Overview

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon - the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in some way or other dependent on the functional equation. The proofs rest on finite fields, representation theory of nilpotent groups, reciprocity law for the Dedekind sums, and the translation formula for the theta-series, respectively. Likewise, for example, the Euler function is treated in several different places.One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.

Full Product Details

Author:   Fuhuo Li (Henan Suda Electric Vehicle Technology Co., Ltd., China) ,  Nianliang Wang (Shangluo Univ, China) ,  Shigeru Kanemitsu (Henan Suda Electric Vehicle Technology Co., Ltd., China & Kyushu Inst Of Technology, Japan & Shandong Univ, China)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 22.90cm
Weight:   0.499kg
ISBN:  

9789814425636

ISBN 10:   981442563
Pages:   208
Publication Date:   22 January 2013
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Elements of Algebra; Rudiments of Algebraic Number Theory; Arithmetical Functions and Stieltjes Integrals; Quadratic Reciprocity Through Duality; Around Dirichlet L-Functions; Control Systems and Number Theory.

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