{"title":"整数序列与动力学","authors":"Tom Ward","doi":"10.1016/j.endm.2018.11.014","DOIUrl":null,"url":null,"abstract":"<div><p>Integer sequences express and capture many important concepts in number theory. They also arise naturally in some parts of dynamical systems, and we will explain some of the questions and relationships that arise in looking at integer sequences from these two perspectives. One of these connections occurs between prime numbers and closed orbits. In algebraic and geometric settings, there are hints of a quite widespread Pólya–Carlson dichotomy.</p></div>","PeriodicalId":35408,"journal":{"name":"Electronic Notes in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.endm.2018.11.014","citationCount":"0","resultStr":"{\"title\":\"Integer sequences and dynamics\",\"authors\":\"Tom Ward\",\"doi\":\"10.1016/j.endm.2018.11.014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Integer sequences express and capture many important concepts in number theory. They also arise naturally in some parts of dynamical systems, and we will explain some of the questions and relationships that arise in looking at integer sequences from these two perspectives. One of these connections occurs between prime numbers and closed orbits. In algebraic and geometric settings, there are hints of a quite widespread Pólya–Carlson dichotomy.</p></div>\",\"PeriodicalId\":35408,\"journal\":{\"name\":\"Electronic Notes in Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.endm.2018.11.014\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Notes in Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1571065318302099\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571065318302099","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
Integer sequences express and capture many important concepts in number theory. They also arise naturally in some parts of dynamical systems, and we will explain some of the questions and relationships that arise in looking at integer sequences from these two perspectives. One of these connections occurs between prime numbers and closed orbits. In algebraic and geometric settings, there are hints of a quite widespread Pólya–Carlson dichotomy.
期刊介绍：
Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.
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