1.

Record Nr.

UNINA9910956223803321

Autore

Hatada Kazuyuki

Titolo

Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms

Pubbl/distr/stampa

Providence : , : American Mathematical Society, , 2021

©2020

ISBN

9781470463434

1470463431

Edizione

[1st ed.]

Descrizione fisica

1 online resource (177 pages)

Collana

Memoirs of the American Mathematical Society ; ; v.268

Classificazione

11F4611F6011F3211F1111G2514G2214F3014F2011F70

Disciplina

512.7

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa



Livello bibliografico

Monografia

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.

2.

Record Nr.

UNINA9910917177903321

Autore

Bähr HermannAltamimi, ZuheirHeck, Bernhard

Titolo

Variance Component Estimation for Combination of Terrestrial Reference Frames

Pubbl/distr/stampa

KIT Scientific Publishing, 2007

ISBN

1000007363

Descrizione fisica

1 online resource (IX, 69 p. p.)

Collana

Schriftenreihe des Studiengangs Geodäsie und Geoinformatik / Universität Karlsruhe (TH), Studiengang Geodäsie und Geoinformatik

Soggetti

Physics

Lingua di pubblicazione

Tedesco

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

Combining Terrestrial Reference Frames (TRFs) to frames of superior quality (like the ITRF) usually involves homogenisation by an empirical weighting scheme. Different approaches on variance component estimation have been evaluated for this purpose. The statistically rigorous Helmert estimator has been compared with two other methods: the degree of freedom method and a simplified, approximate estimator. Tests have been performed, covering two elementary types of combinations.