Download Automorphic Forms and Geometry of Arithmetic Varieties by K. Hashimoto,Y. Namikawa PDF

By K. Hashimoto,Y. Namikawa

Automorphic kinds and Geometry of mathematics kinds bargains with the measurement formulation of assorted automorphic varieties and the geometry of mathematics forms. The relation among primary equipment of acquiring size formulation (for cusp forms), the Selberg hint formulation and the index theorem (Riemann-Roch's theorem and the Lefschetz mounted aspect formula), is examined.
Comprised of 18 sections, this quantity starts by way of discussing zeta capabilities linked to cones and their distinctive values, by means of an research of cusps on Hilbert modular types and values of L-functions. The reader is then brought to the measurement formulation of Siegel modular types; the graded jewelry of modular kinds in different variables; and Selberg-Ihara's zeta functionality for p-adic discrete teams. next chapters concentrate on zeta capabilities of finite graphs and representations of p-adic teams; invariants and Hodge cycles; T-complexes and Ogata's zeta 0 values; and the constitution of the icosahedral modular workforce.
This e-book may be an invaluable source for mathematicians and scholars of mathematics.

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