textit{B. Volkmann}, Ann. Fac. Sci. Toulouse, Math. (5) 1, 269--285 (1979; Zbl 0429.10034) Full Text: DOI Numdam EuDML
Kühnle, Herbert Schnell konvergierende Ziffernverteilungen bei speziellen zahlentheoretischen Transformationen. (German) Zbl 0431.10034 Naturwissenschaftliche Fakultät der Universität Stuttgart (Technische Hochschule). 72 S. (1978). MSC: 11K16 PDF BibTeX XML
Odlyzko, A. M. Non-negative digit sets in positional number systems. (English) Zbl 0391.10012 Proc. Lond. Math. Soc., III. Ser. 37, 213-229 (1978). MSC: 11A63 11K16 PDF BibTeX XML Cite \textit{A. M. Odlyzko}, Proc. Lond. Math. Soc. (3) 37, 213--229 (1978; Zbl 0391.10012) Full Text: DOI
Spataru, Aurel Some f-expansions producing stochastically independent digits. (English) Zbl 0408.60002 Sankhyā, Ser. A 39, 160-169 (1977). MSC: 60B05 PDF BibTeX XML Cite \textit{A. Spataru}, Sankhyā, Ser. A 39, 160--169 (1977; Zbl 0408.60002)
Volkmann, Bodo Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. I. (German) Zbl 0051.04104 Math. Z. 58, 284-287 (1953). Reviewer: H.-E. Richert (Ulm) MSC: 11K55 PDF BibTeX XML Cite \textit{B. Volkmann}, Math. Z. 58, 284--287 (1953; Zbl 0051.04104) Full Text: DOI EuDML