Random walks, spectral gaps, and Khintchine’s theorem on fractals. (English) Zbl 1526.11040
Reviewer: Peter Massopust (München)
Found 26 Documents (Results 1–26)
A Jarník-type theorem for a problem of approximation by cubic polynomials. (English) Zbl 1448.11144
Reviewer: Symon Serbenyuk (Kyïv)
Fractional parts of powers of large rational numbers. (English) Zbl 1481.11074
Reviewer: Christoph Aistleitner (Graz)
Mahler measure on Galois extensions. (English) Zbl 1401.11139
Reviewer: Artūras Dubickas (Vilnius)
Integral powers of numbers in small intervals modulo 1: the cardinality gap phenomenon. (English) Zbl 1420.11107
Reviewer: Artūras Dubickas (Vilnius)
Metric Diophantine approximation on the middle-third Cantor set. (English) Zbl 1353.11083
Reviewer: Simon Kristensen (Aarhus)
Exceptional parameters of linear mod one transformations and fractional parts \(\{ \xi (p/q)^n \}\). (Paramètres exceptionnels de transformations linéaires mod un et parties fractionnaires \(\{ \xi (p/q)^n \}\).) (English. French summary) Zbl 1323.11060
Reviewer: Maria Infusino (Konstanz)
Powers of rationals modulo 1 and rational base number systems. (English) Zbl 1214.11089
Reviewer: Manfred G. Madritsch (Graz)
Mahler’s measure of a polynomial in terms of the number of its monomials. (English) Zbl 1158.11043
Reviewer: Artūras Dubickas (Vilnius)
Auxiliary polynomials for some problems regarding Mahler’s measure. (English) Zbl 1074.11018
Reviewer: Władysław Narkiewicz (Wrocław)
On a theorem of V. Bernik in the metric theory of Diophantine approximation. (English) Zbl 1201.11078
Reviewer: Olaf Ninnemann (Berlin)
Heights, transcendence, and linear independence on commutative group varieties. (English) Zbl 1049.11081
Amoroso, Francesco (ed.) et al., Diophantine approximation. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, June 28–July 6, 2000. Berlin: Springer (ISBN 3-540-40392-2/pbk). Lect. Notes Math. 1819, 1-51 (2003).
Reviewer: Damien Roy (Ottawa)
The work of Andrzej Schinzel in number theory. (English) Zbl 0935.11001
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. 341-357 (1999).
Reviewer: Maurice Mignotte (Strasbourg)
Diophantine approximations on manifolds in \(\mathbb C^2\). (Russian. English summary) Zbl 0744.11038
Reviewer: Veikko Ennola (Turku)
MSC:
11J83
Tijdeman’s iterative algorithm. (English) Zbl 0736.11009
Reviewer: G.Larcher (Salzburg)
Diophantine approximations on manifolds of the dimension \(n\) in \(\mathbb R^{2n}\). (Russian. English summary) Zbl 0736.11039
Reviewer: Fritz Schweiger (Salzburg)
Arithmetic properties of automata: regular sequences. (English) Zbl 0656.10033
Reviewer: J.-P.Allouche
A property of integer polynomials realizing Minkowski’s theorem on linear forms. (Russian. English summary) Zbl 0596.10043
Reviewer: V.Ennola
MSC:
11K60
On a measure of mutual transcendence for almost all pairs of p-adic numbers. (English) Zbl 0512.10027
On the measure of mutual transcendence of almost all pairs of \(p\)-adic numbers. (Russian. English summary) Zbl 0492.10031
Reviewer: Daniel Bertrand (Paris)
Induced extremal surfaces. (English) Zbl 0397.10051
MSC:
11K60
Mahler’s problem in metric number theory. (English) Zbl 0181.05502
Translations of Mathematical Monographs. 25. Providence, R.I.: American Mathematical Society (AMS). vii, 192 pp. (1969).
Mahler’s problem in metric number theory. (Проблема Малера в метрической теории чисел.) (Russian) Zbl 0168.29504
Minsk: Verlag ‘Nauka i Tehnika’. 182 p. (1967).
Reviewer: Tibor Šalát (Bratislava)
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