The Resource Additive number theory : the classical bases, Melvyn B. Nathanson

Additive number theory : the classical bases, Melvyn B. Nathanson

Label
Additive number theory : the classical bases
Title
Additive number theory
Title remainder
the classical bases
Statement of responsibility
Melvyn B. Nathanson
Creator
Subject
Language
eng
Summary
  • The classical bases in additive number theory are the polygonal numbers, the squares, cubes, and higher powers, and the primes. This book contains many of the great theorems in this subject: Cauchy's polygonal number theorem, Linnik's theorem on sums of cubes, Hilbert's proof of Waring's problem, the Hardy-Littlewood asymptotic formula for the number of representations of an integer as the sum of positive kth powers, Shnirel'man's theorem that every integer greater than one is the sum of a bounded number of primes, Vinogradov's theorem on sums of three primes, and Chen's theorem that every sufficiently large even integer is the sum of a prime and a number that is either prime or the product of two primes. The book is also an introduction to the circle method and sieve methods, which are the principal tools used to study the classical bases. The only prerequisites for the book are undergraduate courses in number theory and analysis
  • Additive number theory is one of the oldest and richest areas of mathematics. This book is the first comprehensive treatment of the subject in 40 years
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1944-
http://library.link/vocab/creatorName
Nathanson, Melvyn B.
Illustrations
illustrations
Index
index present
LC call number
QA241
LC item number
.N347 1996
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Number theory
  • Nombres, Théorie des
  • Number theory
  • Getaltheorie
  • Teoria aditiva
  • Teoria dos números
  • Nombres, théorie des
Label
Additive number theory : the classical bases, Melvyn B. Nathanson
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [331]-339) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Sums of polygons -- 2. Waring's problem for cubes -- 3. The Hilbert-Waring theorem -- 4. Weyl's inequality -- 5. The Hardy-Littlewood asymptotic formula -- 6. Elementary estimates for primes -- 7. The Shnirel'man-Goldbach theorem -- 8. Sums of three primes -- 9. The linear sieve -- 10. Chen's theorem -- Appendix: Arithmetic functions
Dimensions
25 cm.
Extent
xiv, 342 pages
Isbn
9780387946566
Lccn
96011745
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)34355066
  • (OCoLC)ocm34355066
Label
Additive number theory : the classical bases, Melvyn B. Nathanson
Publication
Bibliography note
Includes bibliographical references (p. [331]-339) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Sums of polygons -- 2. Waring's problem for cubes -- 3. The Hilbert-Waring theorem -- 4. Weyl's inequality -- 5. The Hardy-Littlewood asymptotic formula -- 6. Elementary estimates for primes -- 7. The Shnirel'man-Goldbach theorem -- 8. Sums of three primes -- 9. The linear sieve -- 10. Chen's theorem -- Appendix: Arithmetic functions
Dimensions
25 cm.
Extent
xiv, 342 pages
Isbn
9780387946566
Lccn
96011745
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)34355066
  • (OCoLC)ocm34355066

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