Arithmeticity of certain symplectic hypergeometric groups
By Sandip Singh, Tyakal N.Venkataramana. 2012
65 citations recorded by the source corpus.
We give a sufficient condition on a pair of (primitive) integral polynomials that the associated hypergeometric group (monodromy group of the corresponding hypergeometric differential equation) is an arithmetic subgroup of the integral symplectic group.
Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bcee533f46d18cd407d9a00b1e4066ed62d20282
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In Geometry and Topology
- Peter Sarnak
- Alex Kontorovich
- Gergely Harcos
- Hugh Thomas
- Christopher Brav
- Kannan Soundararajan
- A. Reznikov
- Nicolas Templier
In Mathematical Physics
- Peter Sarnak
- V. Blomer
- Gergely Harcos
- Alex Kontorovich
- P. Michel
- Nicolas Templier
- Kannan Soundararajan
- Jean Bourgain
In Statistical and Nonlinear Physics
Citations in the corpus
- Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions (2013, background): “[S-V] many more examples with G = Sp(n) and for which H(α, β) is arithmetic are given.”
- Notes on Thin Matrix Groups (2012, methodology): “5 Using extensions of the technique in [Venkataramana 2012] it is shown in [Singh and Venkataramana 2012] that of these, 63 are arithmetic.”