{"title":"马宁模态迭代积分的分布","authors":"Nils Matthes, Morten S. Risager","doi":"10.1515/crelle-2024-0024","DOIUrl":null,"url":null,"abstract":"\n We determine the asymptotic distribution of Manin’s iterated integrals of length at most 2.\nFor all lengths, we compute all the asymptotic moments.\nWe show that if the length is at least 3, these moments do in general not determine a unique distribution.","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"24 10","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The distribution of Manin’s iterated integrals of modular forms\",\"authors\":\"Nils Matthes, Morten S. Risager\",\"doi\":\"10.1515/crelle-2024-0024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n We determine the asymptotic distribution of Manin’s iterated integrals of length at most 2.\\nFor all lengths, we compute all the asymptotic moments.\\nWe show that if the length is at least 3, these moments do in general not determine a unique distribution.\",\"PeriodicalId\":508691,\"journal\":{\"name\":\"Journal für die reine und angewandte Mathematik (Crelles Journal)\",\"volume\":\"24 10\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal für die reine und angewandte Mathematik (Crelles Journal)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/crelle-2024-0024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal für die reine und angewandte Mathematik (Crelles Journal)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/crelle-2024-0024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The distribution of Manin’s iterated integrals of modular forms
We determine the asymptotic distribution of Manin’s iterated integrals of length at most 2.
For all lengths, we compute all the asymptotic moments.
We show that if the length is at least 3, these moments do in general not determine a unique distribution.
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