{"title":"论与拉玛努扬的一些 $q$ 系列有关的新的最小超分区排除因子","authors":"Aritram Dhar, Avi Mukhopadhyay, Rishabh Sarma","doi":"arxiv-2409.06121","DOIUrl":null,"url":null,"abstract":"Analogous to Andrews' and Newman's discovery and work on the minimal\nexcludant or \"mex\" of partitions, we define four new classes of minimal\nexcludants for overpartitions and unearth relations to certain functions due to\nRamanujan.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"10 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On new minimal excludants of overpartitions related to some $q$-series of Ramanujan\",\"authors\":\"Aritram Dhar, Avi Mukhopadhyay, Rishabh Sarma\",\"doi\":\"arxiv-2409.06121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Analogous to Andrews' and Newman's discovery and work on the minimal\\nexcludant or \\\"mex\\\" of partitions, we define four new classes of minimal\\nexcludants for overpartitions and unearth relations to certain functions due to\\nRamanujan.\",\"PeriodicalId\":501064,\"journal\":{\"name\":\"arXiv - MATH - Number Theory\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Number Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.06121\",\"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 - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On new minimal excludants of overpartitions related to some $q$-series of Ramanujan
Analogous to Andrews' and Newman's discovery and work on the minimal
excludant or "mex" of partitions, we define four new classes of minimal
excludants for overpartitions and unearth relations to certain functions due to
Ramanujan.
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