Results 1 to 10 of about 5,627 (94)
Algebraic Independence and Mahler's method [PDF]
, 2011 We give some new results on algebraic independence within Mahler's method, including algebraic independence of values at transcendental points. We also give some new measures of algebraic independence for infinite series of numbers.
Becker +7 more
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Hankel determinants, Pad\'e approximations, and irrationality exponents
, 2015 The irrationality exponent of an irrational number $\xi$, which measures the approximation rate of $\xi$ by rationals, is in general extremely difficult to compute explicitly, unless we know the continued fraction expansion of $\xi$.
Bugeaud, Yann +3 more
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Diophantine approximation of Mahler numbers
, 2015 Suppose that $F(x)\in\mathbb{Z}[[x]]$ is a Mahler function and that $1/b$ is in the radius of convergence of $F(x)$. In this paper, we consider the approximation of $F(1/b)$ by algebraic numbers.
Bell, Jason +2 more
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Exponents of Diophantine Approximation and Sturmian Continued Fractions [PDF]
, 2004 Let x be a real number and let n be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents w_n(x) and w_n^*(x) defined by Mahler and Koksma.
Bugeaud, Yann, Laurent, Michel
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Report on some recent advances in Diophantine approximation [PDF]
, 2009 A basic question of Diophantine approximation, which is the first issue we discuss, is to investigate the rational approximations to a single real number. Next, we consider the algebraic or polynomial approximations to a single complex number, as well as
Waldschmidt, Michel
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Thue's Fundamentaltheorem, I: The General Case
, 2010 In this paper, Thue's Fundamentaltheorem is analysed. We show that it includes, and often strengthens, known effective irrationality measures obtained via the so-called hypergeometric method as well as showing that it can be applied to previously ...
Voutier, Paul
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Zero Order Estimates for Analytic Functions [PDF]
, 2011 The primary goal of this paper is to provide a general multiplicity estimate. Our main theorem allows to reduce a proof of multiplicity lemma to the study of ideals stable under some appropriate transformation of a polynomial ring.
Amou M. +20 more
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On Mahler's transcendence measure for $e$
, 2018 We present a completely explicit transcendence measure for $e$. This is a continuation and an improvement to the works of Borel, Mahler and Hata on the topic.
Ernvall-Hytönen, Anne-Maria +2 more
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, 1998 Creativity is said to be highly desired in post-modern and post-industrial organizations Creativity and anarchy on the one hand, and managerialism, on the other, can be seen as different forms of knowledge, two opposed ideals.
Alexandersson Ola +33 more
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Social rights constitutionalism: an antagonistic endorsement [PDF]
, 2017 The article discusses how we might understand solidarity as the organizing concept behind the institutionalization of social rights. I argue that writing solidarity into social rights constitutionalism carries productive tension into constitutional ...
Christodoulidis, Emilios
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