Whittaker rational structures and special values of the Asai L-function

Harald Grobner, Michael Harris, Erez Lapid

Research output: Contribution to journalMeeting Abstractpeer-review

Abstract

Let F be a totally real number field and E/F a totally imaginary quadratic extension of F. Let II be a cohomological, conjugate self-dual cuspidal automorphic representation of GL(n)(AE). Under a certain non-vanishing condition we relate the residue and the value of the Asai L-functions at s = 1 with rational structures obtained from the cohomologies in top and bottom degrees via the Whittaker coefficient map. This generalizes a result in Eric Urban's thesis when n = 2, as well as a result of the first two named authors, both in the case F = Q.
Original languageEnglish
Pages (from-to)119-134
Number of pages16
JournalADVANCES IN THE THEORY OF AUTOMORPHIC FORMS AND THEIR L-FUNCTIONS
Volume664
DOIs
StatePublished - 2016
EventWorkshop on Advances in the Theory of Automorphic Forms and their L-functions in honor of James Cogdell's 60th Birthday - Univ Vienna, Erwin Schrodinger Inst, Vienna, AUSTRIA
Duration: 16 Oct 201325 Oct 2013

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