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- Publisher Website: 10.1016/j.jnt.2011.05.015
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Article: Higher power moments of the Riesz mean error term of symmetric square L-function
Title | Higher power moments of the Riesz mean error term of symmetric square L-function |
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Authors | |
Keywords | Symmetric square L-function Power moment Voronoi-type formula |
Issue Date | 2011 |
Citation | Journal of Number Theory, 2011, v. 131, n. 12, p. 2247-2261 How to Cite? |
Abstract | Let Δρ(x;sym2f) be the error term of the Riesz mean of the symmetric square L-function. We give the higher power moments of Δρ(x;sym2f) and show that if there exists a real number A0:=A0(ρ)>3 such that ∫1T|Δρ(x;sym2f)|A0dx≪T1+2ρ+1/3A0+ε, then we can derive asymptotic formulas for ∫1TΔρh(x;sym2f)dx, 3≤h |
Persistent Identifier | http://hdl.handle.net/10722/265603 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.780 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, Kui | - |
dc.contributor.author | Wang, Haiyan | - |
dc.date.accessioned | 2018-12-03T01:21:09Z | - |
dc.date.available | 2018-12-03T01:21:09Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Journal of Number Theory, 2011, v. 131, n. 12, p. 2247-2261 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/10722/265603 | - |
dc.description.abstract | Let Δρ(x;sym2f) be the error term of the Riesz mean of the symmetric square L-function. We give the higher power moments of Δρ(x;sym2f) and show that if there exists a real number A0:=A0(ρ)>3 such that ∫1T|Δρ(x;sym2f)|A0dx≪T1+2ρ+1/3A0+ε, then we can derive asymptotic formulas for ∫1TΔρh(x;sym2f)dx, 3≤h<A0, h∈N{double-struck}. Particularly, we get asymptotic formulas for ∫1TΔ1/2h(x;sym2f)dx, h=3,4,5 unconditionally. © 2011 Elsevier Inc. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Number Theory | - |
dc.subject | Symmetric square L-function | - |
dc.subject | Power moment | - |
dc.subject | Voronoi-type formula | - |
dc.title | Higher power moments of the Riesz mean error term of symmetric square L-function | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jnt.2011.05.015 | - |
dc.identifier.scopus | eid_2-s2.0-79961111882 | - |
dc.identifier.volume | 131 | - |
dc.identifier.issue | 12 | - |
dc.identifier.spage | 2247 | - |
dc.identifier.epage | 2261 | - |
dc.identifier.isi | WOS:000294983900001 | - |
dc.identifier.issnl | 0022-314X | - |