HST提升的显式内积公式和贝塞尔周期公式

IF 0.5 4区数学 Q3 MATHEMATICS

Kyoto Journal of Mathematics Pub Date : 2018-10-05 DOI:10.1215/21562261-2022-0004

K. Namikawa

{"title":"HST提升的显式内积公式和贝塞尔周期公式","authors":"K. Namikawa","doi":"10.1215/21562261-2022-0004","DOIUrl":null,"url":null,"abstract":"We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non-vanishing of the theta series of small weights and we give a criterion for the non-vanishing of the theta series modulo a prime.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2018-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Explicit inner product formulas and Bessel period formulas for HST lifts\",\"authors\":\"K. Namikawa\",\"doi\":\"10.1215/21562261-2022-0004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non-vanishing of the theta series of small weights and we give a criterion for the non-vanishing of the theta series modulo a prime.\",\"PeriodicalId\":49149,\"journal\":{\"name\":\"Kyoto Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2018-10-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kyoto Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1215/21562261-2022-0004\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyoto Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1215/21562261-2022-0004","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

我们明确地给出了GSp（4）上θ级数的内积公式和贝塞尔周期公式，这是Harris、Soudry和Taylor研究的。因此，我们证明了小权的θ级数的不消失，并给出了模a素数的θ级数不消失的判据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Explicit inner product formulas and Bessel period formulas for HST lifts

We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non-vanishing of the theta series of small weights and we give a criterion for the non-vanishing of the theta series modulo a prime.

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

来源期刊

Kyoto Journal of Mathematics MATHEMATICS-

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.