Articoli correlati a Topics in Nevanlinna Theory: 1433
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These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn. Conjecturally best possible error terms are obtained following a method of Ahlfors and Wong. This is especially significant when obtaining uniformity for the error term w.r.t. coverings, since the analytic yields case a strong version of Vojta's conjectures in the number-theoretic case involving the theory of heights. The counting function for the ramified locus in the analytic case is the analogue of the normalized logarithmetic discriminant in the number-theoretic case, and is seen to occur with the expected coefficient 1. The error terms are given involving an approximating function (type function) similar to the probabilistic type function of Khitchine in number theory. The leisurely exposition allows readers with no background in Nevanlinna Theory to approach some of the basic remaining problems around the error term. It may be used as a continuation of a graduate course in complex analysis, also leading into complex differential geometry.
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Contenuti
Nevanlinna theory in one variable.- Equidimensional higher dimensional theory.- Nevanlinna Theory for Meromorphic Functions on Coverings of C.- Equidimensional Nevanlinna Theory on Coverings of Cn.
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- EditoreSpringer Berlin Heidelberg
- Data di pubblicazione2010
- ISBN 10 3540527850
- ISBN 13 9783540527855
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine184
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Topics in Nevanlinna Theory. Lecture notes in mathematics; Bd. 1433.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03505 3540527850 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2489417
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Topics in Nevanlinna Theory (Lecture Notes in Mathematics)
Editore:
Springer Berlin Heidelberg, 1990
ISBN 10: 3540527850
ISBN 13: 9783540527855
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Paperback. Condizione: Good. Type: Book Plain label inside cover.Pages a little darkened. Codice articolo 052387
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Topics in Nevanlinna Theory
Editore:
Springer Berlin Heidelberg Jul 1990, 1990
ISBN 10: 3540527850
ISBN 13: 9783540527855
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn. Conjecturally best possible error terms are obtained following a method of Ahlfors and Wong. This is especially significant when obtaining uniformity for the error term w.r.t. coverings, since the analytic yields case a strong version of Vojta's conjectures in the number-theoretic case involving the theory of heights. The counting function for the ramified locus in the analytic case is the analogue of the normalized logarithmetic discriminant in the number-theoretic case, and is seen to occur with the expected coefficient 1. The error terms are given involving an approximating function (type function) similar to the probabilistic type function of Khitchine in number theory. The leisurely exposition allows readers with no background in Nevanlinna Theory to approach some of the basic remaining problems around the error term. It may be used as a continuation of a graduate course in complex analysis, also leading into complex differential geometry. 184 pp. Englisch. Codice articolo 9783540527855
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Topics in Nevanlinna Theory
Editore:
Springer Berlin Heidelberg, 1990
ISBN 10: 3540527850
ISBN 13: 9783540527855
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn. Conjecturally best possible error terms are obtained following a method of Ahlfors and Wong. This is especially significant when obtaining uniformity for the error term w.r.t. coverings, since the analytic yields case a strong version of Vojta's conjectures in the number-theoretic case involving the theory of heights. The counting function for the ramified locus in the analytic case is the analogue of the normalized logarithmetic discriminant in the number-theoretic case, and is seen to occur with the expected coefficient 1. The error terms are given involving an approximating function (type function) similar to the probabilistic type function of Khitchine in number theory. The leisurely exposition allows readers with no background in Nevanlinna Theory to approach some of the basic remaining problems around the error term. It may be used as a continuation of a graduate course in complex analysis, also leading into complex differential geometry. Codice articolo 9783540527855
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Topics in Nevanlinna Theory (Lecture Notes in Mathematics, 1433)
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Topics in Nevanlinna Theory
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Topics in Nevanlinna Theory
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Topics in Nevanlinna Theory
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Topics in Nevanlinna Theory
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Topics in Nevanlinna Theory (Paperback or Softback)
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Paperback or Softback. Condizione: New. Topics in Nevanlinna Theory 0.6. Book. Codice articolo BBS-9783540527855
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