04452nam 2200589 a 450 991046253260332120211202222501.03-11-086595-510.1515/9783110865950(CKB)2670000000251376(EBL)3042249(OCoLC)922944948(SSID)ssj0000559639(PQKBManifestationID)11388885(PQKBTitleCode)TC0000559639(PQKBWorkID)10567788(PQKB)11098506(MiAaPQ)EBC3042249(WaSeSS)Ind00010024(DE-B1597)54736(OCoLC)979586295(DE-B1597)9783110865950(Au-PeEL)EBL3042249(CaPaEBR)ebr10598338(EXLCZ)99267000000025137619910417d1991 uy 0engurnn#---|u||utxtccrComputational number theory[electronic resource] proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 /editors, Attila Pethö ... [et al.]Reprint 2011Berlin ;New York W. de Gruyter19911 online resource (356 p.)Description based upon print version of record.3-11-012394-0 Includes bibliographical references.Front matter --Preface --List of contributors --Table of contents --On the construction of primitive elements and primitive normal bases in a finite field /Stepanov, S.A. / Shparlinskiy, I.E. --A numerical method for the determination of the cyclotomic polynomial coefficients /Grytczuk, A. / Tropak, B. --Number systems /Kovács, Β. --Fast converging series representations of real numbers and their implementations in digital processing /Melnichuk, Yu. V. --On a polynomial transformation and its application to the construction of a public key cryptosystem /Pethö, A. --Number-theoretic transforms and a theorem of Sylvester - Kronecker - Zsigmondy /Tasche, M. / Steidl, G. / Creutzburg, R. --A probabilistic class group and regulator algorithm and its implementation /Buchmann, J. / Düllmann, S. --Prime-producing quadratic polynomials and class numbers of quadratic orders /Halter-Koch, F. --Applications of a new class number two criterion for real quadratic fields /Mollin, R.A. --On a solution of a class number two problem for a family of real quadratic fields /Mollin, R.A. / Williams, H.C. --Cubic number fields with exceptional units /Ennola, V. --Enumeration of totally complex quartic fields of small discriminant /Ford, D. --Class number computation by cyclotomic or elliptic units /Nakamula, K. --Computing fundamental units from independent units /Arenz, B. --A note on index divisors /Pohst, M. --Computation of independent units in number fields by a combination of the methods of Buchmann/Pethö and Pohst / Zassenhaus /Schröter, U. --Hecke actions on classes of ternary quadratic forms /Birch, B.J. --Computation of singular moduli by multi-valued modular equations /Cohn, Harvey --Congruent numbers and elliptic curves /Serf, P. --The rank of elliptic curves upon quadratic extension /Schneiders, U. / Zimmer, H. G. --On the resolution of some diophantine equations /Gaál, I. --Index form equations in cubic number fields /Schulte, Ν. --On the practical solution of the Thue-Mahler equation /Tzanakis, N. / Weger, B.M.M. de --Some results on Thue equations and Thue-Mahler equations /Evertse, J.H. / --On the solution of the diophantine equation Gn = P(x) with sieve algorithm /Nemes, I. --On Thue equations associated with certain quartic number fields /Stroeker, R.J. --KANT - a tool for computations in algebraic number fields /Graf, J. / --SIMATH - a computer algebra system /Hollinger, C. / Serf, P.Number theoryData processingCongressesElectronic books.Number theoryData processing512/.7Pethö Attila1950-1048184Colloquium on Computational Number TheoryMiAaPQMiAaPQMiAaPQBOOK9910462532603321Computational number theory2476304UNINA