Skip to content

Analytic Number Theory for Undergraduates: 3 (Monographs in by Chan Heng Huat

By Chan Heng Huat

This ebook is written for undergraduates who desire to study a few simple leads to analytic quantity thought. It covers themes resembling Bertrand's Postulate, the best quantity Theorem and Dirichlet's Theorem of primes in mathematics progression.

The fabrics during this e-book are in keeping with A Hildebrand's 1991 lectures introduced on the collage of Illinois at Urbana-Champaign and the author's direction carried out on the nationwide collage of Singapore from 2001 to 2008.

Contents:

  • Facts approximately Integers
  • Arithmetical Functions
  • Averages of Arithmetical Functions
  • Elementary effects at the Distribution of Primes
  • The top quantity Theorem
  • Dirichlet Series
  • Primes in mathematics Progression

Readership: Final-year undergraduates and first-year graduates with easy wisdom of complicated research and summary algebra; academics.

Show description

Read or Download Analytic Number Theory for Undergraduates: 3 (Monographs in Number Theory) PDF

Similar number theory books

The Congruences of a Finite Lattice: A Proof-by-Picture Approach

Self-contained exposition presents the most important effects on congruence lattices of finite lattices contains the newest findings from a pioneering researcher within the fieldFeatures the author's signature "Proof-by-Picture" approach and its conversion to transparenciesContains whole proofs, an intensive bibliography and index, and approximately eighty open problemsExcellent grad textual content and reference

Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

Box mathematics explores Diophantine fields via their absolute Galois teams. This mostly self-contained therapy begins with innovations from algebraic geometry, quantity conception, and profinite teams. Graduate scholars can successfully study generalizations of finite box rules. We use Haar degree at the absolute Galois crew to interchange counting arguments.

Diophantine Equations over Function Fields (London Mathematical Society Lecture Note Series)

Diophantine equations over quantity fields have shaped probably the most very important and fruitful parts of arithmetic all through civilisation. lately expanding curiosity has been aroused within the analogous sector of equations over functionality fields. although, even though huge development has been made by way of prior authors, none has tried the imperative challenge of delivering tools for the particular answer of such equations.

Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions (Springer Monographs in Mathematics)

This monograph offers a cutting-edge and available therapy of a brand new common higher-dimensional concept of complicated dimensions, legitimate for arbitrary bounded subsets of Euclidean areas, in addition to for his or her normal generalization, relative fractal drums. It presents an important extension of the present conception of zeta services for fractal strings to fractal units and arbitrary bounded units in Euclidean areas of any size.

Extra info for Analytic Number Theory for Undergraduates: 3 (Monographs in Number Theory)

Example text

Download PDF sample

Rated 4.01 of 5 – based on 24 votes