特殊值猜想与zeta函数的泛函方程的相容性

IF 0.9 3区数学 Q2 MATHEMATICS Documenta Mathematica Pub Date : 2020-05-11 DOI:10.4171/dm/852

M. Flach, B. Morin

{"title":"特殊值猜想与zeta函数的泛函方程的相容性","authors":"M. Flach, B. Morin","doi":"10.4171/dm/852","DOIUrl":null,"url":null,"abstract":"We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the functional equation of the Zeta function provided that the factor C(X,n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":"24 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Compatibility of special value conjectures with the functional equation of zeta functions\",\"authors\":\"M. Flach, B. Morin\",\"doi\":\"10.4171/dm/852\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the functional equation of the Zeta function provided that the factor C(X,n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].\",\"PeriodicalId\":50567,\"journal\":{\"name\":\"Documenta Mathematica\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2020-05-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Documenta Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/dm/852\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Documenta Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/dm/852","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 6

摘要

我们证明了我们在上一篇文章[8]中提出的关于正规算术格式X的Zeta函数的特殊值猜想与Zeta函数的泛函方程是相容的，只要因子C(X,n)我们不能在loc中计算。cite .具有[9]中建议的简单显式形式。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Compatibility of special value conjectures with the functional equation of zeta functions

We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the functional equation of the Zeta function provided that the factor C(X,n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].

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

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.

期刊最新文献

Corrigendum to “The variety of polar simplices” On the existence of uniformly bounded self-adjoint bases in GNS spaces Genuine versus naïve symmetric monoidal $G$-categories Seshadri constants of parabolic vector bundles The locus of curves with an odd subcanonical point