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 offers with the measurement formulation of assorted automorphic kinds and the geometry of mathematics types. The relation among primary tools of acquiring size formulation (for cusp forms), the Selberg hint formulation and the index theorem (Riemann-Roch's theorem and the Lefschetz fastened aspect formula), is examined.
Comprised of 18 sections, this quantity starts by means of discussing zeta capabilities linked to cones and their distinct values, by way of an research of cusps on Hilbert modular kinds and values of L-functions. The reader is then brought to the measurement formulation of Siegel modular varieties; the graded earrings 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 team.
This ebook could be an invaluable source for mathematicians and scholars of mathematics.

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