Download this article
 Download this article For screen
For printing
Recent Issues

Volume 17
Issue 10, 1681–1865
Issue 9, 1533–1680
Issue 8, 1359–1532
Issue 7, 1239–1357
Issue 6, 1127–1237
Issue 5, 981–1126
Issue 4, 805–980
Issue 3, 541–804
Issue 2, 267–539
Issue 1, 1–266

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
Spectral reciprocity via integral representations

Ramon M. Nunes

Vol. 17 (2023), No. 8, 1381–1409
Abstract

We prove a spectral reciprocity formula for automorphic forms on GL (2) over a number field that is reminiscent of one found by Blomer and Khan. Our approach uses period representations of L-functions and the language of automorphic representations.

Keywords
automorphic representations, L-functions, Rankin–Selberg
Mathematical Subject Classification
Primary: 11F03, 11F66, 11F70
Milestones
Received: 21 March 2021
Revised: 2 May 2022
Accepted: 6 July 2022
Published: 29 August 2023
Authors
Ramon M. Nunes
Departamento de Matemática
Universidade Federal do Ceará
Fortaleza
Brazil

Open Access made possible by participating institutions via Subscribe to Open.