000 | 03527nam a22005415i 4500 | ||
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001 | 978-3-540-47146-2 | ||
003 | DE-He213 | ||
005 | 20190213151806.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1990 gw | s |||| 0|eng d | ||
020 |
_a9783540471462 _9978-3-540-47146-2 |
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024 | 7 |
_a10.1007/BFb0093846 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
245 | 1 | 0 |
_aTopics in Nevanlinna Theory _h[electronic resource] / _cedited by Serge Lang, William Cherry. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1990. |
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300 |
_aCLXXXIV, 180 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1433 |
|
505 | 0 | _aNevanlinna theory in one variable -- Equidimensional higher dimensional theory -- Nevanlinna Theory for Meromorphic Functions on Coverings of C -- Equidimensional Nevanlinna Theory on Coverings of Cn. | |
520 | _aThese 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. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aNumber theory. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
700 | 1 |
_aLang, Serge. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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700 | 1 |
_aCherry, William. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662213599 |
776 | 0 | 8 |
_iPrinted edition: _z9783540527855 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1433 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093846 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11905 _d11905 |