Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Approximation of p-adic numbers by algebraic numbers of bounded degree [PDF]
, 1978 The approximation of p-adic numbers by algebraic numbers of bounded degree is studied. Results similar to those obtained by Wirsing and by Davenport and Schmidt in the real case are proved in the p-adic case.
Morrison, John F.
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Karpatsʹkì Matematičnì Publìkacìï, 2019 Algebraic and recursion equations are widely used in different areas of mathematics, so various objects and methods of research that are associated with them are very important.
I.I. Lishchynsky
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On the Number of Good Rational Approximations to Algebraic Numbers [PDF]
Proceedings of the American Mathematical Society, 1989 We study rational approximations x / y x/
Mueller, Julia, Schmidt, W. M.
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Approximation to certain transcendental decimal fractions by algebraic numbers [PDF]
, 1991 In this paper, we treat certain decimal fractions defined by Mahler and study approximations to these numbers by algebraic numbers of bounded degree. For this purpose, we give an estimate for the values of Mahler's function wd and of Koksma's function wd*
Amou, Masaaki
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On approximation of real numbers by algebraic numbers of bounded degree [PDF]
, 2007 Dirichlet proved that for any real irrational number ξ there exist infinitely many rational numbers p/q such that |ξ−p/q|2, is still unknown.
Kiryl I. Tsishchanka +1 more
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A note on elliptic functions and approximation by algebraic numbers of bounded degree. [PDF]
, 1983 Let p be a Weierstrass elliptic function with algebraic invariants g2 and g3. By a counterexample it is shown that lower bounds for the simultaneous approximation of p(a), b and p(ab) by algebraic numbers of bounded degree cannot be given without and ...
Bijlsma, Alex +3 more
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The successive minima in the geometry of numbers and the distinction between algebraic and transcendental numbers [PDF]
, 1986 This paper discusses an application of Minkowski's theory of the successive minima in the geometry of numbers to the problem of the approximation of an algebraic or transcendental number a by algebraic numbers. I consider for simplicity only real numbers
Kurt Mahler, Mahler, Kurt
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Approximation by algebraic numbers - Cambridge Tracts in Mathematics 160 [PDF]
, 2004 Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications.
Bugeaud, Yann
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Geodesic excursions into cusps in finite-volume hyperbolic manifolds [PDF]
, 1993 18 pages, no figures.-- MSC1991 codes: Primary: 53C22; Secondary: 30F40, 58F17.MR#: MR1214056 (94d:53067)Zbl#: Zbl 0793.53052The main goal of the paper is to prove that, for a given non-compact hyperbolic $n$-manifold $M$ of finite volume, $p\in M$, and ...
Maria V. Melian +3 more
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