Hereditary orders, Gauss sums and supercuspidal representations of GLN.
Zeta Functions and Composition Factors for Arithmetic Orders.
New asymptotic formulas for the distribution of left ideals of orders.
Functional equations for Hurwitz series and partial zeta functions of orders.
Local tame lifting for . I: Simple characters
The Prime Ideal Theorem in Non-Commutative Arithmetic.
Zeta Functions of Arithmetic Orders and Solomon's Conjecture.
Functional equations for L-functions of arithmetic orders.
L-functions of arithmetic orders and asymptotic distribution of ideals.
Davenport-Hasse relations and an explicit Langlands correspondence, II : twisting conjectures
Let be a finite field extension. The Langlands correspondence gives a canonical bijection between the set of equivalence classes of irreducible -dimensional representations of the Weil group of and the set of equivalence classes of irreducible supercuspidal representations of GL. This paper is concerned with the case where . In earlier work, the authors constructed an explicit bijection using a non-Galois tame base change map. If this tame base change satisfies a certain conjectured...
The admissible dual of . I
Correspondance de Langlands locale pour et conducteurs de paires
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