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Non-integrality of the periods of cusp forms outside the critical strip

โœ Scribed by N. I. Koblitz


Publisher
Springer US
Year
1979
Tongue
English
Weight
167 KB
Volume
9
Category
Article
ISSN
0016-2663

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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