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1. |
Record Nr. |
UNISALENTO991002954579707536 |
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Autore |
Boylan, Hatice |
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Titolo |
Jacobi forms, finite quadratic modules and Weil representations over number fields / Hatice Boylan |
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Pubbl/distr/stampa |
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Cham [Switzerland] : Springer, c2015 |
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ISBN |
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Descrizione fisica |
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Collana |
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Lecture notes in mathematics, 0075-8434 ; 2130 |
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Classificazione |
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AMS 11F50 |
AMS 11F27 |
LC QA243 |
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Disciplina |
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Soggetti |
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Jacobi forms |
Number theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references |
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Nota di contenuto |
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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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Sommario/riassunto |
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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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2. |
Record Nr. |
UNINA9910826383203321 |
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Autore |
Schintlmeister Alexander |
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Titolo |
Notodontidae & Oenosandridae (Lepidoptera) / / by Alexander Schintlmeister |
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Pubbl/distr/stampa |
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Leiden ; ; Boston : , : Brill, , 2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (605 p.) |
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Collana |
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World catalogue of insects, , 1398-8700 ; ; volume 11 |
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Disciplina |
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Soggetti |
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Notodontidae |
Oenosandridae |
Lepidoptera |
Moths |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Preliminary Material -- Introduction -- Family group names -- Catalogue of Oenosandridae and Notodontidae -- References -- Synopsis of taxonomic changes -- Index of scientific names. |
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Sommario/riassunto |
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This 11th volume in the World Catalogue of Insects comprises 4415 species in 532 genera of Notodontidae andamp; Oenosandridae (Lepidoptera) , which is about 1000 species more than ever before provided in any catalogue. Altogether 7434 names of taxonomic entities are included. 27 cases of new synonymies on genus level and 72 new synonymies on species group level are reported and 15 statuses of taxa are changed. One Neotype and 24 Lectotypes are designated to stabilize the nomenclature. In line with recognized homonymies 4 replacement names are proposed. The catalogue also includes 107 new combinations of Notodontidae. The bibliographical source of almost all of the listed taxa (including the infrasubspecific entities) has been checked by the author personally. The exact type-locality of a taxon as well as the depository of the type is given, where traceable. |
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