Vol. 12, No. 3, 2019

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

Volume 13
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Editorial Login
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
Other MSP Journals
Effective moments of Dirichlet $L$-functions in Galois orbits

Rizwanur Khan, Ruoyun Lei and Djordje Milićević

Vol. 12 (2019), No. 3, 475–490

Khan, Milićević, and Ngo evaluated the second moment of L-functions associated to certain Galois orbits of primitive Dirichlet characters to modulus a large power of any fixed odd prime p. Their results depend on p-adic Diophantine approximation and are ineffective, in the sense of computability. We obtain an effective asymptotic for this second moment in the case of p = 3,5,7.

$L$-functions, Dirichlet characters, moments
Mathematical Subject Classification 2010
Primary: 11M20
Received: 29 December 2017
Revised: 19 September 2018
Accepted: 12 October 2018
Published: 14 December 2018

Communicated by Stephan Garcia
Rizwanur Khan
Department of Mathematics
University of Mississippi
University, MS
United States
Ruoyun Lei
Department of Mathematics
Bryn Mawr College
Bryn Mawr, PA
United States
Djordje Milićević
Department of Mathematics
Bryn Mawr College
Bryn Mawr, PA
United States