Additive number theory : the classical bases / [by] Melvyn B. Nathanson.
Material type:
TextLanguage: ENG Series: Graduate texts in mathematics ; 164Publication details: New York : Springer-Verlag, c1996.Description: xiv, 342 p. : ill. ; 25 cmISBN: - 9780387946566 (hbk. : alk. paper) :
- 23 rd 512.7 NAT/A
- QA241 .N347 1996
| Item type | Current library | Call number | Status | Date due | Barcode |
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Reference Book
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Transit Campus Mathematics | 512.7 NAT/A (Browse shelf(Opens below)) | Available | 002091 | |
Books
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Transit Campus Mathematics | 512.7 NAT/A (Browse shelf(Opens below)) | Available | 001995 |
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| 512.7 MAR/N Number fields/ | 512.7 MUR/P Problems in analytic number theory / | 512.7 NAT/A Additive number theory : the classical bases / | 512.7 NAT/A Additive number theory : the classical bases / | 512.7 NAT/A Additive number theory: inverse problems and the geometry of sumsets / | 512.7 NAT/E Elementary methods in number theory / | 512.7 NES/A Algebraic independence / |
Includes bibliographical references and index.
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
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