Essays in Classical Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 217)
Author:Yoichi Motohashi (Author)
Publisher finelybook 出版社: Cambridge University Press
Publication Date 出版日期: 2025-08-31
Language 语言: English
Print Length 页数: 640 pages
ISBN-10: 100950455X
ISBN-13: 9781009504553
Book Description
Offering a comprehensive introduction to number theory, this is the ideal book both for those who want to learn the subject seriously and independently, or for those already working in number theory who want to deepen their expertise. Readers will be treated to a rich experience, developing the key theoretical ideas while explicitly solving arithmetic problems, with the historical background of analytic and algebraic number theory woven throughout. Topics include methods of solving binomial congruences, a clear account of the quantum factorization of integers, and methods of explicitly representing integers by quadratic forms over integers. In the later parts of the book, the author provides a thorough approach towards composition and genera of quadratic forms, as well as the essentials for detecting bounded gaps between prime numbers that occur infinitely often.
