Multiplikatorsysteme und Charaktere Hermitescher Modulgruppen.
Near holomorphy of some automorphic forms at critical points.
Non-abelian -adic -functions and Eisenstein series of unitary groups – The CM method
In this work we prove various cases of the so-called “torsion congruences” between abelian -adic -functions that are related to automorphic representations of definite unitary groups. These congruences play a central role in the non-commutative Iwasawa theory as it became clear in the works of Kakde, Ritter and Weiss on the non-abelian Main Conjecture for the Tate motive. We tackle these congruences for a general definite unitary group of variables and we obtain more explicit results in the...
On cubic symplectic metaplectic forms.
On explicit lifts of cusp forms from to classical groups.
On local Whittaker models for the Jacobi group of degree one.
On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3
On the asypmtotic formula of Kuznetsov and existence of generic cusp forms.
On the biquadratic theta series.
On the determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)
On the infinite fern of Galois representations of unitary type
Let be a CM number field, an odd prime totally split in , and let be the -adic analytic space parameterizing the isomorphism classes of -dimensional semisimple -adic representations of satisfying a selfduality condition “of type ”. We study an analogue of the infinite fern of Gouvêa-Mazur in this context and show that each irreducible component of the Zariski-closure of the modular points in has dimension at least . As important steps, and in any rank, we prove that any first order...
On the Shimura correspondence for GSp(4).
On unitary representations of Jacobi groups.
-adic Differential Operators on Automorphic Forms on Unitary Groups
The goal of this paper is to study certain -adic differential operators on automorphic forms on . These operators are a generalization to the higher-dimensional, vector-valued situation of the -adic differential operators constructed for Hilbert modular forms by N. Katz. They are a generalization to the -adic case of the -differential operators first studied by H. Maass and later studied extensively by M. Harris and G. Shimura. The operators should be useful in the construction of certain -adic...
p-adic periods and modular symbols of elliptic curves of prime conductor.
Paramodulare Gruppen
Poincarésche Reihen zur hermitischen Modulgruppe.
Product formulas for modular forms on
Ramanujan duals II.
Rankin-Selberg convolutions of generalized theta series.