Siegel's Modular Forms and Dirichlet Series - Course Given at the University of Maryland, 1969 - 1970

Preliminary remarks on topological groups.- Automorphism groups of bilinear forms.- Geometry in the representation space.- Symplectic geometry.- Weakly symmetric Riemannian spaces.- The Riemannian space of all positive matrices.- A generalization of JS(X).- The Riemannian space .- The reduction theory of positive quadratic forms.- Größen-characters of quadratic forms.- The modular group of degree n.- The fundamental domain of the modular group.- Modular forms of degree n.- Report on Eisenstein series of the modular group.- Dirichlet series corresponding to modular forms.- Zeta functions attached to quadratic forms.- Selberg's zeta functions.- Non-analytic Eisenstein series.- The differential operaton M?.- Final aspects.

Inhaltsverzeichnis

Preliminary remarks on topological groups.- Automorphism groups of bilinear forms.- Geometry in the representation space.- Symplectic geometry.- Weakly symmetric Riemannian spaces.- The Riemannian space of all positive matrices.- A generalization of JS(X).- The Riemannian space .- The reduction theory of positive quadratic forms.- Größen-characters of quadratic forms.- The modular group of degree n.- The fundamental domain of the modular group.- Modular forms of degree n.- Report on Eisenstein series of the modular group.- Dirichlet series corresponding to modular forms.- Zeta functions attached to quadratic forms.- Selberg's zeta functions.- Non-analytic Eisenstein series.- The differential operaton M?.- Final aspects.

Produktdetails

• Autoren: Hans Maaß
• Verlag: Springer, Berlin
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 29.06.2009
• EAN: 9783540055631
• ISBN: 978-3-540-05563-1
• Seiten: 328
• Abmessung: 156 mm x 238 mm x 19 mm
• Gewicht: 540 g
• Illustration: VIII, 328 p.
• Serien: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra