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1. / Audrey Terras
1. / Audrey Terras
Autore Terras, Audrey
Pubbl/distr/stampa New York, : Springer-Verlag, 1985
Descrizione fisica xv, 341 p. : ill. ; 24 cm
Soggetto topico 11-XX - Number theory [MSC 2020]
43A85 - Analysis on homogeneous spaces [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11F67 - Special values of automorphic $L$-series, periods of automorphic forms, cohomology, modular symbols [MSC 2020]
33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020]
22E30 - Analysis on real and complex Lie groups [MSC 2020]
58C40 - Spectral theory; eigenvalue problems on manifolds [MSC 2020]
11M35 - Hurwitz and Lerch zeta functions [MSC 2020]
Soggetto non controllato Analysis
Boundary Element Methods
Coordinate Transformations
Diophantine Equations
Distribution
Equations
Fourier analysis
Fourier series
Generalized functions
Harmonic analysis
Integrals
Medicine
Metric spaces
Spaces
Zeta functions
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0268774
Terras, Audrey  
New York, : Springer-Verlag, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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1. / Audrey Terras
1. / Audrey Terras
Autore Terras, Audrey
Pubbl/distr/stampa New York, : Springer-Verlag, 1985
Descrizione fisica xv, 341 p. : ill. ; 24 cm
Soggetto topico 11-XX - Number theory [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11F67 - Special values of automorphic $L$-series, periods of automorphic forms, cohomology, modular symbols [MSC 2020]
11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020]
11M35 - Hurwitz and Lerch zeta functions [MSC 2020]
22E30 - Analysis on real and complex Lie groups [MSC 2020]
33C80 - Connections of hypergeometric functions with groups and algebras, and related topics [MSC 2020]
43-XX - Abstract harmonic analysis [MSC 2020]
43A85 - Analysis on homogeneous spaces [MSC 2020]
58C40 - Spectral theory; eigenvalue problems on manifolds [MSC 2020]
Soggetto non controllato Analysis
Boundary Element Methods
Coordinate Transformations
Diophantine equations
Distribution
Equations
Fourier Analysis
Fourier series
Generalized functions
Harmonic analysis
Integrals
Medicine
Metric Spaces
Spaces
Zeta functions
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Since its beginnings with Fourier (and as far back as the Babylonian astron­ omers), harmonic analysis has been developed with the goal of unraveling the mysteries of the physical world of quasars, brain tumors, and so forth, as well as the mysteries of the nonphysical, but no less concrete, world of prime numbers, diophantine equations, and zeta functions. Quoting Courant and Hilbert, in the preface to the first German edition of Methods of Mathematical Physics: "Recent trends and fashions have, however, weakened the connection between mathematics and physics. " Such trends are still in evidence, harmful though they may be. My main motivation in writing these notes has been a desire to counteract this tendency towards specialization and describe appli­ cations of harmonic analysis in such diverse areas as number theory (which happens to be my specialty), statistics, medicine, geophysics, and quantum physics. I remember being quite surprised to learn that the subject is useful. My graduate eduation was that of the 1960s. The standard mathematics graduate course proceeded from Definition 1. 1. 1 to Corollary 14. 5. 59, with no room in between for applications, motivation, history, or references to related work. My aim has been to write a set of notes for a very different sort of course.
Record Nr. UNICAMPANIA-VAN00268774
Terras, Audrey  
New York, : Springer-Verlag, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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4. / edited by B. J. Birch and W. Kuyk
4. / edited by B. J. Birch and W. Kuyk
Pubbl/distr/stampa Berlin, : Springer, 1975
Descrizione fisica v, 151 p. ; 24 cm
Soggetto topico 11-XX - Number theory [MSC 2020]
14-XX - Algebraic geometry [MSC 2020]
00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
11F12 - Automorphic forms, one variable [MSC 2020]
11G40 - $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [MSC 2020]
14H45 - Special algebraic curves and curves of low genus [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11F25 - Hecke-Petersson operators, differential operators (one variable) [MSC 2020]
14H25 - Arithmetic ground fields for curves [MSC 2020]
Soggetto non controllato Algorithms
Boundary Element Methods
Forms
Functions
Reliability
Singular fiber
Variables
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0256494
Berlin, : Springer, 1975
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
4. / edited by B. J. Birch and W. Kuyk
4. / edited by B. J. Birch and W. Kuyk
Pubbl/distr/stampa Berlin, : Springer, 1975
Descrizione fisica v, 151 p. ; 24 cm
Soggetto topico 00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020]
11-XX - Number theory [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11F12 - Automorphic forms, one variable [MSC 2020]
11F25 - Hecke-Petersson operators, differential operators (one variable) [MSC 2020]
11G40 - $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [MSC 2020]
14-XX - Algebraic geometry [MSC 2020]
14H25 - Arithmetic ground fields for curves [MSC 2020]
14H45 - Special algebraic curves and curves of low genus [MSC 2020]
Soggetto non controllato Algorithms
Boundary Element Methods
Forms
Functions
Reliability
Singular fiber
Variables
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00256494
Berlin, : Springer, 1975
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Elliptic functions / K. Chandrasekharan
Elliptic functions / K. Chandrasekharan
Autore Chandrasekharan, Komaravolu
Pubbl/distr/stampa Berlin, : Springer, 1985
Descrizione fisica XI, 189 p. : ill. ; 24 cm.
Soggetto topico 11-XX - Number theory [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11E16 - General binary quadratic forms [MSC 2020]
11P05 - Waring's problem and variants [MSC 2020]
33E05 - Elliptic functions and integrals [MSC 2020]
ISBN 03-87152-95-4
35-401-5295-4
8-3-642-52246-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-SUN0029433
Chandrasekharan, Komaravolu  
Berlin, : Springer, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Elliptic functions / K. Chandrasekharan
Elliptic functions / K. Chandrasekharan
Autore Chandrasekharan, Komaravolu
Pubbl/distr/stampa Berlin, : Springer, 1985
Descrizione fisica XI, 189 p. : ill. ; 24 cm
Soggetto topico 11-XX - Number theory [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11E16 - General binary quadratic forms [MSC 2020]
11P05 - Waring's problem and variants [MSC 2020]
33E05 - Elliptic functions and integrals [MSC 2020]
Soggetto non controllato Complex Analysis
Differential equations
Functions
Meromorphic functions
Modular forms
ISBN 978-36-425-2246-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0029433
Chandrasekharan, Komaravolu  
Berlin, : Springer, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Elliptic functions / K. Chandrasekharan
Elliptic functions / K. Chandrasekharan
Autore Chandrasekharan, Komaravolu
Pubbl/distr/stampa Berlin, : Springer, 1985
Descrizione fisica XI, 189 p. : ill. ; 24 cm
Soggetto topico 11-XX - Number theory [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11E16 - General binary quadratic forms [MSC 2020]
11P05 - Waring's problem and variants [MSC 2020]
33E05 - Elliptic functions and integrals [MSC 2020]
Soggetto non controllato Complex Analysis
Differential equations
Functions
Meromorphic functions
Modular forms
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0263491
Chandrasekharan, Komaravolu  
Berlin, : Springer, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Elliptic functions / K. Chandrasekharan
Elliptic functions / K. Chandrasekharan
Autore Chandrasekharan, Komaravolu
Pubbl/distr/stampa Berlin, : Springer, 1985
Descrizione fisica XI, 189 p. : ill. ; 24 cm
Soggetto topico 11-XX - Number theory [MSC 2020]
11E16 - General binary quadratic forms [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11P05 - Waring's problem and variants [MSC 2020]
33E05 - Elliptic functions and integrals [MSC 2020]
Soggetto non controllato Complex Analysis
Differential Equations
Functions
Meromorphic Functions
Modular forms
ISBN 978-36-425-2246-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00029433
Chandrasekharan, Komaravolu  
Berlin, : Springer, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Elliptic functions / K. Chandrasekharan
Elliptic functions / K. Chandrasekharan
Autore Chandrasekharan, Komaravolu
Pubbl/distr/stampa Berlin, : Springer, 1985
Descrizione fisica XI, 189 p. : ill. ; 24 cm
Soggetto topico 11-XX - Number theory [MSC 2020]
11E16 - General binary quadratic forms [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
11P05 - Waring's problem and variants [MSC 2020]
33E05 - Elliptic functions and integrals [MSC 2020]
Soggetto non controllato Complex Analysis
Differential Equations
Functions
Meromorphic Functions
Modular forms
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is self-contained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory.
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00263491
Chandrasekharan, Komaravolu  
Berlin, : Springer, 1985
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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Elliptic Functions according to Eisenstein and Kronecker / André Weil
Elliptic Functions according to Eisenstein and Kronecker / André Weil
Autore Weil, André
Edizione [Reprint of the 1976 Ed]
Pubbl/distr/stampa Berlin, : Springer, 1999
Descrizione fisica 92 p. ; 24 cm
Soggetto topico 30F35 - Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) [MSC 2020]
11F03 - Modular and automorphic functions [MSC 2020]
33E05 - Elliptic functions and integrals [MSC 2020]
33-XX - Special functions [MSC 2020]
46F10 - Operations with distributions and generalized functions [MSC 2020]
Soggetto non controllato Algebraic number theory
Elliptic functions
Equations
Forms
Functions
History of mathematics
Lattice
Mathematics
Number theory
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0256846
Weil, André  
Berlin, : Springer, 1999
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui