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

Algebra

By K. Hashimoto,Y. Namikawa

ISBN-10: 0123305802

ISBN-13: 9780123305800

ISBN-10: 1483204642

ISBN-13: 9781483204642

Automorphic kinds and Geometry of mathematics kinds bargains with the size formulation of varied automorphic types and the geometry of mathematics types. The relation among primary tools of acquiring measurement formulation (for cusp forms), the Selberg hint formulation and the index theorem (Riemann-Roch's theorem and the Lefschetz mounted element formula), is examined.
Comprised of 18 sections, this quantity starts through discussing zeta features linked to cones and their precise values, through an research of cusps on Hilbert modular forms and values of L-functions. The reader is then brought to the measurement formulation of Siegel modular types; the graded earrings of modular varieties 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 publication may be an invaluable source for mathematicians and scholars of mathematics.

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Automorphic Forms and Geometry of Arithmetic Varieties (Advanced Studies in Pure Mathematics) by K. Hashimoto,Y. Namikawa


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