On sign changes of Fourier coefficients of modular forms
It is known that if a nonzero cusp form has real Fourier coefficients, then its Fourier coefficients change signs infinitely often. In this paper, we prove that there is a codimension one subspace in the space of holomorphic modular forms of square-free level such that all of its non-zero forms have...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
31 January 2018
|
| In: |
Research in number theory
Year: 2018, Jahrgang: 4, Heft: 1, Pages: 1-6 |
| ISSN: | 2363-9555 |
| DOI: | 10.1007/s40993-018-0102-5 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/s40993-018-0102-5 Verlag, Volltext: https://link.springer.com/article/10.1007/s40993-018-0102-5 
|
| Verfasserangaben: | Winfried Kohnen, Yichao Zhang |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1571190007 | ||
| 003 | DE-627 | ||
| 005 | 20220814094537.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180319s2018 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s40993-018-0102-5 |2 doi | |
| 035 | |a (DE-627)1571190007 | ||
| 035 | |a (DE-576)501190007 | ||
| 035 | |a (DE-599)BSZ501190007 | ||
| 035 | |a (OCoLC)1340994400 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Kohnen, Winfried |d 1953- |e VerfasserIn |0 (DE-588)1051721881 |0 (DE-627)786621966 |0 (DE-576)40728723X |4 aut | |
| 245 | 1 | 0 | |a On sign changes of Fourier coefficients of modular forms |c Winfried Kohnen, Yichao Zhang |
| 264 | 1 | |c 31 January 2018 | |
| 300 | |a 6 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 19.03.2018 | ||
| 520 | |a It is known that if a nonzero cusp form has real Fourier coefficients, then its Fourier coefficients change signs infinitely often. In this paper, we prove that there is a codimension one subspace in the space of holomorphic modular forms of square-free level such that all of its non-zero forms have similar sign change property. | ||
| 700 | 1 | |a Zhang, Yichao |e VerfasserIn |0 (DE-588)1154712451 |0 (DE-627)101611625X |0 (DE-576)501189920 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Research in number theory |d Heidelberg : Springer, 2015 |g 4(2018,1) Artikel-Nummer 1, 6 Seiten |h Online-Ressource |w (DE-627)833507990 |w (DE-600)2831074-3 |w (DE-576)443329419 |x 2363-9555 |7 nnas |a On sign changes of Fourier coefficients of modular forms |
| 773 | 1 | 8 | |g volume:4 |g year:2018 |g number:1 |g pages:1-6 |g extent:6 |a On sign changes of Fourier coefficients of modular forms |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/s40993-018-0102-5 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://link.springer.com/article/10.1007/s40993-018-0102-5 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180319 | ||
| 993 | |a Article | ||
| 994 | |a 2018 | ||
| 998 | |g 1051721881 |a Kohnen, Winfried |m 1051721881:Kohnen, Winfried |d 110000 |d 110100 |d 110000 |d 110400 |e 110000PK1051721881 |e 110100PK1051721881 |e 110000PK1051721881 |e 110400PK1051721881 |k 0/110000/ |k 1/110000/110100/ |k 0/110000/ |k 1/110000/110400/ |p 1 |x j | ||
| 999 | |a KXP-PPN1571190007 |e 3003669591 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"physDesc":[{"extent":"6 S."}],"relHost":[{"id":{"eki":["833507990"],"zdb":["2831074-3"],"issn":["2363-9555"]},"origin":[{"dateIssuedKey":"2015","publisher":"Springer","dateIssuedDisp":"2015-","publisherPlace":"Heidelberg"}],"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"Research in number theory","subtitle":"a SpringerOpen journal","title_sort":"Research in number theory"}],"language":["eng"],"recId":"833507990","type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"On sign changes of Fourier coefficients of modular formsResearch in number theory","note":["Gesehen am 27.08.15"],"part":{"text":"4(2018,1) Artikel-Nummer 1, 6 Seiten","volume":"4","extent":"6","year":"2018","issue":"1","pages":"1-6"},"pubHistory":["1.2015 -"]}],"name":{"displayForm":["Winfried Kohnen, Yichao Zhang"]},"origin":[{"dateIssuedDisp":"31 January 2018","dateIssuedKey":"2018"}],"id":{"doi":["10.1007/s40993-018-0102-5"],"eki":["1571190007"]},"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Gesehen am 19.03.2018"],"recId":"1571190007","language":["eng"],"person":[{"roleDisplay":"VerfasserIn","display":"Kohnen, Winfried","role":"aut","family":"Kohnen","given":"Winfried"},{"role":"aut","display":"Zhang, Yichao","roleDisplay":"VerfasserIn","given":"Yichao","family":"Zhang"}],"title":[{"title":"On sign changes of Fourier coefficients of modular forms","title_sort":"On sign changes of Fourier coefficients of modular forms"}]} | ||
| SRT | |a KOHNENWINFONSIGNCHAN3120 | ||