Nonvanishing of central Hecke L-values and rank of certain elliptic curves
dc.contributor.author | Yang, Tonghai | en_US |
dc.date.accessioned | 2006-09-08T20:31:04Z | |
dc.date.available | 2006-09-08T20:31:04Z | |
dc.date.issued | 1999-07 | en_US |
dc.identifier.citation | Yang, Tonghai; (1999). "Nonvanishing of central Hecke L-values and rank of certain elliptic curves." Compositio Mathematica 117(3): 337-359. <http://hdl.handle.net/2027.42/42601> | en_US |
dc.identifier.issn | 0010-437X | en_US |
dc.identifier.issn | 1570-5846 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42601 | |
dc.description.abstract | Let D≡ 7 mod 8 be a positive squarefree integer, and let h D be the ideal class number of E D = . Let d≡1 mod 4 be a squarefree integer relatively prime to D. Then for any integer k≥0 there is a constant M=M(k), independent of the pair (D,D), such that if (−1) k =sign (d), (2k+1,h D )=1, and >(12/π)d 2 (log∣d+M(k)), then the central L-value L(k+1, χ D, d 2k+1 >0. Furthermore, for k≤1, we can take M(k)=0. Finally, if D=p is a prime, and d>0, then the associated elliptic curve A(p) d has Mordell–Weil rank 0 (over its definition field) when >(12/π)d 2 log d. | en_US |
dc.format.extent | 158815 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers; Springer Science+Business Media | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Mathematics, General | en_US |
dc.subject.other | Central Hecke L-value | en_US |
dc.subject.other | Elliptic Curves | en_US |
dc.subject.other | Eigenfunction | en_US |
dc.subject.other | Nonvanishing. | en_US |
dc.title | Nonvanishing of central Hecke L-values and rank of certain elliptic curves | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, U.S.A. e-mail | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42601/1/10599_2004_Article_164505.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1000934108242 | en_US |
dc.identifier.source | Compositio Mathematica | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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