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1 results

  • The Exterior Cube L-Function for GL(6)

  • David Ginzburg, Stephen Rallis
  • Journal:
    Compositio Mathematica / Volume 123 / Issue 3 / September 2000
    Published online by Cambridge University Press:
    04 December 2007, pp. 243-272
    Print publication:
    September 2000
    • Article
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  • We construct a Rankin Selberg integral to represent the exterior cube L function L(π,Λ3,s) of an automorphic cuspidal module π of GL6(${\Bbb A}$F) (where F is a number field). We determine the poles of this L function and find period conditions for the special value L(π,Λ3,1/2). We use the Siegal Weil formula. We also state an analogue of the Gross–Prasad conjecture concerning a criterion for the nonvanishing of L(π,Λ3,1/2).