| dc.contributor.author |
Cicek, Fatma |
|
| dc.contributor.author |
Davidoff, Giuliana |
|
| dc.contributor.author |
Dijols, Sarah |
|
| dc.contributor.author |
Hammonds, Trajan |
|
| dc.contributor.author |
Pollack, Aaron |
|
| dc.contributor.author |
Roy, Manami |
|
| dc.date.accessioned |
2021-05-14T05:18:45Z |
|
| dc.date.available |
2021-05-14T05:18:45Z |
|
| dc.date.issued |
2021-04 |
|
| dc.identifier.citation |
Cicek, Fatma; Davidoff, Giuliana; Dijols, Sarah; Hammonds, Trajan; Pollack, Aaron and Roy, Manami, “The completed standard L-function of modular forms on G2”, arXiv, Cornell University Library, DOI: arXiv:2104.09448, Apr. 2021. |
en_US |
| dc.identifier.uri |
http://arxiv.org/abs/2104.09448 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/6468 |
|
| dc.description.abstract |
Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms on this group, which were introduced by Gan, Gross, and Savin. If π is a cuspidal automorphic representation of G2(A) corresponding to a level one, even weight modular form φ on G2, we define an associated completed standard L-function, Λ(π,Std,s). Assuming that a certain Fourier coefficient of φ is nonzero, we prove the functional equation Λ(π,Std,s)=Λ(π,Std,1−s). The proof proceeds via a careful analysis of a Rankin-Selberg integral due to Gurevich and Segal. |
|
| dc.description.statementofresponsibility |
by Fatma, Cicek, Giuliana Davidoff, Sarah Dijols, Trajan Hammonds, Aaron Pollack and Manami Roy |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.subject |
Number Theory |
en_US |
| dc.subject |
Representation Theory |
en_US |
| dc.title |
The completed standard L-function of modular forms on G2 |
en_US |
| dc.type |
Pre-Print |
en_US |
| dc.relation.journal |
arXiv |
|