Download An Introduction to Non-Abelian Class Field by Toyokazu Hiramatsu,Seiken Saito PDF

By Toyokazu Hiramatsu,Seiken Saito

This monograph offers a short exposition of automorphic types of weight 1 and their functions to mathematics, in particular to Galois representations. one of many striking difficulties in mathematics is a generalization of sophistication box conception to non-abelian Galois extension of quantity fields. during this quantity, we speak about a few family members among this challenge and cusp kinds of weight 1.

Show description

Read Online or Download An Introduction to Non-Abelian Class Field Theory:Automorphic Forms of Weight 1 and 2-Dimensional Galois Representations: 13 (Series on Number Theory and Its Applications) PDF

Best number theory books

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

The ebook presents a self-contained advent to classical Number conception. all of the proofs of the person theorems and the suggestions of the routines are being provided step-by-step. a few ancient feedback also are offered. The publication might be directed to complicated undergraduate, starting graduate scholars in addition to to scholars who organize for mathematical competitions (ex.

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

A e-book on any mathematical topic past the textbook point is of little worth until it comprises new rules and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are awarded in addition to identified previous leads to a transparent exposition. it truly is with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta features are outlined for actual unfavorable numbers as analytic continuation. within the current ebook the writer defines new sequence for zeta and eta features, for genuine unfavourable and imaginary numbers with out analytic continuation. the recent zeta and eta capabilities continue the nature of harmonic sequence and alternating harmonic sequence respectively for actual destructive numbers, as for actual confident numbers.

Computation with Linear Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Designed as a self-contained account of a few key algorithmic difficulties and their suggestions for linear algebraic teams, this e-book combines in a single unmarried textual content either an advent to the fundamental concept of linear algebraic teams and a considerable selection of important algorithms. Computation with Linear Algebraic teams deals a useful consultant to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational crew conception, in addition to these searching for a concise creation to the idea of linear algebraic teams.

Additional resources for An Introduction to Non-Abelian Class Field Theory:Automorphic Forms of Weight 1 and 2-Dimensional Galois Representations: 13 (Series on Number Theory and Its Applications)

Sample text

Download PDF sample

Rated 4.44 of 5 – based on 44 votes