An explicit lifting construction of CAP forms on O(1,5)
From MaRDI portal
Publication:6107935
DOI10.1142/s1793042123500653zbMath1528.11027arXiv2203.04853OpenAlexW4226377985MaRDI QIDQ6107935
Siddhesh Wagh, Ameya Pitale, Hiro-aki Narita
Publication date: 28 June 2023
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.04853
Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The local Langlands conjecture for \(\text{GSp}(4)\)
- On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups
- On the Saito-Kurokawa lifting
- Automorphic forms with singularities on Grassmannians
- \(L\)-functions and Fourier-Jacobi coefficients for the unitary group \(U(3)\)
- On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
- Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- Even lattices with covering radius \(< \sqrt{2}\)
- Factorization of the local exterior square \(L\)-function of \(\mathrm{GL}_m\)
- An explicit construction of non-tempered cusp forms on \(\mathrm{O}(1,8n+1)\)
- Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\)
- On the classification of automorphic products and generalized Kac-Moody algebras
- On CAP representations for even orthogonal groups. I: A correspondence of unramified representations
- Automorphe Funktionen von mehreren Veränderlichen und Dirichletsche Reihen. (Automorphic functions of several variables and Dirichlet series)
- Cusp forms on the exceptional group of type
- LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS
- The CAP representations of GSp (4,).
- Theta Correspondence Associated to G 2
- On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms
- On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms
- Lifting newforms to vector-valued modular forms for the Weil representation
- On the lifting of hermitian modular forms
- On a Relation Between ~ SL 2 Cusp Forms and Cusp Forms on Tube Domains Associated to Orthogonal Groups
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- Irreducibility criteria for local and global representations
- Unitary dual ofGL(n) at archimedean places and global Jacquet–Langlands correspondence
- Quaternion Algebras
- On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)
This page was built for publication: An explicit lifting construction of CAP forms on O(1,5)