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Beskrivning
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.
"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)
Innehållsförteckning
Introduction.- Notations.- Finite Quadratic Modules.- Weil Representations of Finite Quadratic Modules.- Jacobi Forms over Totally Real Number Fields.- Singular Jacobi Forms.- Tables.- Glossary.