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“The classical theory of Jacobi forms, and its connections to elliptic modular forms, have been a constant subject of research for many decades. ... this book is valuable contribution to the mathematical society, and serves as a welcoming invitation to anyone who finds interest in engaging him/herself in researching this beautiful new theory.” (Shaul Zemel, zbMATH 1317.11002, 2015)
Introduction.- Notations.- Finite Quadratic Modules.- Weil Representations of Finite Quadratic Modules.- Jacobi Forms over Totally Real Number Fields.- Singular Jacobi Forms.- Tables.- Glossary.
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Descrizione libro Soft Cover. Condizione: new. Codice articolo 9783319129150
Descrizione libro Condizione: New. Codice articolo 22051464-n
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Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9783319129150_lsuk
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Descrizione libro Condizione: New. Codice articolo 22051464-n
Descrizione libro Paperback. Condizione: Brand New. 2015 edition. 140 pages. 9.00x6.00x0.50 inches. In Stock. Codice articolo x-3319129155
Descrizione libro Taschenbuch. Condizione: 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. Codice articolo 9783319129150
Descrizione libro Taschenbuch. Condizione: 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. Codice articolo 9783319129150
Descrizione libro Condizione: New. Book is in NEW condition. Codice articolo 3319129155-2-1