Abstract
We prove strong multiplicity one results for Siegel eigenforms of degree two for the symplectic group
Funding source: Science and Engineering Research Board
Award Identifier / Grant number: CRG/2020/004147
Award Identifier / Grant number: ECR/2016/001359
Funding statement: The research of the second and the third authors was partially supported by the DST-SERB grants CRG/2020/004147 and ECR/2016/001359, respectively.
Acknowledgements
We would like to thank Prof. Eknath Ghate, Prof. Ameya Pitale, Dr. Sudhir Pujahari and Dr. Mihir Seth for some useful discussions. A part of the work was carried out when the first author was a postdoctoral fellow at the Tata Institute of Fundamental Research (TIFR), Mumbai. He would like to thank TIFR for the excellent working facilities. We would like to thank the referee for his careful reading and some useful suggestions which improved the presentation of the article.
References
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Articles in the same Issue
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Articles in the same Issue
- Frontmatter
- Indecomposable involutive solutions of the Yang–Baxter equation of multipermutational level 2 with abelian permutation group
- Extrapolation to product Herz spaces and some applications
- The exact number of orthogonal exponentials on the spatial Sierpinski gasket
- A note on special cubic fourfolds of small discriminants
- Strong multiplicity one for Siegel cusp forms of degree two
- Gross–Prasad periods for reducible representations
- LS-category of moment-angle manifolds and higher order Massey products
- Estimates of heat kernels of non-symmetric Lévy processes
- Global continuity of variational solutions weakening the one-sided bounded slope condition
- Finitary birepresentations of finitary bicategories
- Solvability for nonlocal boundary value problems with generalized 𝑝-Laplacian on an unbounded domain
- Conformal Killing forms on 2-step nilpotent Riemannian Lie groups
- Simply transitive NIL-affine actions of solvable Lie groups
- Mahler measure of 3D Landau–Ginzburg potentials