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Nonvanishing of AutomorphicL-Functions at the Center of the Critical Strip

โœ Scribed by O. M. Fomenko


Book ID
110337210
Publisher
Springer US
Year
2002
Tongue
English
Weight
279 KB
Volume
110
Category
Article
ISSN
1573-8795

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Nonvanishing of HeckeL-Functions Associa
โœ Winfried Kohnen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 274 KB

Let f be a non-zero cuspidal Hecke eigenform of integral weight k on the full modular group SL 2 (Z) and denote by L\*( f, s) (s # C) the associated Hecke L-function completed with its natural 1-factor. As is well-known, zeroes of L\*( f, s) can occur only inside the critical strip (k&1)ร‚2< Re(s)<(k