Articles liés à Topics in Nevanlinna Theory
Synopsis
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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- ÉditeurSpringer Berlin Heidelberg
- Date d'édition2010
- ISBN 10 3540527850
- ISBN 13 9783540527855
- ReliureBroché
- Langueanglais
- Nombre de pages184
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Topics in Nevanlinna Theory. Lecture notes in mathematics; Bd. 1433.
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Berlin, Springer, 1990
ISBN 10 : 3540527850
ISBN 13 : 9783540527855
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Topics in Nevanlinna Theory (Lecture Notes in Mathematics, 1433, Band 1433).
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Springer Verlag., 1990
ISBN 10 : 3540527850
ISBN 13 : 9783540527855
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kartoniert
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Topics in Nevanlinna Theory (Lecture Notes in Mathematics)
Edité par
Springer Berlin Heidelberg, 1990
ISBN 10 : 3540527850
ISBN 13 : 9783540527855
Ancien ou d'occasion
Paperback
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Topics in Nevanlinna Theory
Edité par
Springer Berlin Heidelberg, 1990
ISBN 10 : 3540527850
ISBN 13 : 9783540527855
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783540527855
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Topics in Nevanlinna Theory
Edité par
Springer Berlin Heidelberg Jul 1990, 1990
ISBN 10 : 3540527850
ISBN 13 : 9783540527855
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 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
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1990, 1990
ISBN 10 : 3540527850
ISBN 13 : 9783540527855
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. 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. N° de réf. du vendeur 9783540527855
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Topics in Nevanlinna Theory
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Topics in Nevanlinna Theory
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Etat : New. Print on Demand pp. 188 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 5814400
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