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Lectures on transcendental numbers / / K. Mahler ; edited and compiled by B. Diviš and W. J. Le Veque



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Autore: Mahler Kurt Visualizza persona
Titolo: Lectures on transcendental numbers / / K. Mahler ; edited and compiled by B. Diviš and W. J. Le Veque Visualizza cluster
Pubblicazione: Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1976]
©1976
Edizione: 1st ed. 1976.
Descrizione fisica: 1 online resource (XXI, 254 p.)
Disciplina: 512.73
Soggetto topico: Transcendental numbers
Number theory
Differential equations, Linear
Persona (resp. second.): DivišB
LeVequeWilliam Judson
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Existence and first properties of transcendental numbers -- Convergent laurent series and formal laurent series -- First results on the values of analytic functions at algebraic points -- Linear differential equations: The lemmas of Shidlovski -- Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points -- Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions -- Applications of Shidlovski's main theorems to special functions -- Formal power series as solutions of algebraic differential equations.
Titolo autorizzato: Lectures on transcendental numbers  Visualizza cluster
ISBN: 3-540-37981-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466635503316
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Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 546.