Siegel's modular forms and dirichlet series : Course given at the University of Maryland, 1969-1970

書誌事項

Siegel's modular forms and dirichlet series : Course given at the University of Maryland, 1969-1970

Hans Maaß

(Lecture notes in mathematics, 216)

Springer-Verlag, 1971

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  • : gw

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注記

Bibliography: p. [326]-328

内容説明・目次

内容説明

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目次

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.- Groessen-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.

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