On the fourth moment in the Rankin-Selberg problem

. If denotes the error term in the classical Rankin-Selberg problem, then it is proved that where Δ 1 ( x ) = ∫ x 0 Δ( u ) du . The latter bound is, up to ‘ɛ’, best possible.

Saved in:
Bibliographic Details
Published inArchiv der Mathematik Vol. 90; no. 5; pp. 412 - 419
Main Author Ivić, Aleksandar
Format Journal Article
LanguageEnglish
Published Basel SP Birkhäuser Verlag Basel 01.05.2008
Subjects
Mathematics
Mathematics and Statistics
44A15
Voronoï type formula
The Rankin-Selberg problem
mean square estimates
26A12
Selberg class
11M06
11N37
Online AccessGet full text

Cover

More Information
Summary:. If denotes the error term in the classical Rankin-Selberg problem, then it is proved that where Δ 1 ( x ) = ∫ x 0 Δ( u ) du . The latter bound is, up to ‘ɛ’, best possible.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-008-2326-4