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Nonvanishing of HeckeL-functions and the Bloch–Kato conjecture

✍ Scribed by Byoung Du Kim; Riad Masri; Tong Hai Yang

Publisher
Springer
Year
2010
Tongue
English
Weight
439 KB
Volume
349
Category
Article
ISSN
0025-5831

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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)Â2< Re(s)<(k

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