{"title":"沃尔特-伯格韦勒在微函数值分布方面的工作","authors":"Alexandre Eremenko","doi":"arxiv-2406.09992","DOIUrl":null,"url":null,"abstract":"This is a colloquium talk in CAU, Kiel delivered on June 7, 2024 on the\noccasion of Walter Bergweiler's retirement. Walter's work on meromorphic\nfunctions consists of two parts: generalizations of Picard's theorem to\ndifferential polynomials, and the applications of the rescaling principle known\nas the Bloch Principle. Since the talk was aimed at the general audience, a\nbrief introduction to Nevanlinna theory is included.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The work of Walter Bergweiler in value distribution of meromorphic functions\",\"authors\":\"Alexandre Eremenko\",\"doi\":\"arxiv-2406.09992\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is a colloquium talk in CAU, Kiel delivered on June 7, 2024 on the\\noccasion of Walter Bergweiler's retirement. Walter's work on meromorphic\\nfunctions consists of two parts: generalizations of Picard's theorem to\\ndifferential polynomials, and the applications of the rescaling principle known\\nas the Bloch Principle. Since the talk was aimed at the general audience, a\\nbrief introduction to Nevanlinna theory is included.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.09992\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.09992","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The work of Walter Bergweiler in value distribution of meromorphic functions
This is a colloquium talk in CAU, Kiel delivered on June 7, 2024 on the
occasion of Walter Bergweiler's retirement. Walter's work on meromorphic
functions consists of two parts: generalizations of Picard's theorem to
differential polynomials, and the applications of the rescaling principle known
as the Bloch Principle. Since the talk was aimed at the general audience, a
brief introduction to Nevanlinna theory is included.
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