The special values of the standard ๐ฟ-functions for ๐บ๐๐_{2๐}ร๐บ๐ฟโ
From MaRDI portal
Publication:5039048
DOI10.1090/tran/8617OpenAlexW4200393398MaRDI QIDQ5039048
Ralf Schmidt, Abhishek Saha, Ameya Pitale, Shuji Horinaga
Publication date: 12 October 2022
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.03100
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) 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
- Poles and residues of standard L-functions attached to Siegel modular forms
- Lowest weight modules of \(\mathrm{Sp}_4 (\mathbb{R})\) and nearly holomorphic Siegel modular forms
- The critical values of zeta functions associated to the symplectic group
- L-indistinguishability and R groups for the special linear group
- On some arithmetic properties of modular forms of one and several variables
- On the periods of modular forms
- A vanishing theorem for automorphic forms of Siegel's modular group
- Coherent cohomology, limits of discrete series, and Galois conjugation
- \(p\)-adic measures attached to Siegel modular forms
- On special values of standard \(L\)-functions attached to vector valued Siegel modular forms.
- A note on the growth of nearly holomorphic vector-valued Siegel modular forms
- On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\)
- The doubling Archimedean zeta integrals for \(p\)-adic interpolation
- Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series
- Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\)
- On ratios of Petersson norms for Yoshida lifts
- Invariant differential operators on Hermitian symmetric spaces
- CASIMIR OPERATORS FOR SYMPLECTIC GROUPS
- -ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS
- รber Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
- Special values of zeta functions attached to Siegel modular forms
- The special values of the zeta functions associated with cusp forms
- On Special L-Values Attached to Siegel Modular Forms
- Siegel modular forms and representations