Special Values of Anticyclotomic L-functions

  title={Special Values of Anticyclotomic L-functions},
  author={V. VATSAL},
  • Published 1985
The purpose of the paper is to extend and refine earlier results of the author on nonvanishing of the L-functions associated to modular forms in the anticyclotomic tower of conductor p over an imaginary quadratic field. While the author’s previous work proved that such L-functions are generically nonzero at the center of the critical strip, provided that the sign in the functional equation is +1, the present work includes the case where the sign is −1. In that case, it is shown that the… CONTINUE READING
Highly Cited
This paper has 57 citations. REVIEW CITATIONS