Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu's Number Theory and Its Applications PDF

By Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu

This ebook emphasizes the position of symmetry and provides as many viewpoints as attainable of a big phenomenon — the sensible equation of the linked zeta-function. It starts off from the fundamentals sooner than warping into the distance of latest curiosity; from the floor kingdom to the excited country. for instance, the Euler functionality is handled in numerous varied locations, because the variety of turbines of a finite cyclic crew, as one counting the order of the multiplicative crew of lowered residue sessions modulo q, and because the order and measure of the Galois staff of the cyclotomic box, respectively.

One of the $64000 ideas of studying is to paintings with the cloth repeatedly. This publication offers many worked-out examples and workouts to reinforce the reader's comprehension at the subject matters lined in an in-depth demeanour. this is often performed in a unique atmosphere every time such that the reader will regularly be challenged. For the prepared reader, even searching the textual content on my own, with out fixing the workouts, will yield a few wisdom and enjoyment.

Contents:

  • Elements of Algebra
  • Rudiments of Algebraic quantity Theory
  • Arithmetical features and Stieltjes Integrals
  • Quadratic Reciprocity via Duality
  • Around Dirichlet L-Functions
  • Control structures and quantity Theory

Readership: complicated undergraduate scholars, graduate scholars and researchers drawn to algebra via number-theoretic examples, number-theoretic keep watch over structures, etc.

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Number Theory and Its Applications by Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu


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