A relation between multiplicity one and Böcherer's conjecture

DOI10.1007/s11139-013-9489-8zbMath1300.11044arXiv1208.2926OpenAlexW2163079444WikidataQ123165139 ScholiaQ123165139MaRDI QIDQ744830

Abhishek Saha

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2926

zbMATH Keywords

\(L\)-functionsautomorphic formsFourier coefficientsspecial valuesSiegel modular formsmultiplicity oneBöcherer's conjecture

Mathematics Subject Classification ID

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) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two ⋮ A proof of the refined Gan-Gross-Prasad conjecture for non-endoscopic Yoshida lifts ⋮ Transfer of Siegel cusp forms of degree 2 ⋮ A note on arithmetic behavior of Hecke eigenvalues of Siegel cusp forms of degree two

Cites Work

• Some examples of automorphic forms on Sp4
• On the Saito-Kurokawa lifting
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients
• A remark on the failure of multiplicity one for \(\mathrm{GSp}(4)\)
• Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L -functions
• Transfer of Siegel cusp forms of degree 2
• On central critical values of the degree four <i>L</i>-functions for GSp (4): the fundamental lemma, II
• On central critical values of the degree four 𝐿-functions for GSp(4): the fundamental lemma
• Irreducibility criteria for local and global representations
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Bessel models for GSp(4)
• Local spectral equidistribution for Siegel modular forms and applications
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