A CONVERSE THEOREM FOR GL(n)
نویسنده
چکیده
We complete the work of Cogdell and Piatetski-Shapiro [3] to prove, for n ≥ 3, a converse theorem for automorphic representations of GLn over a number field, with analytic data from twists by unramified representations of GLn−1.
منابع مشابه
Further Refinements of the Gl(2) Converse Theorem
We improve the results of [BK11] by allowing restricted sets of poles among the unramified twists. This allows for a clean statement of the GL(2) converse theorem which includes all cases of Eisenstein series.
متن کاملVoronoi formulas on GL ( n )
In this paper, we give a new, simple, purely analytic proof of the Voronoi formula for Maass forms on GL(3) first derived by Miller and Schmid. Our method is based on two lemmas of the first author and Thillainatesan which appear in their recent non-adelic proof of the converse theorem on GL(3). Using a different, even simpler method we derive Voronoi formulas on GL(n) twisted by additive chara...
متن کاملA strengthening of the GL(2) converse theorem
We generalize the method of [Bo03] to prove a version of the converse theorem of JacquetLanglands with relaxed conditions on the twists by ramified idèle class characters.
متن کاملA Converse Theorem for Double Dirichlet Series and Shintani Zeta Functions
The main aim of this paper is to obtain a converse theorem for double Dirichlet series and use it to show that the Shintani zeta functions [13] which arise in the theory of prehomogeneous vector spaces are actually linear combinations of Mellin transforms of metaplectic Eisenstein series on GL(2). The converse theorem we prove will apply to a very general family of double Dirichlet series which...
متن کاملExamples of non-quasicommutative semigroups decomposed into unions of groups
Decomposability of an algebraic structure into the union of its sub-structures goes back to G. Scorza's Theorem of 1926 for groups. An analogue of this theorem for rings has been recently studied by A. Lucchini in 2012. On the study of this problem for non-group semigroups, the first attempt is due to Clifford's work of 1961 for the regular semigroups. Since then, N.P. Mukherjee in 1972 studied...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016