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Nonvanishing of central Hecke L-values and rank of certain elliptic curves

โœ Scribed by Tonghai Yang


Book ID
111523980
Publisher
Cambridge University Press
Year
1999
Tongue
English
Weight
155 KB
Volume
117
Category
Article
ISSN
0010-437X

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A formula for the central value of certa
โœ Ariel Pacetti ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 471 KB

Let N โ‰ก 1 mod 4 be the negative of a prime, K = Q( โˆš N) and O K its ring of integers. Let D be a prime ideal in O K of prime norm congruent to 3 mod 4. Under these assumptions, there exists Hecke characters D of K with conductor (D) and infinite type (1, 0). Their Lseries L( D , s) are associated to