Analytic number theory for beginners
Pongsriiam, Prapanpong.
Analytic number theory for beginners - 2nd ed. - Rhode Island : American Mathematical Society, 2023. - xxiii, 375p. - . - Student mathematical library , volume 103 1520-9121 ; .
Revised edition of: Introduction to analytic number theory / Prapanpong Pongsriiam. First edition. 2020.
Includes bibliographical references and index.
This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big O, little o, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet L-function, Dirichlet's Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this second edition, sieve methods and additive number theory.
The book is self-contained and easy to follow. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes which include a chapter summary, open questions, historical background, and resources for further study. Since many topics in this book are not typically covered at such an accessible level, Analytic Number Theory for Beginners is likely to fill an important niche in today's selection of titles in this field.
Undergraduate and graduate students interested in analytic number theory.
9781470464448
Number theory--Textbooks.
Number theory -- Instructional exposition (textbooks, tutorial papers, etc.)
Number theory -- Research exposition (monographs, survey articles).
Number theory -- Elementary number theory.
Number theory -- Sequences and sets.
Number theory -- Multiplicative number theory.
511.3 / PON-A
Analytic number theory for beginners - 2nd ed. - Rhode Island : American Mathematical Society, 2023. - xxiii, 375p. - . - Student mathematical library , volume 103 1520-9121 ; .
Revised edition of: Introduction to analytic number theory / Prapanpong Pongsriiam. First edition. 2020.
Includes bibliographical references and index.
This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big O, little o, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet L-function, Dirichlet's Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this second edition, sieve methods and additive number theory.
The book is self-contained and easy to follow. Each chapter provides examples and exercises of varying difficulty and ends with a section of notes which include a chapter summary, open questions, historical background, and resources for further study. Since many topics in this book are not typically covered at such an accessible level, Analytic Number Theory for Beginners is likely to fill an important niche in today's selection of titles in this field.
Undergraduate and graduate students interested in analytic number theory.
9781470464448
Number theory--Textbooks.
Number theory -- Instructional exposition (textbooks, tutorial papers, etc.)
Number theory -- Research exposition (monographs, survey articles).
Number theory -- Elementary number theory.
Number theory -- Sequences and sets.
Number theory -- Multiplicative number theory.
511.3 / PON-A
