#### Vol. 295, No. 2, 2018

 Recent Issues Vol. 299: 1  2 Vol. 298: 1  2 Vol. 297: 1  2 Vol. 296: 1  2 Vol. 295: 1  2 Vol. 294: 1  2 Vol. 293: 1  2 Vol. 292: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Special Issues Submission Guidelines Submission Form Contacts Author Index To Appear ISSN: 1945-5844 (e-only) ISSN: 0030-8730 (print) Other MSP Journals
Theta correspondence and the Prasad conjecture for SL(2)

### Hengfei Lu

Vol. 295 (2018), No. 2, 477–498
##### Abstract

We use relations between the base change representations and theta lifts, to give a new proof to the local period problems of $SL\left(2\right)$ over a nonarchimedean quadratic field extension $E∕F$. Then we verify the Prasad conjecture for  $SL\left(2\right)$. With a similar strategy, we obtain a certain result for the Prasad conjecture for $Sp\left(4\right)$.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/pjm

We have not been able to recognize your IP address 35.175.179.52 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.