28 citations · 147 across the 67 of their papers we have counts for
4 papers · 1 filter
Invariants, cohomology, and automorphic forms of higher order
Anton Deitmar
A general structure theorem on higher order invariants is proven. For an arithmetic group, the structure of the corresponding Hecke module is determined. It is shown that the modul…
A new multiple Dirichlet series induced by a higher order form
Anton Deitmar, Nikolaos Diamantis
A multiple Dirichlet series in two variables is constructed as a Mellin transform of a higher order Eisenstein series. It is shown to extend to a meromorphic function and satisfy t…
Higher order cohomology of arithmetic groups
Anton Deitmar
Higher order cohomology of arithmetic groups is expressed in terms of (g,K)-cohomology. Generalizing results of Borel, it is shown that the latter can be computed using functions o…
Automorphic forms of higher order
Anton Deitmar, Nikolaos Diamantis
In this paper a theory of Hecke operators for higher order modular forms is established. The definition of cusp forms and attached L-functions is extended beyond the realm of parab…