从模$p^m$$奇异形式理论的角度论 p-阿代尔西格尔-爱森斯坦数列

Pub Date : 2024-06-13 DOI:10.1007/s00229-024-01571-1

Siegfried Böcherer, Toshiyuki Kikuta

{"title":"从模$p^m$$奇异形式理论的角度论 p-阿代尔西格尔-爱森斯坦数列","authors":"Siegfried Böcherer, Toshiyuki Kikuta","doi":"10.1007/s00229-024-01571-1","DOIUrl":null,"url":null,"abstract":"We show that the p-adic Siegel–Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus theta series of level dividing p, by applying the theory of mod p-power singular forms. As special cases of this result, we derive the results of Nagaoka and Katsurada–Nagaoka.\n","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On p-adic Siegel–Eisenstein series from a point of view of the theory of mod $$p^m$$ singular forms\",\"authors\":\"Siegfried Böcherer, Toshiyuki Kikuta\",\"doi\":\"10.1007/s00229-024-01571-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the p-adic Siegel–Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus theta series of level dividing p, by applying the theory of mod p-power singular forms. As special cases of this result, we derive the results of Nagaoka and Katsurada–Nagaoka.\\n\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00229-024-01571-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00229-024-01571-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们通过应用模 p 幂奇异形式理论，证明了两种数列所附的一般度的 p-adic Siegel-Eisenstein 级数都是除以 p 的属 Theta 级数的线性组合。作为这一结果的特例，我们推导出了 Nagaoka 和 Katsurada-Nagaoka 的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

On p-adic Siegel–Eisenstein series from a point of view of the theory of mod $$p^m$$ singular forms

We show that the p-adic Siegel–Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus theta series of level dividing p, by applying the theory of mod p-power singular forms. As special cases of this result, we derive the results of Nagaoka and Katsurada–Nagaoka.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助