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001 CR9780511542909
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008 090505s2008||||enk o ||1 0|eng|d
020 _a9780511542909 (ebook)
020 _z9780521894876 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA246
_b.D53 2008
082 0 4 _a512.73
_222
100 1 _aDiamond, Harold G.,
_d1940-
_eauthor.
245 1 2 _aA higher-dimensional sieve method :
_bwith procedures for computing sieve functions /
_cHarold G. Diamond, H. Halberstam, William F. Galway.
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (xxi, 266 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v177
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aNearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. A Mathematica® software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica® which aid in the computation of such functions.
650 0 _aSieves (Mathematics)
700 1 _aHalberstam, H.
_q(Heini),
_eauthor.
700 1 _aGalway, William F.,
_eauthor.
776 0 8 _iPrint version:
_z9780521894876
830 0 _aCambridge tracts in mathematics ;
_v177.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511542909
999 _c517790
_d517788