000 02898nam a22005415i 4500
001 978-3-540-47021-2
003 DE-He213
005 20190213151648.0
007 cr nn 008mamaa
008 130109s1992 gw | s |||| 0|eng d
020 _a9783540470212
_9978-3-540-47021-2
024 7 _a10.1007/BFb0090185
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
072 7 _aPBH
_2thema
082 0 4 _a512.7
_223
100 1 _aAdleman, Leonard M.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPrimality Testing and Abelian Varieties Over Finite Fields
_h[electronic resource] /
_cby Leonard M. Adleman, Ming-Deh A. Huang.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1992.
300 _aVIII, 144 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1512
505 0 _aAcknowledgement -- Overview of the algorithm and the proof of the main theorem -- Reduction of main theorem to three propositions -- Proof of proposition 1 -- Proof of proposition 2 -- Proof of proposition 3.
520 _aFrom Gauss to G|del, mathematicians have sought an efficient algorithm to distinguish prime numbers from composite numbers. This book presents a random polynomial time algorithm for the problem. The methods used are from arithmetic algebraic geometry, algebraic number theory and analyticnumber theory. In particular, the theory of two dimensional Abelian varieties over finite fields is developed. The book will be of interest to both researchers and graduate students in number theory and theoretical computer science.
650 0 _aNumber theory.
650 0 _aInformation theory.
650 0 _aCombinatorics.
650 0 _aComputer science.
650 1 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
650 2 4 _aTheory of Computation.
_0http://scigraph.springernature.com/things/product-market-codes/I16005
650 2 4 _aCombinatorics.
_0http://scigraph.springernature.com/things/product-market-codes/M29010
650 2 4 _aArithmetic and Logic Structures.
_0http://scigraph.springernature.com/things/product-market-codes/I12026
700 1 _aHuang, Ming-Deh A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662170595
776 0 8 _iPrinted edition:
_z9783540553083
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1512
856 4 0 _uhttps://doi.org/10.1007/BFb0090185
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11449
_d11449