Maaß, Hans.

Siegel's Modular Forms and Dirichlet Series Course Given at the University of Maryland, 1969–1970 / [electronic resource] : by Hans Maaß. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1971. - VIII, 328 p. online resource. - Lecture Notes in Mathematics, 216 0075-8434 ; . - Lecture Notes in Mathematics, 216 .

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.

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9783540368816

10.1007/BFb0058625 doi


Mathematics.
Number theory.
Mathematics.
Number Theory.

QA241-247.5

512.7
The Institute of Mathematical Sciences, Chennai, India

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