Siegel modular forms and representations
By M. Asgari, Ralf Schmidt. 2001
127 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5e06ec64e5f7acd30bfe84a0d30aaf8f5ccc6eb3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Cohomology of local systems on the moduli of principally polarized abelian surfaces (2013, background): “See [Asgari and Schmidt 2001] for more details.”
- On the arithmetic of Shalika models and the critical values of L-functions for GL2n (2011, background): “Πσ−1v ⊗ (Πf ⊗C,σ−1 C) is also cohomological and cuspidal for all σ ∈Aut(C); see Clozel [11].”
- The Saito-Kurokawa lifting and functoriality (2005, background): “Therefore Π corresponds to a classical Siegel modular form F of weight k and degree 2 for the full modular group Sp(4,Z) (see [2]).”
- On classical Saito-Kurokawa liftings (2007, methodology): “It is these representations which appear as archimedean components of automorphic representations corresponding to holomorphic Siegel modular forms of weight k, see [ AS ].”
- Local spectral equidistribution for Siegel modular forms and applications (2010, unknown): “p (1− app)(1− bpp)(1− a−1 p p−s)−1(1− b−1 p p−s)−1 ; it is explained in [2] that this is a Langlands L-function associated with the Spin representation Spin(5,C) → GL(4,C).”
- Transfer of Siegel Cusp Forms of Degree 2 (2011, background): “It is well known that every such π gives rise to a holomorphic cuspidal Siegel eigenform of degree 2 and weight l with respect to the full modular group Sp4(Z); see [2].”