{"title":"马勒型自治方程及其超越","authors":"K. Nishioka, Seiji Nishioka","doi":"10.21099/tkbjm/1461270059","DOIUrl":null,"url":null,"abstract":". In this paper, we study transcendence of values of Mahler functions satisfying first-order rational di¤erence equations of Mahler type with constant coe‰cients.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Autonomous equations of Mahler type and transcendence\",\"authors\":\"K. Nishioka, Seiji Nishioka\",\"doi\":\"10.21099/tkbjm/1461270059\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we study transcendence of values of Mahler functions satisfying first-order rational di¤erence equations of Mahler type with constant coe‰cients.\",\"PeriodicalId\":44321,\"journal\":{\"name\":\"Tsukuba Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2016-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tsukuba Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21099/tkbjm/1461270059\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tsukuba Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21099/tkbjm/1461270059","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Autonomous equations of Mahler type and transcendence
. In this paper, we study transcendence of values of Mahler functions satisfying first-order rational di¤erence equations of Mahler type with constant coe‰cients.