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 language | English |
---|---|
Pages (from-to) | 119-134 |
Number of pages | 16 |
Journal | ADVANCES IN THE THEORY OF AUTOMORPHIC FORMS AND THEIR L-FUNCTIONS |
Volume | 664 |
DOIs | |
State | Published - 2016 |
Event | Workshop 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 2013 → 25 Oct 2013 |