{"title":"Sato tau functions and construction of Somos sequence","authors":"Mohamed Bensaid","doi":"arxiv-2409.05911","DOIUrl":null,"url":null,"abstract":"In this short article, we will reconstruct the KP equation from Plucker\nrelations and provide some generalizations on this topic. Additionally, in the\nfinal section, we define the discrete function $\\tau$ in a similar manner,\nleading to the construction of an integer sequence that has not yet been listed\nin the OEIS. Furthermore, this approach allows us to construct many other\nsequences that are not listed in the OEIS.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"25 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","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-2409.05911","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
In this short article, we will reconstruct the KP equation from Plucker
relations and provide some generalizations on this topic. Additionally, in the
final section, we define the discrete function $\tau$ in a similar manner,
leading to the construction of an integer sequence that has not yet been listed
in the OEIS. Furthermore, this approach allows us to construct many other
sequences that are not listed in the OEIS.
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