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Approche élémentaire de l'étude des fonctions arithmétiques

Author: Jean-Marie De Koninck
Publisher: Presses Université Laval
ISBN: 9782763769479
Category : Arithmetic functions
Languages : fr
Pages : 340

Book Description
Introduction à la théorie analytique des nombres. Les auteurs se sont limités à trois thèmes principaux : la répartition des nombres premiers dans la suite des nombres naturels (chap. 1 à 3), les fonctions arithmétiques (chap. 4 à 7) et les méthodes du crible moderne (chap. 8). "La présentation de ces thèmes se limite à l'utilisation de l'analyse réelle."

Approche élémentaire de l'étude des fonctions arithmétiques

Author: Jean-Marie De Koninck
Publisher: Presses Université Laval
ISBN: 9782763769479
Category : Arithmetic functions
Languages : fr
Pages : 340

Number Theory: An Elementary Introduction Through Diophantine Problems

Author: Daniel Duverney
Publisher: World Scientific Publishing Company
ISBN: 9813100850
Category : Mathematics
Languages : en
Pages : 348

Book Description
This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.These topics are covered in 12 chapters and more than 200 solved exercises.Clear, concise, and self-contained, this textbook may be used by undergraduate and graduate students, as well as highschool mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, this fascinating branch of mathematics.

Analytic Number Theory

Author: Jean-Marie De Koninck
Publisher: American Mathematical Society
ISBN: 1470473852
Category : Mathematics
Languages : en
Pages : 434

Book Description
The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$ conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book.