1 option
Essays in classical number theory / Yoichi Motohashi.
- Format:
- Book
- Author/Creator:
- Motohashi, Y. (Yoichi), author.
- Series:
- Cambridge studies in advanced mathematics ; 217.
- Cambridge studies in advanced mathematics ; 217
- Language:
- English
- Subjects (All):
- Number theory.
- Numeration--History.
- Numeration.
- Numbers, Natural.
- Physical Description:
- 1 online resource (xv, 685 pages) : digital, PDF file(s).
- Edition:
- First edition.
- Place of Publication:
- Cambridge : Cambridge University Press, 2025.
- Summary:
- 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.
- Contents:
- Cover
- Half-title
- Series information
- Title page
- Copyright information
- Dedication
- Table of Contents
- Preface
- For Readers
- Table of Theorems
- 1 Divisibility
- 1
- Notes
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15
- 16
- 17
- 18
- 19
- 20
- 21
- 22
- 23
- 24
- 25
- Note
- 26
- 2 Congruences
- 27
- 28
- 29
- 30
- 31
- 32
- 33
- 34
- 35
- 36
- 37
- ps: [/EMC pdfmark [/StPop pdfmark
- 38
- 39
- 40
- 41
- 42
- 43
- 44
- 45
- 46
- 47
- 48
- 49
- 3 Characters
- 50
- 51
- 52
- 53
- 54
- 55
- 56
- 57
- 58
- 59
- 60
- 61
- 62
- 63
- 64
- 65
- 66
- 67
- 68
- 69
- 70
- 4 Quadratic Forms
- 71
- 72
- 73
- 74
- 75
- 76
- 77
- 78
- 79
- 80
- 81
- 82
- 83
- 84
- 85
- 86
- 87
- 88
- 89
- 90
- 91
- 92
- 93
- 5 Distribution of Prime Numbers
- 94
- 95
- 96
- 97
- 98
- 99
- 100
- 101
- 102
- 103
- 104
- 105
- 106
- Notes.
- 107
- Bibliography
- Index.
- Notes:
- Title from publisher's bibliographic system (viewed on 13 Aug 2025).
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 1-009-50454-1
- 1-009-50452-5
- OCLC:
- 1518026820
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.