Stability of symmetric cube gamma factors for GL(2)
We give a new proof of the stability of the symmetric cube gamma factor as defined by the Langlands-Shahidi method.
math.NT↗
arXiv subjects
Daniel Shankman
Publications and source records attributed to Daniel Shankman.
Local Langlands correspondence for Asai L-functions and epsilon factors
Let E/F be a quadratic extension of p-adic fields. The local Langlands correspondence establishes a bijection between n-dimensional Frobenius semisimple representations of the Weil-Deligne group of E and smooth, irreducible representations of GL(n,E). We reinterpret this bijection in the setting of the Weil restriction of scalars Res(GL(n),E/F), and show that the Asai L-function and epsilon factor on the analytic side match up with the expected Artin L-function and epsilon factor on the Galois side. This paper is based off of the author's forthcoming doctoral thesis.
math.NT↗