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Article: On modular signs

TitleOn modular signs
Authors
Kowalski, ELau, YKSoundararajan, KWu, J
Issue Date2010
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=PSP
Citation
Mathematical Proceedings Of The Cambridge Philosophical Society, 2010, v. 149 n. 3, p. 389-411 How to Cite?
DOI: http://dx.doi.org/10.1017/S030500411000040X
AbstractWe consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for suitable sets of primes, determine uniquely the modular form, and we give both individual and statistical results. The second problem, which has been considered by a number of authors, is to determine the size, in terms of the conductor and weight, of the first sign-change of Hecke eigenvalues. Here we improve the recent estimate of Iwaniec, Kohnen and Sengupta. © Cambridge Philosophical Society 2010.
Persistent Identifierhttp://hdl.handle.net/10722/156262
ISSN
0305-0041
2021 Impact Factor: 0.949
2020 SCImago Journal Rankings: 0.781
ISI Accession Number ID
WOS:000283812700002
Funding AgencyGrant Number
National Science FoundationDMS-0635607
DMS 0500711
Institute for Advanced Study, Princeton
Funding Information:

Supported in part by the National Science Foundation under agreement No. DMS-0635607 during a sabbatical stay at the Institute for Advanced Study.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorKowalski, Een_US
dc.contributor.authorLau, YKen_US
dc.contributor.authorSoundararajan, Ken_US
dc.contributor.authorWu, Jen_US
dc.date.accessioned2012-08-08T08:41:05Z-
dc.date.available2012-08-08T08:41:05Z-
dc.date.issued2010en_US
dc.identifier.citationMathematical Proceedings Of The Cambridge Philosophical Society, 2010, v. 149 n. 3, p. 389-411en_US
dc.identifier.issn0305-0041en_US
dc.identifier.urihttp://hdl.handle.net/10722/156262-
dc.description.abstractWe consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for suitable sets of primes, determine uniquely the modular form, and we give both individual and statistical results. The second problem, which has been considered by a number of authors, is to determine the size, in terms of the conductor and weight, of the first sign-change of Hecke eigenvalues. Here we improve the recent estimate of Iwaniec, Kohnen and Sengupta. © Cambridge Philosophical Society 2010.en_US
dc.languageengen_US
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=PSPen_US
dc.relation.ispartofMathematical Proceedings of the Cambridge Philosophical Societyen_US
dc.titleOn modular signsen_US
dc.typeArticleen_US
dc.identifier.emailLau, YK:yklau@maths.hku.hken_US
dc.identifier.authorityLau, YK=rp00722en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1017/S030500411000040Xen_US
dc.identifier.scopuseid_2-s2.0-79451472370en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79451472370&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume149en_US
dc.identifier.issue3en_US
dc.identifier.spage389en_US
dc.identifier.epage411en_US
dc.identifier.eissn1469-8064-
dc.identifier.isiWOS:000283812700002-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridKowalski, E=7006982123en_US
dc.identifier.scopusauthoridLau, YK=35724053400en_US
dc.identifier.scopusauthoridSoundararajan, K=7004136847en_US
dc.identifier.scopusauthoridWu, J=36248039200en_US
dc.identifier.issnl0305-0041-

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