{"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}
引用次数: 0
Abstract
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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