02749nam 2200685 450 99646662240331620220511133116.03-540-47021-210.1007/BFb0090185(CKB)1000000000437113(SSID)ssj0000325813(PQKBManifestationID)12097358(PQKBTitleCode)TC0000325813(PQKBWorkID)10266153(PQKB)10547770(DE-He213)978-3-540-47021-2(MiAaPQ)EBC5610751(MiAaPQ)EBC6692842(Au-PeEL)EBL5610751(OCoLC)1078993550(Au-PeEL)EBL6692842(PPN)155170112(EXLCZ)99100000000043711320220422d1992 uy 0engurnn#008mamaatxtccrPrimality testing and Abelian varieties over finite fields /Leonard M. Adleman, Ming-Deh A. Huang1st ed. 1992.Berlin, Heidelberg :Springer-Verlag,[1992]©19921 online resource (VIII, 144 p.)Lecture Notes in Mathematics ;1512Bibliographic Level Mode of Issuance: Monograph0-387-55308-8 3-540-55308-8 Acknowledgement -- 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.From 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.Lecture notes in mathematics (Springer-Verlag) ;1512.Numbers, PrimeAbelian varietiesFinite fields (Algebra)Numbers, Prime.Abelian varieties.Finite fields (Algebra)512.7214K15msc11A51msc68Q25mscAdleman Leonard M.59541Huang Ming-Deh A.MiAaPQMiAaPQMiAaPQBOOK996466622403316Primality testing and abelian varieties over finite fields262300UNISA01919oam 2200481 450 991070697230332120180518063429.0(CKB)5470000002459753(OCoLC)896810609(OCoLC)995470000002459753(EXLCZ)99547000000245975320141123d1980 ua 0engurmn|||||||||txtrdacontentcrdamediacrrdacarrierTectonic studies in the Brazilian shield /by Avery Ala Drake, Jr. and Benjamin A. MorganWashington :United States Department of the Interior, Geological Survey,1980.1 online resource (iii, 30 pages) illustrations, mapsGeological Survey professional paper ;1119Title from title screen (viewed October 6, 2014)."Prepared in cooperation with the Departamento Nacional de Aguas e Energia Eletrica, Departamento Nacional de Produção Mineral, and the Companhia de Pesquisa de Recursos Minerais of Brazil."Includes bibliographical references.(A) The Serra de Caldas window, Goiás -- (B) Precambrian plate tectonics in the Brazilian shield. Evidence from the pre-Minas rocks of the Quadrilátero Ferrítero, Minas Gerais.GeologyBrazilGoiás (State)GeologyBrazilQuadrilátero do FerroGeology, StratigraphicPrecambrianGeologyGeologyGeology, StratigraphicDrake Avery Ala1927-1386063Morgan Benjamin A.Geological Survey (U.S.),COPCOPOCLCOOCLCAGPOBOOK9910706972303321Tectonic studies in the Brazilian shield3434643UNINA