Motohashi Y Essays in Classical Number Theory 2025
General:
Name: Motohashi Y Essays in Classical Number Theory 2025
Format: pdf
Size: 4.31 MB
Book:
Title: Essays in Classical Number Theory
Author: Yoichi Motohashi
Language: angielski
Year: 2025
Subjects: Science & Technology, Mathematics, Number Theory
Publisher: Cambridge University Press
ISBN: 9781009504553
Total pages: 703
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.
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