MARC Record from marc_columbia

LEADER: 02269mam a2200361 a 4500
001 1902879
005 20220609023154.0
008 950922s1996 enk b 001 0 eng
010 $a 95039233
015 $aGB96-77975
020 $a052140424X (hc)
035 $a(OCoLC)ocm33243655
035 $9ALZ5189CU
035 $a(NNC)1902879
035 $a1902879
040 $aDLC$cDLC$dGZM$dC#P$dUKM$dOrLoB-B
050 00 $aQA246.5$b.H33 1996
082 00 $a512/.72$220
100 1 $aHall, R. R.$q(Richard Roxby)$0http://id.loc.gov/authorities/names/n87844820
245 10 $aSets of multiples /$cRichard R. Hall.
260 $aCambridge ;$aNew York :$bCambridge University Press,$c1996.
300 $axvi, 264 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aCambridge tracts in mathematics ;$v118
504 $aIncludes bibliographical references (p. 258-262) and index.
505 00 $g0.$tFirst ideas --$g1.$tBesicovitch and Behrend sequences --$g2.$tDerived sequences and densities --$g3.$tOscillation --$g4.$tProbabilistic group theory --$g5.$tDivisor density --$g6.$tDivisor uniform distribution --$g7.$tH(x,y,z).
520 $aThe theory of sets of multiples, a subject which lies at the intersection of analytic and probabilistic number theory, has seen much development since the publication of 'Sequences' by Halberstam and Roth nearly thirty years ago. The area is rich in problems, many of them still unsolved or arising from current work. The author sets out to give a coherent, essentially self-contained account of the existing theory and at the same time to bring the reader to the frontiers of research.
520 8 $aOne of the fascinations of the theory is the variety of methods applicable to it, which include Fourier analysis, group theory, high and ultra-low moments, probability and elementary inequalities, as well as several branches of number theory. This Tract is the first devoted to the subject, and will be of value to number theorists, whether they be research workers or graduate students.
650 0 $aSequences.
653 0 $aNumber theory
830 0 $aCambridge tracts in mathematics ;$v118.$0http://id.loc.gov/authorities/names/n42005726
852 00 $bmat$hQA246.5$i.H33 1996