Read e-book online Automorphic Forms and Geometry of Arithmetic Varieties PDF

By K. Hashimoto,Y. Namikawa

ISBN-10: 0123305802

ISBN-13: 9780123305800

ISBN-10: 1483204642

ISBN-13: 9781483204642

Automorphic varieties and Geometry of mathematics forms bargains with the size formulation of assorted automorphic kinds 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 aspect formula), is examined.
Comprised of 18 sections, this quantity starts by way of discussing zeta features linked to cones and their certain values, by way of an research of cusps on Hilbert modular forms and values of L-functions. The reader is then brought to the size 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 team.
This ebook can be an invaluable source for mathematicians and scholars of mathematics.

Show description

Read Online or Download Automorphic Forms and Geometry of Arithmetic Varieties (Advanced Studies in Pure Mathematics) PDF

Similar algebra books

The Mathematics of Frobenius in Context: A Journey Through by Thomas Hawkins PDF

Frobenius made many vital contributions to arithmetic within the latter a part of the nineteenth century. Hawkins the following makes a speciality of his paintings in linear algebra and its dating with the paintings of Burnside, Cartan, and Molien, and its extension by means of Schur and Brauer. He additionally discusses the Berlin university of arithmetic and the guiding strength of Weierstrass in that faculty, in addition to the basic paintings of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the foundation for Frobenius's paintings in linear algebra.

Read e-book online Lattice Theory: The Common Wealth and International Library: PDF

Lattice idea provides an common account of an important department of latest arithmetic bearing on lattice conception. This publication discusses the weird positive aspects, which come with the presentation and exploitation of walls of a finite set. prepared into six chapters, this e-book starts with an outline of the idea that of a number of subject matters, together with units as a rule, the relatives and operations, the relation of equivalence, and the relation of congruence.

Download PDF by Stefan Waldmann: Lineare Algebra 2: Anwendungen und Konzepte für Studierende

In diesem Band des zweiteiligen Lehrbuchs zur Linearen Algebra werden zum einen verschiedene Anwendungen zu den Themen des ersten Bandes vertieft: es wird die Lösungstheorie linearer gewöhnlicher Differentialgleichungen mit konstanten Koeffizienten vorgestellt. Zum anderen werden die formalen Konzepte der linearen Algebra vertieft.

Get Exterior Algebras: Elementary Tribute to Grassmann's Ideas PDF

External Algebras: effortless Tribute to Grassmann's principles offers the theoretical foundation for external computations. It first addresses the $64000 query of making (pseudo)-Euclidian Grassmmann's algebras. Then, it indicates how the latter can be utilized to regard a couple of uncomplicated, even though major, questions of linear algebra, akin to co-linearity, determinant calculus, linear platforms reading, volumes computations, invariant endomorphism concerns, skew-symmetric operator experiences and decompositions, and Hodge conjugation, among others.

Extra resources for Automorphic Forms and Geometry of Arithmetic Varieties (Advanced Studies in Pure Mathematics)

Sample text

Download PDF sample

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

by Joseph

Rated 4.95 of 5 – based on 29 votes