Endoscopic congruences modulo adjoint \(L\)-values for \(\mathrm{GSp}(4)\)
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Publication:6046569
DOI10.1215/21562261-10428456arXiv1806.02135WikidataQ124980191 ScholiaQ124980191MaRDI QIDQ6046569
Francesco Lemma, Tadashi Ochiai
Publication date: 11 May 2023
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.02135
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Cohomology of arithmetic groups (11F75)
Cites Work
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- Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties
- On a congruence prime criterion for cusp forms on \(\mathrm{GL}_2\) over number fields
- The multiplicity-one theorem for generic automorphic forms of \(\text{GSp}(4)\)
- Serre's modularity conjecture. I
- Serre's modularity conjecture. II
- Tamagawa numbers
- Congruences of cusp forms and special values of their zeta functions
- On congruence divisors of cusp forms as factors of the special values of their zeta functions
- A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
- Coherent cohomology, limits of discrete series, and Galois conjugation
- Mod p Hecke operators and congruences between modular forms
- Yoshida lifts and Selmer groups
- Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\)
- Local newforms for \(\text{GSp}(4)\)
- Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
- Yoshida lifts and the Bloch-Kato conjecture for the convolution \(L\)-function
- Congruence of Siegel modular forms and special values of their standard zeta functions
- Transfer of Siegel cusp forms of degree 2
- On higher regulators of Siegel threefolds II: the connection to the special value
- Special values of adjoint L-functions and congruences for automorphic forms on GL(n) over a number field
- Note sur les opérations de Grothendieck et la réalisation de Betti
- Formes modulaires de poids $1$
- Generic transfer from GSp(4) to GL(4)
- Arithmeticity for periods of automorphic forms
- Symplectic Geometry
- Galois representations modulo p and cohomology of Hilbert modular varieties
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