{"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}
引用次数: 0
Abstract
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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