Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Additive number theory : the classical bases, Melvyn B. Nathanson
Additive number theory : the classical bases, Melvyn B. Nathanson
Resource Information
The item Additive number theory : the classical bases, Melvyn B. Nathanson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Additive number theory : the classical bases, Melvyn B. Nathanson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 HardyLittlewood 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
 Language
 eng
 Extent
 xiv, 342 pages
 Contents

 1. Sums of polygons
 2. Waring's problem for cubes
 3. The HilbertWaring theorem
 4. Weyl's inequality
 5. The HardyLittlewood asymptotic formula
 6. Elementary estimates for primes
 7. The Shnirel'manGoldbach theorem
 8. Sums of three primes
 9. The linear sieve
 10. Chen's theorem
 Appendix: Arithmetic functions
 Isbn
 9780387946566
 Label
 Additive number theory : the classical bases
 Title
 Additive number theory
 Title remainder
 the classical bases
 Statement of responsibility
 Melvyn B. Nathanson
 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 HardyLittlewood 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
 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
 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 HilbertWaring theorem  4. Weyl's inequality  5. The HardyLittlewood asymptotic formula  6. Elementary estimates for primes  7. The Shnirel'manGoldbach 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
 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 HilbertWaring theorem  4. Weyl's inequality  5. The HardyLittlewood asymptotic formula  6. Elementary estimates for primes  7. The Shnirel'manGoldbach 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
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/Additivenumbertheorytheclassicalbases/OSog33rY9yY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Additivenumbertheorytheclassicalbases/OSog33rY9yY/">Additive number theory : the classical bases, Melvyn B. Nathanson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Additive number theory : the classical bases, Melvyn B. Nathanson
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/Additivenumbertheorytheclassicalbases/OSog33rY9yY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Additivenumbertheorytheclassicalbases/OSog33rY9yY/">Additive number theory : the classical bases, Melvyn B. Nathanson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>