{"title":"Product formulas for weight two newforms","authors":"H. Movasati, Younes Nikdelan","doi":"10.12957/cadmat.2020.48389","DOIUrl":null,"url":null,"abstract":"For a weight two newform $f$ attached to an elliptic curve $E$ defined over rational numbers we write $f=q\\prod_{n=1}^\\infty (1-q^n)^{g_n}, \\ g_n\\in\\Z$ and we observe that for some special elliptic curves $g_n$ is an increasing sequence of positive integers.","PeriodicalId":30267,"journal":{"name":"Cadernos do IME Serie Estatistica","volume":"66 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cadernos do IME Serie Estatistica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12957/cadmat.2020.48389","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
For a weight two newform $f$ attached to an elliptic curve $E$ defined over rational numbers we write $f=q\prod_{n=1}^\infty (1-q^n)^{g_n}, \ g_n\in\Z$ and we observe that for some special elliptic curves $g_n$ is an increasing sequence of positive integers.
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