This article is available for purchase or by subscription. See below.
Abstract
|
Given a pure motive
over
with a multilinear
algebraic structure
on
, and given a
representation
of the group
respecting
, we describe
a functorial transfer
.
We formulate a criterion that guarantees when the two periods of
are equal. This has an implication for the critical values of the
-function attached
to
. The criterion
is explicated in a variety of examples such as: tensor product motives and Rankin–Selberg
-functions; orthogonal motives
and the standard
-function
for even orthogonal groups; twisted tensor motives and Asai
-functions.
|
PDF Access Denied
We have not been able to recognize your IP address
18.97.9.168
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
periods of motives, special values of $L$-functions,
Langlands functoriality
|
Mathematical Subject Classification
Primary: 11F67
Secondary: 11G09, 22E55
|
Milestones
Received: 6 November 2023
Revised: 11 September 2024
Accepted: 26 September 2024
Published: 7 March 2025
|
© 2025 MSP (Mathematical Sciences
Publishers). |
|