Periods of automorphic forms, poles of L-functions and functorial lifting

David Ginzburg; Di Hua Jiang; David Soudry

doi:10.1007/s11425-010-4020-9

Periods of automorphic forms, poles of L-functions and functorial lifting

David Ginzburg, Di Hua Jiang, David Soudry

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper, we survey our work on period, poles or special values of certain automorphic L-functions and their relations to certain types of Langlands functorial transfers. We outline proofs for some results and leave others as conjectures.

Original language	English (US)
Pages (from-to)	2215-2238
Number of pages	24
Journal	Science China Mathematics
Volume	53
Issue number	9
DOIs	https://doi.org/10.1007/s11425-010-4020-9
State	Published - 2010

Bibliographical note

Funding Information:
Acknowledgements The work of the second author was supported in part by the Natural Science Foundation of USA (Grant Nos. DMS-0653742, DMS-1001672) and by the Chinese Academy of Sciences.

Keywords

L-functions
Langlands functoriality
period of automorphic forms

Access

10.1007/s11425-010-4020-9

OpenUrl availability

Full text

Cite this

@article{d5b9c364222344cda8b1fe5b6478c806,

title = "Periods of automorphic forms, poles of L-functions and functorial lifting",

abstract = "In this paper, we survey our work on period, poles or special values of certain automorphic L-functions and their relations to certain types of Langlands functorial transfers. We outline proofs for some results and leave others as conjectures.",

keywords = "L-functions, Langlands functoriality, period of automorphic forms",

author = "David Ginzburg and Jiang, {Di Hua} and David Soudry",

note = "Funding Information: Acknowledgements The work of the second author was supported in part by the Natural Science Foundation of USA (Grant Nos. DMS-0653742, DMS-1001672) and by the Chinese Academy of Sciences.",

year = "2010",

doi = "10.1007/s11425-010-4020-9",

language = "English (US)",

volume = "53",

pages = "2215--2238",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science in China Press",

number = "9",

}

TY - JOUR

T1 - Periods of automorphic forms, poles of L-functions and functorial lifting

AU - Ginzburg, David

AU - Jiang, Di Hua

AU - Soudry, David

N1 - Funding Information: Acknowledgements The work of the second author was supported in part by the Natural Science Foundation of USA (Grant Nos. DMS-0653742, DMS-1001672) and by the Chinese Academy of Sciences.

PY - 2010

Y1 - 2010

N2 - In this paper, we survey our work on period, poles or special values of certain automorphic L-functions and their relations to certain types of Langlands functorial transfers. We outline proofs for some results and leave others as conjectures.

AB - In this paper, we survey our work on period, poles or special values of certain automorphic L-functions and their relations to certain types of Langlands functorial transfers. We outline proofs for some results and leave others as conjectures.

KW - L-functions

KW - Langlands functoriality

KW - period of automorphic forms

UR - http://www.scopus.com/inward/record.url?scp=77956485573&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956485573&partnerID=8YFLogxK

U2 - 10.1007/s11425-010-4020-9

DO - 10.1007/s11425-010-4020-9

M3 - Article

AN - SCOPUS:77956485573

SN - 1674-7283

VL - 53

SP - 2215

EP - 2238

JO - Science China Mathematics

JF - Science China Mathematics

IS - 9

ER -

Periods of automorphic forms, poles of L-functions and functorial lifting

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this