Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms

• Autore: Hatada Kazuyuki
• Pubblicazione: Providence : , : American Mathematical Society, , 2021; ©2020
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (177 pages)
• Disciplina: 512.7
• Soggetto topico: Cusp forms (Mathematics); Hecke operators; Eigenvalues; Siegel domains; Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Siegel modular groups; Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Hecke-Petersson operato; Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Modular correspondences; Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Holomorphic modular for; Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20]; Algebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Rigid analytic geometry; Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- $p$-adic cohomology, crystalline cohomology; Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Étale and other Grothendieck topologies and (co)homologies; Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Representation-theoreti
• Classificazione: 11F4611F6011F3211F1111G2514G2214F3014F2011F70
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Action of double cosets -- Satake's isomorphisms and Hecke operators -- Estimates for all the eigenvalues of Hecke operators on Siegel cusp forms -- The generalized Ramanujan conjecture in Siegel modular case -- p-Parameters of Siegel cusp eigenforms -- Some applications -- Langlands' L-parameters.
• Titolo autorizzato: Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms
• ISBN: 9781470463434; 1470463431
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910956223803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society