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Article: Fourier coefficients of cusp forms of half-integral weight
Title | Fourier coefficients of cusp forms of half-integral weight |
---|---|
Authors | |
Keywords | Forms Of Half-Integer Weight Fourier Coefficients Of Automorphic Forms {Mathematical Expression} -Free Numbers |
Issue Date | 2013 |
Publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm |
Citation | Mathematische Zeitschrift, 2013, v. 273 n. 1-2, p. 29-41 How to Cite? |
Abstract | Let {Mathematical expression} be a cusp form of half integral weight whose Fourier coefficients {Mathematical expression} are all real. We study the sign change problem of {Mathematical expression}, when n runs over some specific sets of integers. Lower bounds of the best possible order of magnitude are established for the number of those coefficients that have the same signs. These give an improvement on some recent results of Bruinier and Kohnen (Modular forms on Schiermonnikoong. Cambridge University Press, Cambridge 57-66, 2008) and Kohnen (Int. J. Number. Theory 6:1255-1259, 2010). © 2012 Springer-Verlag. |
Persistent Identifier | http://hdl.handle.net/10722/156280 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 1.097 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Kohnen, W | en_US |
dc.contributor.author | Lau, YK | en_US |
dc.contributor.author | Wu, J | en_US |
dc.date.accessioned | 2012-08-08T08:41:09Z | - |
dc.date.available | 2012-08-08T08:41:09Z | - |
dc.date.issued | 2013 | en_US |
dc.identifier.citation | Mathematische Zeitschrift, 2013, v. 273 n. 1-2, p. 29-41 | en_US |
dc.identifier.issn | 0025-5874 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156280 | - |
dc.description.abstract | Let {Mathematical expression} be a cusp form of half integral weight whose Fourier coefficients {Mathematical expression} are all real. We study the sign change problem of {Mathematical expression}, when n runs over some specific sets of integers. Lower bounds of the best possible order of magnitude are established for the number of those coefficients that have the same signs. These give an improvement on some recent results of Bruinier and Kohnen (Modular forms on Schiermonnikoong. Cambridge University Press, Cambridge 57-66, 2008) and Kohnen (Int. J. Number. Theory 6:1255-1259, 2010). © 2012 Springer-Verlag. | en_US |
dc.language | eng | en_US |
dc.publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00209/index.htm | en_US |
dc.relation.ispartof | Mathematische Zeitschrift | en_US |
dc.subject | Forms Of Half-Integer Weight | en_US |
dc.subject | Fourier Coefficients Of Automorphic Forms | en_US |
dc.subject | {Mathematical Expression} -Free Numbers | en_US |
dc.title | Fourier coefficients of cusp forms of half-integral weight | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lau, YK:yklau@maths.hku.hk | en_US |
dc.identifier.authority | Lau, YK=rp00722 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1007/s00209-012-0994-z | en_US |
dc.identifier.scopus | eid_2-s2.0-84872300703 | en_US |
dc.identifier.hkuros | 220070 | - |
dc.identifier.spage | 29 | en_US |
dc.identifier.epage | 41 | en_US |
dc.identifier.isi | WOS:000313445300003 | - |
dc.publisher.place | Germany | en_US |
dc.identifier.scopusauthorid | Kohnen, W=7003954289 | en_US |
dc.identifier.scopusauthorid | Lau, YK=35724053400 | en_US |
dc.identifier.scopusauthorid | Wu, J=54954953800 | en_US |
dc.identifier.citeulike | 10630737 | - |
dc.identifier.issnl | 0025-5874 | - |