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Sprache: Englisch
Verlag: Springer Distribution Center GmbH (SDC), 2014
ISBN 10: 3319129155 ISBN 13: 9783319129150
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Sprache: Englisch
Verlag: Springer International Publishing, 2014
ISBN 10: 3319129155 ISBN 13: 9783319129150
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory of Jacobi forms over the rational numbers, which is an indispensable tool in the arithmetic theory of elliptic modular forms, elliptic curves, and in many other disciplines in mathematics and physics. Jacobi forms can be viewed as vector valued modular forms which take values in so-called Weil representations. Accordingly, the first two chapters develop the theory of finite quadratic modules and associated Weil representations over number fields. This part might also be interesting for those who are merely interested in the representation theory of Hilbert modular groups. One of the main applications is the complete classification of Jacobi forms of singular weight over an arbitrary totally real number field.
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Taschenbuch. Zustand: Neu. Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields | Hatice Boylan | Taschenbuch | Lecture Notes in Mathematics | xix | Englisch | 2014 | Springer | EAN 9783319129150 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Sprache: Englisch
Verlag: Springer International Publishing, Springer Nature Switzerland Dez 2014, 2014
ISBN 10: 3319129155 ISBN 13: 9783319129150
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory of Jacobi forms over the rational numbers, which is an indispensable tool in the arithmetic theory of elliptic modular forms, elliptic curves, and in many other disciplines in mathematics and physics. Jacobi forms can be viewed as vector valued modular forms which take values in so-called Weil representations. Accordingly, the first two chapters develop the theory of finite quadratic modules and associated Weil representations over number fields. This part might also be interesting for those who are merely interested in the representation theory of Hilbert modular groups. One of the main applications is the complete classification of Jacobi forms of singular weight over an arbitrary totally real number field. 152 pp. Englisch.
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Sprache: Englisch
Verlag: Springer International Publishing, 2014
ISBN 10: 3319129155 ISBN 13: 9783319129150
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In den WarenkorbZustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a theory which is intended to open new directions of research in the theory of Hilbert modular formsProvides a steep introduction to Weil representations of Hilbert modular groupsProvides the basic tools for a comprehensive theory .