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Sieves in Number Theory (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics)
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Product Description
This book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers.. A self-contained treatment is given to topics that are of central importance in the subject. These include the upper bound method of Selberg, Brun's method, Rosser's sieve as developed by Iwaniec, with a bilinear form of the remainder term, the sieve with weights, and the use of Selberg's ideas in deriving lower-bound sieves. Further developments are introduced with the support of references t. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.
Product Details
- Amazon Sales Rank: #1590049 in Books
- Published on: 2001-06-20
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 304 pages
Editorial Reviews
Review
From the reviews of the first edition:
"The author presents a self-contained account of the small sieve. a ] This well-written book will become my primary source for the small sieve a ] . I recommend it to everybody who is interested in the technically complicated theory on sieve methods." (R. Tijdeman, Nieuw Archief voor Wiskunde, Vol. 4 (3), 2003)
"The authora (TM)s choice of subjects provides a good background in the basic ideas of the sieve a ] . This text also supplies excellent background for some of the important unsolved problems of the subject. a ] In conclusion, the reviewer recommends this book strongly to students of sieve methods in the opening years of the twenty-first century. It will likely become one of the standard references on the subject." (Sidney W. Graham, Zentralblatt MATH, Vol. 1003 (03), 2003)
"The book being reviewed is an excellent survey on sieve methods. a ] The book is well written indeed, and most of the material can be described as self-contained. It can therefore be read by university graduates making their first acquaintance with the subject a ] ." (P. Shiu, The Mathematical Gazette, Vol. 86 (507), 2002)
