Found 120 Documents (Results 1–100)
On the number of residues of certain second-order linear recurrences. arXiv:2401.07661
Preprint, arXiv:2401.07661 [math.NT] (2024).
A Non-Trivial Minoration for the Set of Salem Numbers. arXiv:2401.05843
Preprint, arXiv:2401.05843 [math.NT] (2024).
Vector-valued Kahane-Salem-Zygmund inequalities with asymptotically bounded constants. (English) Zbl 07701495
MSC:
26C05
Salem numbers with minimal trace. (English) Zbl 1542.11097
Reviewer: Artūras Dubickas (Vilnius)
The number of nonunimodular roots of a reciprocal polynomial. (English. French summary) Zbl 1523.11193
Reviewer: Pavlo Yatsyna (Espoo)
On the attribute of uniform convergence of Fourier series of the Vilenkin system in the case of unbounded \(p_k\). (English. Russian original) Zbl 1528.42037
Mosc. Univ. Math. Bull. 77, No. 5, 247-249 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 5, 48-51 (2022).
On the zeros of the derivatives of certain polynomials. (English) Zbl 1514.11072
Reviewer: Artūras Dubickas (Vilnius)
On uniform convergence of Fourier series with respect to Vilenkin systems with unbounded \(p_k \). (English. Russian original) Zbl 1506.43003
Mosc. Univ. Math. Bull. 77, No. 1, 41-45 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 1, 61-64 (2022).
Zero-free neighborhoods around the unit circle for Kac polynomials. (English) Zbl 1513.60059
Reviewer: Yuliya S. Mishura (Kyïv)
On algebraic integers which are 2-Salem elements in positive characteristic. (English) Zbl 1504.11113
Reviewer: Lhoussain El Fadil (Fès)
On Salem half-norms. (English) Zbl 1489.11179
Reviewer: Riccardo Pengo (Lyon)
Exponential Diophantine approximation and symbolic dynamics. arXiv:2204.10510
Preprint, arXiv:2204.10510 [math.NT] (2022).
Alphabets, rewriting trails and periodic representations in algebraic bases. (English) Zbl 1483.11015
Reviewer: Jean-Paul Allouche (Paris)
Comments on Salem polynomials. (English) Zbl 1480.11135
Reviewer: François Brunault (Lyon)
Asymptotic estimates for unimodular multilinear forms with small norms on sequence spaces. (English) Zbl 1470.46069
Reviewer: Christopher Boyd (Dublin)
The level of distribution of the Thue-Morse sequence. (English) Zbl 1468.11206
Reviewer: Jonas Šiaulys (Vilnius)
Linear relations with conjugates of a Salem number. (English. French summary) Zbl 1452.11129
Reviewer: Toufik Zaïmi (Riyadh)
On the behavior of Mahler’s measure under iteration. (English) Zbl 1450.11110
Reviewer: Toufik Zaïmi (Riyadh)
Salem numbers as Mahler measures of Gaussian Pisot numbers. (English) Zbl 1450.11111
Reviewer: Balasubramanian Sury (Bangalore)
On the stable dynamical spectrum of complex surfaces. (English) Zbl 1442.14117
Reviewer: Giacomo Mezzedimi (Hannover)
A necessary and sufficient condition for an algebraic integer to be a Salem number. (English. French summary) Zbl 1453.11135
Reviewer: Toufik Zaïmi (Riyadh)
Randomness and non-randomness properties of Piatetski-Shapiro sequences modulo \(m\). (English) Zbl 1469.11027
A proof of the Conjecture of Lehmer. arXiv:1911.10590
Preprint, arXiv:1911.10590 [math.NT] (2019).
Polynomials in base \(x\) and the prime-irreducible affinity. (English) Zbl 1460.11010
Reviewer: Mehdi Hassani (Zanjan)
On certain multiples of Littlewood and Newman polynomials. (English) Zbl 1444.11044
Reviewer: Władysław Narkiewicz (Wrocław)
On Littlewood and Newman polynomial multiples of Borwein polynomials. (English) Zbl 1390.11122
Reviewer: Artūras Dubickas (Vilnius)
Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II. (English) Zbl 1400.11119
On the number of roots of self-inversive polynomials on the complex unit circle. (English) Zbl 1422.30013
On the conjecture of Lehmer, limit Mahler measure of trinomials and asymptotic expansions. (English) Zbl 1455.11143
Salem numbers as Mahler measures of nonreciprocal units. (English) Zbl 1356.11075
Reviewer: Władysław Narkiewicz (Wrocław)
A note on measure-geometric Laplacians. (English) Zbl 1358.35076
Reviewer: Michael Perelmuter (Kyïv)
Dynamical degrees of birational transformations of projective surfaces. (English) Zbl 1394.14011
Reviewer: Enrica Floris (Futuroscope Chasseneuil)
On random Hermite series. (English) Zbl 1357.60047
Reviewer: Ferenc Weisz (Budapest)
Salem numbers of trace -2, and a conjecture of Estes and Guralnick. (English) Zbl 1330.11069
Reviewer: Władysław Narkiewicz (Wrocław)
Seventy years of Salem numbers. (English) Zbl 1321.11111
Reviewer: Władysław Narkiewicz (Wrocław)
On the distribution of polynomials with bounded roots. II: Polynomials with integer coefficients. (English) Zbl 1384.11081
A proof of the Erdős-Joó-Komornik conjecture in the case of formal power series. (Une preuve de la conjecture d’Erdős, Joó et Komornik dans le cas des séries formelles.) (French. English summary) Zbl 1303.11117
Distribution of the sum-of-digits function of random integers: a survey. (English) Zbl 1327.60029
Reviewer: Manfred G. Madritsch (Vandœuvre)
Recovering zeros of polynomials modulo a prime. (English) Zbl 1303.11129
Reviewer: Florian Pausinger (Klosterneuburg)
A combinatorial approach to binary positional number systems. (English) Zbl 1324.11051
Reviewer: Florian Luca (Morelia)
Negative Pisot and Salem numbers as roots of Newman polynomials. (English) Zbl 1294.11186
Reviewer: David W. Boyd (Vancouver)
Maximum modulus of random polynomials. (English) Zbl 1248.46033
Reviewer: Daniel Pellegrino (João Pessoa)
The trace problem for totally positive algebraic integers. (English) Zbl 1290.11143
Reviewer: Artūras Dubickas (Vilnius)
Beta expansions for regular Pisot numbers. (English) Zbl 1253.11078
Reviewer: Artūras Dubickas (Vilnius)
WITHDRAWN: Concatenated Fibonacci and Lucas numbers do not form normal numbers. arXiv:1109.4113
Preprint, arXiv:1109.4113 [math.NT] (2011); retraction notice ibid.
On the complexity of the binary expansions of algebraic irrational numbers (survey). (English) Zbl 1198.11058
Komatsu, Takao (ed.), Diophantine analysis and related fields 2010. DARF–2010. Proceedings of the conference, Musashino, Tokyo, Japan, March 4–5, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0815-9). AIP Conference Proceedings 1264, 16-26 (2010).
Reviewer: Peter Bundschuh (Köln)
Salem numbers defined by Coxeter transformation. (English) Zbl 1281.11093
Reviewer: Chris Smyth (Edinburgh)
High precision computation of a constant in the theory of trigonometric series. (English) Zbl 1202.42003
\(M_{0}\) measures for the Walsh system. (English) Zbl 1182.42027
Reviewer: István Mező (Debrecen)
Cyclotomic factors of Coxeter polynomials. (English) Zbl 1183.11065
Reviewer: Artūras Dubickas (Vilnius)
On the dichotomy of Perron numbers and beta-conjugates. (English) Zbl 1174.11087
Reviewer: David W. Boyd (Vancouver)
Constructions of Pisot and Salem numbers with flat palindromes. (English) Zbl 1178.11069
Reviewer: David W. Boyd (Vancouver)
Periodicity of certain piecewise affine planar maps. (English) Zbl 1209.37018
Reviewer: Franco Vivaldi (London)
Uniform distribution. (English) Zbl 1142.11054
Granville, Andrew (ed.) et al., Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11–22, 2005. Dordrecht: Springer (ISBN 978-1-4020-5403-7/pbk; 978-1-4020-5402-0/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 237, 1-13 (2007).
Reviewer: Yukio Ohkubo (Kagoshima)
Arithmetic and topological properties of a class of fractal sets. (Propriétés arithmétiques et topologiques d’une classe d’ensembles fractales.) (French) Zbl 1104.28003
Reviewer: Emilia Petrisor (Timişoara)
Littlewood Pisot numbers. (English) Zbl 1095.11049
Reviewer: Artūras Dubickas (Vilnius)
Conjugate algebraic numbers close to a symmetric set. (English. Russian original) Zbl 1092.11040
St. Petersbg. Math. J. 16, No. 6, 1013-1016 (2005); translation from Algebra Anal. 16, No. 6, 123-127 (2004).
Reviewer: Władysław Narkiewicz (Wrocław)
On the Benford empirical law. (English) Zbl 1064.60039
Reviewer: A. D. Borisenko (Kyïv)
Integer powers and Benford’s law. (English) Zbl 1068.11047
Reviewer: L. Heinrich (Augsburg)
A generalized Benford law and its application. (English) Zbl 1045.62010
Reviewer: Janos Galambos (Philadelphia)
A new construction of Salem polynomials. (English) Zbl 1043.11075
Reviewer: Artūras Dubickas (Vilnius)
Automorphisms of even unimodular lattices and unramified Salem numbers. (English) Zbl 1022.11016
Reviewer: Helmut Koch (Berlin)
MSC:
11E12
Computational excursions in analysis and number theory. (English) Zbl 1020.12001
CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. 10. New York, NY: Springer. x, 220 p. EUR 69.95/net; sFr 116.00; £49.00; $ 69.95 (2002).
Reviewer: M.Pohst (Berlin)
Salem numbers and growth series of some hyperbolic graphs. (English) Zbl 1032.20028
Reviewer: Brigitte Servatius (Worcester)
On the metric Mahler measure. (English) Zbl 1030.11056
Reviewer: Władysław Narkiewicz (Wrocław)
Frontière du fractal de Rauzy et système de numération complexe. (Boundary of the Rauzy fractal and complex numeration system). (French) Zbl 0968.28005
Reviewer: Yimin Xiao (East Lansing)
Inverse Galois problem and reciprocal numbers. (Problème inverse de Galois et nombres réciproques.) (French) Zbl 0936.11065
Reviewer: N.Vila (Barcelona)
Small Salem numbers. (English) Zbl 0935.11038
Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 165-168 (1999).
Reviewer: David W. Boyd (Vancouver)
Mahler’s measure and special values of \(L\)-functions. (English) Zbl 0932.11069
Reviewer: W.Narkiewicz (Wrocław)
Polynomials with small Mahler measure. (English) Zbl 0918.11056
Reviewer: David W. Boyd (Vancouver)
On the nonderivability of periodic functions associated with certain summation formulas. (Sur la non-dérivabilité de fonctions périodiques associées à certaines formules sommatoires.) (French) Zbl 0869.11019
Graham, Ronald L. (ed.) et al., The mathematics of Paul Erdős. Vol. I. Berlin: Springer. Algorithms Comb. 13, 117-128 (1997).
Reviewer: R.F.Tichy (Graz)
Normality of numbers generated by the values of polynomials at primes. (English) Zbl 0881.11062
Reviewer: Y.Nakai (Kofu)
Some applications of probability to additive number theory and harmonic analysis. (English) Zbl 0861.11015
Chudnovsky, D. V. (ed.) et al., Number theory: New York seminar, 1991-1995. New York, NY: Springer. 229-251 (1996).
Reviewer: H.Rindler (Wien)
On beta expansions for Pisot numbers. (English) Zbl 0855.11039
Reviewer: W.Narkiewicz (Wrocław)
A characterization of certain classes of algebraic integers generalizing Salem numbers. (Une caractérisation de certaines classes d’entiers algébriques généralisant les nombres de Salem.) (French) Zbl 0837.11057
Reviewer: W.Narkiewicz (Wrocław)
A characterization of two related classes of Salem numbers. (English) Zbl 0824.11069
Reviewer: W.Narkiewicz (Wrocław)
Polynomials of small measure. (Polynôme de petite mesure.) (French) Zbl 0779.11046
Reviewer: W.Narkiewicz (Wrocław)
Polynômes à coefficients positifs multiples d’un polynôme donné. (Polynomials with positive coefficients being the product of a given polynomial). (French) Zbl 0723.12001
Fifty years of polynomials, Proc. Conf. in Honour of Alain Durand, Paris/Fr. 1988, Lect. Notes Math. 1415, 97-115 (1990).
Reviewer: F.Gramain (Saint-Etienne)
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