Found 79 Documents (Results 1–79)
On a Diophantine inequality involving a class of \(G\)-functions in \(p\)-adic form. (English) Zbl 0497.10028
Approximation of linear forms of a class of E-functions. (English) Zbl 0491.10022
Proc. Conf. Number Theory, Mysore 1979, Matsci. Rep. 101, 93-97 (1980).
Nombres algébriques et théorie des automates. (French) Zbl 0472.10037
Reviewer: Alf van der Poorten (Macquarie)
Algebraic numbers and automata theory. (English) Zbl 0472.10036
Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 79-89 (1980).
Reviewer: Alf van der Poorten (Macquarie)
Suites algébriques, automates et substitutions. (French) Zbl 0472.10035
Reviewer: Alf van der Poorten (Macquarie)
Algebraic irreducibility of a collection of linear differential equations. (English. Russian original) Zbl 0467.34008
Sov. Math., Dokl. 22, 459-461 (1980); translation from Dokl. Akad. Nauk SSSR 254, 806-808 (1980).
On the orders of zero of certain functions. (English) Zbl 0467.10024
Mém. Soc. Math. Fr., Nouv. Sér. 2, 5-20 (1980).
On a classification of irrational numbers with respect to approximation and its application to the metric theory of continued fractions. (Russian) Zbl 0463.10021
Diophantine equations (Approximation methods). (English) Zbl 0463.10010
Number theory and computers, Studyweek, Math. Cent. Amsterdam 1980, 261-277 (1980).
Reviewer: Robert Tijdeman (Leiden)
Polynomial values and almost powers. (English) Zbl 0462.10012
Math. Cent., Amst., Afd. Zuivere Wiskd. ZW 143/80, 10 p. (1980).
Sur les decimales des nombres algébriques réels. (French) Zbl 0458.10007
Semin. Theor. Nombres 1979-1980, Expose No. 28, 7 p. (1980).
A bound for the measure of the mutual transcendence of values of E- functions connected by arbitrary algebraic equations over \(\mathbb C(z)\). (English) Zbl 0457.10016
On the arithmetic properties of values of E-functions connected by algebraic equations in the rational function field. (English. Russian original) Zbl 0457.10015
Sov. Math., Dokl. 21, 540-544 (1980); translation from Dokl. Akad. Nauk SSSR 251, 808-812 (1980).
Reviewer: D. Bertrand
Linear forms on arithmetic Abelian varieties: ineffective bounds. (English) Zbl 0456.10018
Mém. Soc. Math. Fr., Nouv. Sér. 2, 41-47 (1980).
Rings satisfying a polynomial identity (Ausarbeitung: Christine Bessenrodt). (English) Zbl 0455.16004
Vorlesungen Fachbereich Math. Univ. Essen 5, 38 p. (1980).
Transcendence properties of abelian integrals. (English) Zbl 0452.10037
Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 309-318 (1980).
Reviewer: David W. Masser
Schwarz lemmas in several variables and arithmetical applications. (Lemmes de Schwarz en plusieurs variables et applications arithmétiques.) (French) Zbl 0452.10036
Sémin. P. Lelong - H. Skoda, Analyse, Années 1978/79, Lect. Notes Math. 822, 174-190 (1980).
Reviewer: T. A. Metzger (Pittsburgh)
Sur la mesure de la transcendance de nombres dépendant d’équations différentielles de type Fuchsien. (French) Zbl 0452.10035
Reviewer: Michel Waldschmidt (Paris)
Quadratur des Kreises und Transzendenz von \(\pi\). Übers. aus dem Russischen von K. Bratz. Mit Vorwort, Einleitung und zwei Anhängen von H. Pieper sowie einem Anhang von A. O. Gel’fond. (German) Zbl 0452.00001
Kleine Ergänzungsreihe zu den Hochschulbüchern für Mathematik, XXXII. Berlin: VEB Deutscher Verlag der Wissenschaften. 138 S., 18 Abb. M 8.00 (1980).
MSC:
00-01
On arithmetic properties of polynomials in values of \(E\)-functions that are connected by algebraic equations over a rational function field. (Russian) Zbl 0451.10021
The generalized Ramanujan-Nagell equation. (English) Zbl 0451.10012
Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 257-267 (1980).
Reviewer: Frits Beukers
Indépendance algébrique de valeurs de fonctions elliptiques \(p\)-adiques. (French) Zbl 0448.10027
Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 223-235 (1980).
Reviewer: François Gramain (Saint-Etienne)
Constructive and non-constructive methods of proofs of irrationality and transcendency and algebraic independence of periods of Abelian varieties. (English) Zbl 0448.10026
Mém. Soc. Math. Fr., Nouv. Sér. 2, 21-22 (1980).
Some wonderful formulas…an introduction to polylogarithms. (English) Zbl 0448.10025
Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 269-286 (1980).
MSC:
11J81
Sous-groupes à plusieurs paramètres \(p\)-adiques de variétés abéliennes. (French) Zbl 0445.14020
Groupe Étude Anal. Ultramétrique, 6e Année 1978/79, Exp. No. 9, 7 p. (1980).
Reviewer: Daniel Bertrand
Transcendence measure of values of functions satisfying certain functional equations. (English) Zbl 0444.10029
MSC:
11J81
Propriétés arithmétiques de fonctions de plusieurs variables. III. (French) Zbl 0444.10028
Semin. P. Lelong - H. Skoda, Analyse, Annees 1978/79, Lect. Notes Math. 822, 332-356 (1980).
On quasi-periods of abelian functions with complex multiplication. (English) Zbl 0444.10027
Mém. Soc. Math. Fr., Nouv. Sér. 2, 55-68 (1980).
Reviewer: Michel Waldschmidt (Paris)
Quelques travaux récents en théorie des nombres transcendants. (French) Zbl 0444.10026
Mém. Soc. Math. Fr., Nouv. Sér. 2, 107-119 (1980).
Reviewer: François Gramain
On transcendental numbers. (Finnish) Zbl 0442.10022
On an estimate on dual transcendence measures of the values of E-functions connected by arbitrary algebraic equations over \(\mathbb C(z)\). (Russian) Zbl 0441.10034
Reviewer: J. H. Loxton
Approximationsmaße und spezielle Systeme algebraisch unabhängiger p-adischer Zahlen. (German) Zbl 0439.10024
Mathematisch-Naturwissenschaftliche Fakultät der Universität zu Köln. 133 S. (1980).
Approximation diophantienne de valeurs de la fonction beta aux points rationnels. (French) Zbl 0439.10022
MSC:
11J81
Approximation de nombres lies à la fonction sigma de Weierstrass. (French) Zbl 0439.10021
MSC:
11J81
Legendre polynomials in irrationality proofs. (English) Zbl 0436.10016
MSC:
11J81
Arithmetic properties of certain power series with algebraic coefficients. (English) Zbl 0435.10021
Semin. Theor. Nombres 1979-1980, Expose No. 27, 5 P. (1980).
Sur l’accélération de la convergence de certaines fractions continues. (French) Zbl 0435.10019
Semin. Theor. Nombres 1979-1980, Expose No. 23, 25 P. (1980).
Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem. (English) Zbl 0434.10024
Reviewer: Michel Waldschmidt (Paris)
Old and new problems and results in combinatorial number theory. (English) Zbl 0434.10001
Reviewer: Ian Anderson (Glasgow)
On total transcendence of modules. (English) Zbl 0433.03017
Prepr., Akad. Wiss. DDR, Zentralinst. Math. Mech. P-22/80, 11 p. (1980).
Approximation algébrique de nombres lies aux fonctions elliptiques et exponentielle. (French) Zbl 0432.10018
MSC:
11J81
Algebraic independence of values of exponential and elliptic functions. (English) Zbl 0431.10019
Proc. int. Congr. Math., Helsinki 1978, Vol. 1, 339-350 (1980).
On a measure of transcendence for values of functions satisfying some functional equations. (Russian) Zbl 0426.10036
MSC:
11J81
Transcendance de periodes d’intégrales elliptiques. (French) Zbl 0426.10033
Semin. Delange-Pisot-Poitou, 20e Annee 1978/79, Theorie des nombres, Fasc. 1, Exp. 13, 4 p. (1980).
Legendre polynomials and irrationality. (English) Zbl 0425.10039
MSC:
11J81
Über eine Klasse reeller transzendenter Zahlen mit explizit angebbarer g-adischer und Kettenbruch-Entwicklung. (German) Zbl 0425.10038
Irrationalité de \(\zeta (3)\) selon Apéry. (French) Zbl 0423.10020
Sémin. Delange-Pisot-Poitou, 20e Année 1978/79, Théorie des Nombres, Fasc. 1, Exp. No. 6, 6 p. (1980).
Reviewer: Frits Beukers (Utrecht)
Some wonderful formulae…Footnotes to Apery’s proof of the irrationality of \(\zeta (3)\). (English) Zbl 0423.10019
Semin. Delange-Pisot-Poitou, 20e Annee 1978/79, Theorie des Nombres, Fasc. 2. Exp. 29, 7 p. (1980).
Algebraische Unabhängigkeit von Funktionen, die gewissen Differentialgleichungen genügen. (German) Zbl 0422.10028
MSC:
11J85
Simultaneous Diophantine approximations and Hermite’s method. (English) Zbl 0421.10020
Reviewer: Peter Bundschuh (Köln)
Independance linéaire de valeurs de fonctions doublement quasi- périodiques. (French) Zbl 0419.10035
On linear forms of a certain class of G-functions and \(p\)-adic G-functions. (English) Zbl 0369.10021
MSC:
11J81
A lower bound for linear forms in logarithms. (English) Zbl 0357.10017
MSC:
11J81
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