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Behavior of the L-functions of cusp forms ats=1

✍ Scribed by E. P. Golubeva; O. M. Fomenko


Publisher
Springer US
Year
1996
Tongue
English
Weight
508 KB
Volume
79
Category
Article
ISSN
1573-8795

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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)Γ‚2< Re(s)<(k