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In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL₂([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the spec…
In this memoir, we lay the foundations for the study of inner product formulae, one of the key technical preliminaries in the derivation of the Selberg trace formula.
The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with…