Found 164 Documents (Results 1–100)
Additive properties of the evil and odious numbers and similar sequences. (English) Zbl 07836766
Reviewer: Michel Rigo (Liège)
Characterizations of families of morphisms and words via binomial complexities. (English) Zbl 07824157
Non-expansive matrix number systems with bases similar to certain Jordan blocks. (English) Zbl 1535.15013
Reviewer: John D. Dixon (Ottawa)
A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra. (English) Zbl 1531.17007
Reviewer: Enrico Jabara (Venezia)
Rarefied Thue-Morse sums via automata theory and logic. (English) Zbl 1531.11031
Reviewer: Michel Rigo (Liège)
Proof of a conjecture of Krawchuk and Rampersad on the cyclic complexity of the Thue-Morse sequence. (English) Zbl 1543.11031
Reviewer: Anna Frid (Marseille)
Proving results about OEIS sequences with Walnut. (English) Zbl 07810737
Dubois, Catherine (ed.) et al., Intelligent computer mathematics. 16th international conference, CICM 2023, Cambridge, UK, September 5–8, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14101, 270-282 (2023).
MSC:
68Vxx
Möbius orthogonality of the Thue-Morse sequence along Piatetski-Shapiro numbers. (English) Zbl 07791442
Reviewer: Michel Rigo (Liège)
The analog of overlap-freeness for the period-doubling sequence. (English) Zbl 1539.68242
Reviewer: Zoltán Kása (Cluj-Napoca)
MSC:
68R15
Non-injectivity of infinite interval exchange transformations and generalized Thue-Morse sequences. (English) Zbl 1525.37015
Self-similarity and spectral theory: on the spectrum of substitutions. (English) Zbl 1522.37027
St. Petersbg. Math. J. 34, No. 3, 313-346 (2023) and Algebra Anal. 34, No. 3, 5-50 (2023).
Automatic sequences in negative bases and proofs of some conjectures of Shevelev. (English) Zbl 1527.11022
Reviewer: Jean-Paul Allouche (Paris)
Bifurcations of digit frequencies in unique expansions. (English) Zbl 1523.11010
Reviewer: Wolfgang Steiner (Paris)
On digital sequences associated with Pascal’s triangle. (English) Zbl 1511.05005
Reviewer: Uğur Duran (Iskenderun)
Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals. (English) Zbl 1520.11010
Reviewer: Simon Baker (Loughborough)
Invariants for metabelian groups of prime power exponent, colorings, and stairs. (English) Zbl 1517.20060
Reviewer: M. Carmen Pedraza-Aguilera (València)
Locally countable pseudovarieties. (English) Zbl 1515.20289
Reviewer: Ulrich Knauer (Oldenburg)
Gaps in the Thue-Morse word. (English) Zbl 1516.68077
Reviewer: Francine Blanchet-Sadri (Greensboro)
Combinatorial etudes and number theory. (English) Zbl 1522.11013
Fidanova, Stefka (ed.), Recent advances in computational optimization. Results of the workshop on computational optimization, WCO 2021. Cham: Springer. Stud. Comput. Intell. 1044, 233-256 (2022).
MSC:
11B75
Artwork based on automatic sequences. (English) Zbl 1535.00054
MSC:
00A66
Linear combinations of Dirichlet series associated with the Thue-Morse sequence. (English) Zbl 1511.11078
Reviewer: Sami Omar (Sukhair)
Intertwining of complementary Thue-Morse factors. (English) Zbl 1512.68260
Reviewer: Anna Frid (Marseille)
The easily bored sequence. (English) Zbl 1516.11078
Reviewer: Chryssoula Ganatsiou (Larissa)
A matrix related to Stern polynomials and the Prouhet-Thue-Morse sequence. (English) Zbl 1495.11048
Reviewer: Maciej Ulas (Kraków)
On the correlation of the Thue-Morse sequence. (English) Zbl 1505.11019
Reviewer: Michel Rigo (Liège)
The critical exponent functions. (English) Zbl 1505.37027
Reviewer: Dan Rust (Milton Keynes)
The ghost measures of affine regular sequences. (English) Zbl 1501.11043
Reviewer: Michel Rigo (Liège)
Frobenius numbers and automatic sequences. (English) Zbl 1490.11036
Reviewer: Michel Rigo (Liège)
Two arithmetic applications of perturbations of composition operators. (English) Zbl 1496.11038
Reviewer: Michel Rigo (Liège)
On prefix palindromic length of automatic words. (English) Zbl 1522.68439
Reviewer: Francine Blanchet-Sadri (Greensboro)
On the smallest base in which a number has a unique expansion. (English) Zbl 1491.11010
Reviewer: Lukas Spiegelhofer (Wien)
On some conjectures of P. Barry. (English) Zbl 1475.11037
Reviewer: Thomas B. Ward (Leeds)
On \(p\)-adic valuations of certain \(m\) colored \(p\)-ary partition functions. (English) Zbl 1512.11073
Anti-power \(j\)-fixes of the Thue-Morse word. (English) Zbl 1471.68213
Reviewer: Anna Frid (Marseille)
MSC:
68R15
Pointwise densities of homogeneous Cantor measure and critical values. (English) Zbl 1466.28006
Reviewer: George Stoica (Saint John)
The zeta-regularized product of odious numbers. (English) Zbl 1469.11348
Reviewer: Roma Kačinskaitė (Kaunas)
The level of distribution of the Thue-Morse sequence. (English) Zbl 1468.11206
Reviewer: Jonas Šiaulys (Vilnius)
Univoque bases of real numbers: local dimension, devil’s staircase and isolated points. (English) Zbl 1459.11022
From combinatorial games to shape-symmetric morphisms. (English) Zbl 1457.91116
Akiyama, Shigeki (ed.) et al., Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Cham: Springer. Lect. Notes Math. 2273, 227-291 (2020).
On the automaticity of sequences defined by the Thue-Morse and period-doubling Stieltjes continued fractions. (English) Zbl 1460.11034
Reviewer: Jean-Paul Allouche (Paris)
Formal inverses of the generalized Thue-Morse sequences and variations of the Rudin-Shapiro sequence. (English) Zbl 1454.11058
Reviewer: Maciej Ulas (Kraków)
MSC:
11B85
On the longest common subsequence of Thue-Morse words. (English) Zbl 1477.68248
Reviewer: Gabriele Fici (Palermo)
MSC:
68R15
Computing the \(k\)-binomial complexity of the Thue-Morse word. (English) Zbl 1455.68153
Reviewer: Anna Frid (Marseille)
MSC:
68R15
Critical base for the unique codings of fat Sierpinski gasket. (English) Zbl 1448.37013
Reviewer: Hasan Akin (Gaziantep)
Abelian periods of factors of Sturmian words. (English) Zbl 1458.68152
Reviewer: Jean-Paul Allouche (Paris)
Greedy approximations by signed harmonic sums and the Thue-Morse sequence. (English) Zbl 1436.11080
Reviewer: István Gaál (Debrecen)
Morphic words and equidistributed sequences. (English) Zbl 1450.68002
Reviewer: Wolfgang Steiner (Paris)
Mixing properties in coded systems. (English) Zbl 1446.37013
Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 183-200 (2019).
Prefix palindromic length of the Thue-Morse word. (English) Zbl 1437.68146
Reviewer: Gabriele Fici (Palermo)
Finite generating functions for the sum-of-digits sequence. (English) Zbl 1464.11016
Reviewer: Jean-Paul Allouche (Paris)
Circularly squarefree words and unbordered conjugates: a new approach. (English) Zbl 1436.68273
Mercaş, Robert (ed.) et al., Combinatorics on words. 12th international conference, WORDS 2019, Loughborough, UK, September 9–13, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11682, 133-144 (2019).
MSC:
68R15
On the race between primes with an odd versus an even sum of the last \(k\) binary digits. (English) Zbl 1469.11371
Tower-type bounds for unavoidable patterns in words. (English) Zbl 1431.68102
Reviewer: Michel Rigo (Liège)
MSC:
68R15
Subword complexity and power avoidance. (English) Zbl 1447.68014
Reviewer: Wolfgang Steiner (Paris)
MSC:
68R15
Numbers with simply normal \(\beta\)-expansions. (English) Zbl 1435.11017
MSC:
11A63
Circular critical exponents for Thue-Morse factors. (English) Zbl 1445.68185
Reviewer: Anna Frid (Marseille)
More infinite products: Thue-Morse and the gamma function. (English) Zbl 1466.11002
Reviewer: Michel Rigo (Liège)
2-adic valuations of coefficients of certain integer powers of formal power series. (English) Zbl 1451.11111
Reviewer: Manjil Pratim Saikia (Cardiff)
Quantifying local randomness in human DNA and RNA sequences using Erdös motifs. (English) Zbl 1406.92463
MSC:
92D20
Entropy, topological transitivity, and dimensional properties of unique \(q\)-expansions. (English) Zbl 1435.11016
Non-intersectivity of paperfolding dragon curves and of curves generated by automatic sequences. (English) Zbl 1448.11063
Reviewer: Michel Rigo (Liège)
General framework. (English) Zbl 1407.11044
Berthé, Valérie (ed.) et al., Sequences, groups, and number theory. Cham: Birkhäuser. Trends Math., 1-36 (2018).
The formal inverse of the period-doubling sequence. (English) Zbl 1412.68176
Reviewer: Michel Rigo (Liège)
Moments of a Thue-Morse generating function. (English) Zbl 1448.11059
Reviewer: Amin Witno (Amman)
MSC:
11B83
Arithmetic properties of coefficients of power series expansion of \(\prod _{n=0}^{\infty }\left( 1-x^{2^{n}}\right) ^{t}\) (with an appendix by Andrzej Schinzel). (English) Zbl 1388.11072
Reviewer: Mircea Merca (Cornu)
On evil Kronecker sequences and lacunary trigonometric products. (Suites méchantes de Kronecker et produits trigonométriques.) (English. French summary) Zbl 1437.11042
Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II. (English) Zbl 1400.11119
Taking turns. (English) Zbl 1409.91033
Computer assisted proof for Apwenian sequences. (English) Zbl 1364.11070
Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 231-238 (2016).
Beyond odious and evil. (English) Zbl 1415.11019
Some identities involving the Prouhet-Thue-Morse sequence and its relatives. (English) Zbl 1374.11018
Reviewer: Štefan Porubský (Praha)
Moser-Newman phenomenon for square-free numbers. (Phénomène de Moser-Newman pour les nombres sans facteur carré.) (French. English summary) Zbl 1352.11015
Reviewer: Wolfgang Steiner (Sydney)
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