Výsledky vyhledávání - General theory of automorphic functions of several complex variables~

On Siegel’s product formulas for quadratic forms over algebraic number fields in higher dimensional cases: On Siegel's product formulas for quadratic forms over algebraic number fields in higher dimensional cases

Autoři: Kojima, Hisashi Sakata, Hiroshi

Zdroj: The Journal of Analysis. 33:619-646

Témata: Analysis on other specific Lie groups, Quadratic forms over global rings and fields, theta series, Analytic theory (Epstein zeta functions, relations with automorphic forms and functions), Automorphic functions in symmetric domains, Theta series, Weil representation, theta correspondences, Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, General theory of automorphic functions of several complex variables, automorphic forms, Siegel main theorem, analytic theory of quadratic forms, quadratic forms, Automorphic forms in several complex variables

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035913
https://doi.org/10.1007/s41478-024-00850-0

On the Fourier coefficients of modular forms of several variables

Autoři: Shimura, Goro

Zdroj: Collected Papers ISBN: 9781461274056

Témata: Theta series, Weil representation, theta correspondences, General theory of automorphic functions of several complex variables

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3519119

A Morera type theorem forL 2 functions in the Heisenberg group: A Morera type theorem for \(L^ 2\) functions in the Heisenberg group

Autoři: Der-Chen Chang Mark Agranovsky Daniel Pascuas a další

Zdroj: Journal d’Analyse Mathématique. 57:282-296

Témata: CR structures, CR operators, and generalizations, Morera type theorem, General theory of automorphic functions of several complex variables, 0101 mathematics, Heisenberg group, 01 natural sciences, \(CR\) functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/221312
https://doi.org/10.1007/bf03041073
https://link.springer.com/article/10.1007%2FBF03041073

Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description: Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description.

Autoři: Vladimir V. Ežov Gerd Schmalz Schmalz, Gerd

Přispěvatelé: Vladimir V. Ežov Gerd Schmalz Schmalz, Gerd

Zdroj: The Journal of Geometric Analysis. 11:441-467

Témata: automorphisms of quadrics, Siegel domains of second kind, General theory of automorphic functions of several complex variables, 0101 mathematics, Analysis on CR manifolds, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF02922014
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3125210
https://hdl.handle.net/1959.8/41642

LOWER BOUNDS FOR L-FUNCTIONS AT THE EDGE OF THE CRITICAL STRIP.

Autoři: Gelbart, Stephen S. Lapid, Erez M.

Zdroj: American Journal of Mathematics; Jun2006, Vol. 128 Issue 3, p619-638, 20p

Témata: NUMBER theory, L-functions, AUTOMORPHIC functions, FUNCTIONS of several complex variables, EISENSTEIN series, AUTOMORPHIC forms

THE ARCHIMEDEAN THEORY OF THE EXTERIOR SQUARE L-FUNCTIONS OVER ℚ.

Autoři: Miller, Stephen D. Schmid, Wilfred

Zdroj: Journal of the American Mathematical Society; Apr2012, Vol. 25 Issue 2, p465-506, 42p

Témata: ARCHIMEDES' principle, L-functions, NUMBER theory, AUTOMORPHIC functions, FUNCTIONS of several complex variables

Note on Automorphic Functions of Several Variables: Note on automorphic functions of several variables

Autoři: Carl Ludwig Siegel

Zdroj: The Annals of Mathematics. 43:613

Témata: Modular and automorphic functions, General theory of automorphic functions of several complex variables, modular functions, automorphic functions, almost periodic functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3107221
https://doi.org/10.2307/1968953
https://zbmath.org/3224738
https://doi.org/10.2307/1968953
http://www.jstor.org/stable/1968953?origin=crossref

Liftings and mean value theorems for automorphic L-functions.

Autoři: Kohji Matsumoto

Zdroj: Proceedings of the London Mathematical Society; Mar2005, Vol. 90 Issue 2, p297-320, 24p

Témata: DIRICHLET series, AUTOMORPHIC functions, FUNCTIONS of several complex variables, SIEGEL domains, MODULAR forms, MATHEMATICAL forms

Reflection Operator and Canonical Basis.

Autoři: Vinogradov, A. I.

Zdroj: Journal of Mathematical Sciences; Jan2005, Vol. 125 Issue 2, p159-172, 14p

Témata: AUTOMORPHIC functions, FUNCTIONS of several complex variables, HILBERT space, BANACH spaces, HYPERSPACE, SPECTRAL theory, MATHEMATICS

Composition theorems of \(S^p\) -weighted pseudo almost automorphic functions and applications

Autoři: Tang, Chaohong Li, Hongxu

Témata: Almost and pseudo-almost periodic solutions to ordinary differential equations, Composition theorem, semilinear differential equation, General theory of automorphic functions of several complex variables, \(S^p\) -weighted pseudo almost automorphic

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/6611874

On the Kodaira dimension of the moduli space of abelian varieties

Autoři: Tai, Yung-sheng

Zdroj: Inventiones Mathematicae. 68:425-439

Témata: extension of pluri-canonical differential forms, Kodaira dimension, Other groups and their modular and automorphic forms (several variables), General theory of automorphic functions of several complex variables, 01 natural sciences, Article, 510.mathematics, moduli space of principally polarized abelian varieties, Algebraic moduli problems, moduli of vector bundles, toroidal compactifications, moduli space of general type, Families, moduli, classification: algebraic theory, 0101 mathematics, Algebraic theory of abelian varieties

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Přístupová URL adresa: https://zbmath.org/3801719
https://doi.org/10.1007/bf01389411
https://link.springer.com/article/10.1007%2FBF01389411
https://link.springer.com/10.1007/BF01389411
http://ui.adsabs.harvard.edu/abs/1982InMat..68..425T/abstract
https://eudml.org/doc/142939

Multiplier systems for Hilbert's and Siegel's modular groups

Autoři: Karl-Bernhard Gundlach

Zdroj: Glasgow Mathematical Journal. 27:57-80

Témata: factors of automorphy, subgroups of finite index, Theta series, Weil representation, theta correspondences, Automorphic forms on \(\mbox{GL}(2)\), Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms, Hilbert modular surfaces, multiplier systems, General theory of automorphic functions of several complex variables, weights, 0101 mathematics, 01 natural sciences, Hilbert modular group, Siegel modular group

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6499C4246B37B9F8DCEB1FD5C3243CA0/S0017089500006078a.pdf/div-class-title-multiplier-systems-for-hilbert-s-and-siegel-s-modular-groups-div.pdf
https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/multiplier-systems-for-hilberts-and-siegels-modular-groups/6499C4246B37B9F8DCEB1FD5C3243CA0
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0017089500006078
http://www.journals.cambridge.org/abstract_S0017089500006078

A property of new coordinates defining augmented Schottky spaces

Autoři: Sato, Hiroki

Zdroj: Nagoya Math. J. 88 (1982), 73-78

Témata: Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), augmented Schottky spaces, 32G15, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Boundary behavior of holomorphic functions of several complex variables, General theory of automorphic functions of several complex variables, 0101 mathematics, boundary point, 01 natural sciences, 30F40, Schottky space of Riemann surfaces of genus g

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1186139BD0A621E4CDDDAC8F52BFEAD3/S0027763000020109a.pdf/div-class-title-a-property-of-new-coordinates-defining-augmented-schottky-spaces-div.pdf
https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/property-of-new-coordinates-defining-augmented-schottky-spaces/1186139BD0A621E4CDDDAC8F52BFEAD3
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1186139BD0A621E4CDDDAC8F52BFEAD3/S0027763000020109a.pdf/div-class-title-a-property-of-new-coordinates-defining-augmented-schottky-spaces-div.pdf
https://projecteuclid.org/download/pdf_1/euclid.nmj/1118787005
https://projecteuclid.org/euclid.nmj/1118787005
http://projecteuclid.org/euclid.nmj/1118787005

Beispiele dreidimensionaler Hilbertscher Modulmannigfaltigkeiten von allgemeinem Typ

Autoři: Knöller, Friedrich Wilhelm

Zdroj: Manuscripta Mathematica. 37:135-161

Témata: totally real number field, Local complex singularities, 4. Education, Automorphic forms on \(\mbox{GL}(2)\), Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms, Hilbert modular surfaces, Moduli, classification: analytic theory, relations with modular forms, General theory of automorphic functions of several complex variables, 16. Peace & justice, 01 natural sciences, Article, 510.mathematics, surface of general type, defect of singularities, nonrationality of field of meromorphic functions, 0103 physical sciences, cusp, \(3\)-folds, 0101 mathematics, Hilbert modular varieties, Singularities of surfaces or higher-dimensional varieties, Global ground fields in algebraic geometry

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://eudml.org/doc/154834
https://link.springer.com/article/10.1007/BF01168507

Finiteness of a cohomology associated with certain Jackson integrals

Autoři: Aomoto, Kazuhiko

Zdroj: Tohoku Math. J. (2) 43, no. 1 (1991), 75-101

Témata: Jackson integrals, Almost homogeneous manifolds and spaces, 33D80, 11F67, 32G20, General theory of automorphic functions of several complex variables, \(q\)-analogue, \(b\)-functions, 32S40, Theta functions and abelian varieties, Elliptic curves, difference system, Basic hypergeometric integrals and functions defined by them, 32N05

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://www.jstage.jst.go.jp/article/tmj1949/43/1/43_1_75/_article
https://projecteuclid.org/download/pdf_1/euclid.tmj/1178227537
https://www.projecteuclid.org/journals/tohoku-mathematical-journal/volume-43/issue-1/Finiteness-of-a-cohomology-associated-with-certain-Jackson-integrals/10.2748/tmj/1178227537.full
http://ci.nii.ac.jp/naid/110000026571
http://projecteuclid.org/euclid.tmj/1178227537

Holomorphic sections of line bundles over (H,C)-groups

Autoři: Abe, Yukatika

Zdroj: Manuscripta Mathematica. 60:379-385

Témata: Analysis on real and complex Lie groups, 510.mathematics, holomorphic sections of line bundles, toroidal group, Sheaves and cohomology of sections of holomorphic vector bundles, general results, General theory of automorphic functions of several complex variables, 0101 mathematics, Complex Lie groups, group actions on complex spaces, quasi-abelian manifold, 01 natural sciences, Article

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://zbmath.org/4040304
https://doi.org/10.1007/bf01169345
https://link.springer.com/article/10.1007/BF01169345
https://link.springer.com/content/pdf/10.1007/BF01169345.pdf
https://eudml.org/doc/155286

Zur Begründung der Theorie der automorphen Funktionen in mehreren Variablen

Autoři: EICHLER, M.

Zdroj: Aequationes Mathematicae. 3:93-111

Témata: Modular and automorphic functions, 510.mathematics, automorphic functions in several variables, Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, General theory of automorphic functions of several complex variables, Article, Siegel modular forms

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://zbmath.org/3287092
https://doi.org/10.1007/bf01817503
https://eudml.org/doc/136002
https://link.springer.com/article/10.1007/BF01833510

Automorphe Abbildungen zu pseudokonkaven Gruppen

Autoři: Wolfart, Jürgen

Zdroj: Mathematische Annalen. 203:261-281

Témata: 510.mathematics, 0103 physical sciences, General theory of automorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, Article, Automorphic forms in several complex variables

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF01351907

Sphere Fibration Induced By Uniformtzation of Modular Group: Sphere fibration induced by uniformization of modular group

Autoři: Harvey Cohn

Zdroj: Journal of the London Mathematical Society. :10-20

Témata: Automorphic forms on \(\mbox{GL}(2)\), Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms, Hilbert modular surfaces, General theory of automorphic functions of several complex variables, sphere fibration, uniformization, Hilbert modular group

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3263423
https://doi.org/10.1112/jlms/s1-43.1.10
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s1-43.1.10

Some explicit resolutions of modular cusp singularities

Autoři: Cohn, Harvey

Zdroj: Mathematische Annalen. 198:123-130

Témata: 510.mathematics, Removable singularities in several complex variables, General theory of automorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, Article

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://eudml.org/doc/162297
https://link.springer.com/content/pdf/10.1007/BF01432282.pdf
https://link.springer.com/article/10.1007/BF01432282