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Arthur's invariant trace formula and comparison of inner forms / Yuval Z. Flicker
| Arthur's invariant trace formula and comparison of inner forms / Yuval Z. Flicker |
| Autore | Flicker, Yuval Z. |
| Pubbl/distr/stampa | [Basel], : Birkhäuser, : Springer, 2016 |
| Descrizione fisica | XI, 567 p. : ill. ; 24 cm |
| Soggetto topico |
11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020]
11F41 - Automorphic forms on $\mbox{GL}(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [MSC 2020] 11F72 - Spectral theory; trace formulas (e.g., that of Selberg) [MSC 2020] 22E55 - Representations of Lie and linear algebraic groups over global fields and adèle rings [MSC 2020] 11M36 - Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) [MSC 2020] 22E57 - Geometric Langlands program: representation-theoretic aspects [MSC 2020] |
| Soggetto non controllato |
Arthur's Invariant Trace Formula
Automorphic representations Eisenstein Series Invariant Distributions Matrix theory Normalizing Factors Orbital Integrals Reductive Groups Representation Theory |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114453 |
Flicker, Yuval Z.
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| [Basel], : Birkhäuser, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Arthur's invariant trace formula and comparison of inner forms / Yuval Z. Flicker
| Arthur's invariant trace formula and comparison of inner forms / Yuval Z. Flicker |
| Autore | Flicker, Yuval Z. |
| Pubbl/distr/stampa | [Basel], : Birkhäuser, : Springer, 2016 |
| Descrizione fisica | XI, 567 p. : ill. ; 24 cm |
| Soggetto topico |
11F41 - Automorphic forms on $\mbox{GL}(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [MSC 2020]
11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020] 11F72 - Spectral theory; trace formulas (e.g., that of Selberg) [MSC 2020] 11M36 - Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) [MSC 2020] 22E55 - Representations of Lie and linear algebraic groups over global fields and adèle rings [MSC 2020] 22E57 - Geometric Langlands program: representation-theoretic aspects [MSC 2020] |
| Soggetto non controllato |
Arthur's Invariant Trace Formula
Automorphic Representations Eisenstein Series Invariant Distributions Matrix theory Normalizing Factors Orbital Integrals Reductive Groups Representation Theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114453 |
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Flicker, Yuval Z.
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| [Basel], : Birkhäuser, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Families of Automorphic Forms / Roelof W. Bruggeman
| Families of Automorphic Forms / Roelof W. Bruggeman |
| Autore | Bruggeman, Roelof W. |
| Pubbl/distr/stampa | Basel, : Birkhäuser, : Springer, 1994 |
| Descrizione fisica | x, 317 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11F12 - Automorphic forms, one variable [MSC 2020] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020] 11F72 - Spectral theory; trace formulas (e.g., that of Selberg) [MSC 2020] |
| Soggetto non controllato |
Analytic Automorphic Forms
Automorphic Forms Discrete cofinite subgroups Eigenvalues Eisenstein Series Functions Modular groupS Multiplier systems Operators Poincare series Singularities Spectral theory Transformations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00292079 |
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Bruggeman, Roelof W.
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| Basel, : Birkhäuser, : Springer, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Groups Acting on Hyperbolic Space : Harmonic Analysis and Number Theory / Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
| Groups Acting on Hyperbolic Space : Harmonic Analysis and Number Theory / Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke |
| Autore | Elstrodt, Jürgen |
| Pubbl/distr/stampa | Berlin ; Heidelberg, : Springer, 1998 |
| Descrizione fisica | xv, 524 p. ; 24 cm |
| Altri autori (Persone) |
Grunewald, Fritz J.
Mennicke, Jens L. |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11E39 - Bilinear and Hermitian forms [MSC 2020] 11F03 - Modular and automorphic functions [MSC 2020] 11F72 - Spectral theory; trace formulas (e.g., that of Selberg) [MSC 2020] 11H55 - Quadratic forms (reduction theory, extreme forms, etc.) [MSC 2020] 11M36 - Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) [MSC 2020] 30F35 - Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) [MSC 2020] 35P25 - Scattering theory for PDEs [MSC 2020] 58J50 - Spectral problems; spectral geometry; scattering theory on manifolds [MSC 2020] |
| Soggetto non controllato |
Calculus
Discontinuous groups Eisenstein Series Harmonic analysis Hermitian forms Hyperbolic spaces Number theory Trace Formula |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00298255 |
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Elstrodt, Jürgen
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| Berlin ; Heidelberg, : Springer, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras
| Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras |
| Autore | Terras, Audrey |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XV, 487 p. : ill. ; 24 cm |
| Soggetto topico |
43A85 - Analysis on homogeneous spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [MSC 2020] 11F30 - Fourier coefficients of automorphic forms [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 11F60 - Hecke-Petersson operators, differential operators (several variables) [MSC 2020] |
| Soggetto non controllato |
Automorphic forms
Combinatorics Eisenstein Series Harish-Chandra c-function Harmonic analysis Helgason-Fourier transform Modular group Poisson summation formula Polar and Iwasawa coordinates Selberg trace formula Symmetric spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114834 |
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Terras, Audrey
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| New York, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras
| Harmonic analysis on symmetric spaces—higher rank spaces, positive definite matrix space and generalizations / Audrey Terras |
| Autore | Terras, Audrey |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2016 |
| Descrizione fisica | XV, 487 p. : ill. ; 24 cm |
| Soggetto topico |
11F30 - Fourier coefficients of automorphic forms [MSC 2020]
11F60 - Hecke-Petersson operators, differential operators (several variables) [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [MSC 2020] 22E30 - Analysis on real and complex Lie groups [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 43-XX - Abstract harmonic analysis [MSC 2020] 43A85 - Analysis on homogeneous spaces [MSC 2020] |
| Soggetto non controllato |
Automorphic Forms
Combinatorics Eisenstein Series Harish-Chandra c-function Harmonic analysis Helgason-Fourier transform Modular group Poisson summation formula Polar and Iwasawa coordinates Selberg trace formula Symmetric spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114834 |
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Terras, Audrey
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| New York, : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Hilbert Modular Forms / Eberhard Freitag
| Hilbert Modular Forms / Eberhard Freitag |
| Autore | Freitag, Eberhard |
| Pubbl/distr/stampa | Berlin, : Springer-Verlag, 1990 |
| Descrizione fisica | viii, 250 p. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11F41 - Automorphic forms on $\mbox{GL}(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces [MSC 2020] 11F75 - Cohomology of arithmetic groups [MSC 2020] |
| Soggetto non controllato |
Complex Analysis
Cusp Form Eisenstein Series Number theory Reduction theory Selberg trace formula |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00286904 |
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Freitag, Eberhard
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| Berlin, : Springer-Verlag, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Modular Forms / Toshitsune Miyake ; Translated from japanese by Yoshitaka Maeda
| Modular Forms / Toshitsune Miyake ; Translated from japanese by Yoshitaka Maeda |
| Autore | Miyake, Toshitsune |
| Pubbl/distr/stampa | Berlin, : Springer, 1989 |
| Descrizione fisica | x, 338 p. : ill. ; 24 cm |
| Soggetto non controllato |
Eichler-Selberg trace formula
Eisenstein Series Hecke operator Hecke-Weil theory Number theory Primitive forms |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0265911 |
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Miyake, Toshitsune
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| Berlin, : Springer, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Modular Forms / Toshitsune Miyake ; Translated from japanese by Yoshitaka Maeda
| Modular Forms / Toshitsune Miyake ; Translated from japanese by Yoshitaka Maeda |
| Autore | Miyake, Toshitsune |
| Pubbl/distr/stampa | Berlin, : Springer, 1989 |
| Descrizione fisica | x, 338 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11F06 - Structure of modular groups and generalizations; arithmetic groups [MSC 2020] 11F11 - Holomorphic modular forms of integral weight [MSC 2020] 11F12 - Automorphic forms, one variable [MSC 2020] 11F20 - Dedekind eta function, Dedekind sums [MSC 2020] 11F27 - Theta series; Weil representation; theta correspondences [MSC 2020] 11F30 - Fourier coefficients of automorphic forms [MSC 2020] 11F66 - Langlands $L$-functions; one variable Dirichlet series and functional equations [MSC 2020] 11Fxx - Discontinuous groups and automorphic forms [MSC 2020] |
| Soggetto non controllato |
Eichler-Selberg Trace Formula
Eisenstein Series Hecke operator Hecke-Weil theory Number theory Primitive forms |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English edition. It sets out to provide the reader with the basic knowledge of elliptic modular forms necessary to understand the recent developments in number theory. The first part gives the general theory of modular groups, modular forms and Hecke operators, with emphasis on the Hecke-Weil theory of the relation between modular forms and Dirichlet series. The second part is on the unit groups of quaternion algebras, which are seldom dealt with in books. The so-called Eichler-Selberg trace formula of Hecke operators follows next and the explicit computable formula is given. In the last chapter, written for the English edition, Eisenstein series with parameter are discussed following the recent work of Shimura: Eisenstein series are likely to play a very important role in the future progress of number theory, and thischapter provides a good introduction to the topic. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00265911 |
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Miyake, Toshitsune
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| Berlin, : Springer, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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On the Functional Equations Satisfied by Eisenstein Series / Robert P. Langlands
| On the Functional Equations Satisfied by Eisenstein Series / Robert P. Langlands |
| Autore | Langlands, Robert P. |
| Pubbl/distr/stampa | Berlin, : Springer, 1976 |
| Descrizione fisica | v, 337 p. ; 24 cm |
| Soggetto non controllato |
Eisenstein Series
Equations Functions Proofs Theorem |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0257444 |
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Langlands, Robert P.
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| Berlin, : Springer, 1976 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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