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1.1. Number Theory

Papers in journals and proceedings

D. BLEICHENBACHER, W. BOSMA, A.K. LENSTRA, Some remarks on Lucas-based cryptosystems, in: Don Coppersmith (ed.), Advances in Cryptology -- Proceedings of Crypto'95, Lecture Notes in Computer Science 963 (1995), pp. 386-396.

W. BOSMA, Computation of cyclotomic polynomials with Magma, in: W. Bosma, A. van der Poorten (eds.), Computational Algebra and Number Theory, Mathematics and its Applications 325, Dordrecht: Kluwer, pp. 213-226, 1995.

W. BOSMA, A.K. LENSTRA, An implementation of the elliptic curve integer factorization method, in: W. Bosma, A. van der Poorten (eds.), Computational Algebra and Number Theory, Mathematics and its Applications 325, Dordrecht: Kluwer, pp. 119-136, 1995.

W. BOSMA, H.W. LENSTRA, JR., Complete systems of two addition laws for elliptic curves, J. Number Th. 53 (1995), 229-240.

W. BOSMA, P. STEVENHAGEN, Density computations for real quadratic units. Math. Comp. 65 (1996), 1327-1337.

W. BOSMA, P. STEVENHAGEN, On the computation of quadratic 2-class groups, J. Th. Nombres Bordeaux 8 (1996), 283-313.

J. BRINKHUIS, Normal integral bases and the Spiegelungssatz of Scholz, Acta Arith. 69 (1995), 1-9.

J. BRINKHUIS, Introduction to duality in optimization theory, J. Optimization Th. Appl. 91 (1996), 523-542.

J. COWIE, B. DODSON, R.-M. ELKENBRACHT-HUIZING, A.K. LENSTRA, P.L. MONTGOMERY, J. ZAYER, A world wide number field sieve factoring record: on to 512 bits, proceedings of the Asiacrypt conference, held in Kyongju, South Korea, November 1996 and published as K. Kim and T. Matsumoto (Eds.), Advances in Cryptology - Asiacrypt '96, Lecture Notes in Computer Science 1163, pp. 382-394, Springer-Verlag, Berlin, 1996.

R.-M. ELKENBRACHT-HUIZING, Historical background of the Number Field Sieve, Nieuw Arch. Wiskunde, 14 (1996), 375-389.

R.-M. ELKENBRACHT-HUIZING, An implementation of the Number Field Sieve, Experimental Math. 5 (1996), 231-253.

R.-M. ELKENBRACHT-HUIZING, A multiple polynomial Number Field Sieve, proceedings of the ANTS-II conference, held in Talence, France, May 1996 and published as H. Cohen (Ed.), Algorithmic Number Theory, Lecture Notes in Computer Science 1122, pp. 99-114, Springer-Verlag, Berlin, 1996.

R.-M. ELKENBRACHT-HUIZING, P.L. MONTGOMERY, R.D. SILVERMAN, R.K. WACKERBARTH, S.S. WAGSTAFF, JR., The number field sieve on many computers, in: Proceedings of the Fifth Conference of the Canadian Number Theory Association and will be published as R. Gupta and K.S. Williams (Eds.), Proceedings and Lecture Notes Series, American Mathematical Society, 1996.

J.-H. EVERTSE, An explicit version of Faltings' Product theorem and an improvement of Roth's lemma, Acta Arith. 73 (1995), 215-248.

J.-H. EVERTSE, The number of solutions of decomposable form equations, Invent. Math. 122 (1995), 559-601.

J.-H. EVERTSE, An improvement of the quantitative subspace theorem, Compositio Math. 101 (1996), 225-311.

J.-H. EVERTSE, R. TIJDEMAN, Singular differences of powers of tex2html_wrap_inline4456 -matrices, Compositio Math. 104 (1996), 199-216.

G.N. TEN HAVE, R. TIJDEMAN, Diophantine approximation of matrices, Rocky Mountain J. Math. 26 (1996), 1139-1164

C. KRAAIKAMP, A. LOPES, The theta group and the continued fraction expansion with even partial quotients, Geom. Dedicata 59 (1996), 293-333.

M. MIGNOTTE, B.M.M. DE WEGER, On the diophantine equations tex2html_wrap_inline4506 and tex2html_wrap_inline4508 . Glasgow Math. J. 38 (1996), 77-85

P.L. MONTGOMERY, A block Lanczos algorithm for finding dependencies over GF(2), pp. 106-120 in: Louis C. Guillou and Jean-Jacques Quisquater (eds.), Advances in Cryptology - EUROCRYPT '95 (Proc. Int. Conf. on the Theory and Application of Cryptology)

P. MOREE, On arithmetic progressions having only few prime factors in comparison with their length, Acta Arith. 70 (1995), 215-248.

N. SARADHA, T.N. SHOREY AND R. TIJDEMAN, On arithmetic progressions of equal lengths with equal products, Math. Proc. Cambr. Phil. Soc. 117 (1995), 193-201.

N. SARADHA, T.N. SHOREY AND R. TIJDEMAN, On the equation tex2html_wrap_inline4510 , m=1,2, Acta Arith. 71 (1995), 181-196.

N. SARADHA, T.N. SHOREY AND R. TIJDEMAN, On values of a polynomial at arithmetic progressions with equal products, Acta Arith. 72 (1995), 67-76.

T.N. SHOREY, R. TIJDEMAN, Some methods of Erdös applied to finite arithmetic progressions, in: The Mathematics of Paul Erdös, R.L. Graham & J. Nesetril (eds.), Algorithms and Combinatorics 13, Springer-Verlag Berlin etc., 1996, 251-267.

B. DE SMIT, Factor equivalence results for integers and units, Enseign. Math. 42 (1996), 383-394.

B. DE SMIT, On a conductor discriminant formula of McCulloh, Illinois J. Math. 40 (1996), 338-343.

B. DE SMIT, Measure characteristics of complexes, Cahiers Topologie Géom. Différentielle Catégoriques 37 (1996), 3-20.

B. DE SMIT, Primitive elements in integral bases, Acta Arith. 71 (1995), 159-170.

P. STEVENHAGEN, A density conjecture for the negative Pell equation, in: Computational Algebra and Number Theory, 187-200, Mathematics and Its Applications 325, Kluwer Academic Publishers, Dordrecht, 1995.

P. STEVENHAGEN, Rédei-matrices and applications, in: Number Theory Paris 1992-93 (S. David, ed.), 245-259, London Math. Soc. Lecture Notes 215, Cambridge University Press, 1995.

P. STEVENHAGEN, Frobenius distributions for real quadratic orders, J. Th. Nombres Bordeaux 7 (1), 121-132 (1995).

P. STEVENHAGEN, On a problem of Eisenstein, Acta Arith. 74, 259-268 (1996).

R.J. STROEKER, On the sum of consecutive cubes being a perfect square. Compositio Math. 97 (1995), 295-307.

R.J. STROEKER, B.M.M. DE WEGER, On elliptic diophantine equations that defy Thue's method: the case of the Ochoa curve. Experimental Math. 3 (1994), 209-220.

R.J. STROEKER, B.M.M. DE WEGER, On a quartic diophantine equation. Proc. Edinburgh Math. Soc. 39 (1996), 97-114.

R. TIJDEMAN, Decomposition of the integers as a direct sum of two subsets, in: Number Theory, ed. by S. David, Number Theory Seminar Paris 1992-93, Cambridge University Press, (1995), 261-276.

R. TIJDEMAN, On complementary triples of Sturmian bisequences. Indag. Math. N.S. 7 (1996), 419-424.

R.W. VAN DER WAALL, On Clifford's ramification index for abelian chief factors of finite groups. J. Algebra, 177 (1995), 731-739.

R.W. VAN DER WAALL, A. FRANSMAN, On products of groups for which normality is a transitive relation on their Frattini quotient groups. Questiones Math. 19 (1996), 59-82.

R.W. VAN DER WAALL, E.B. KUISCH, Modular Frobenius groups. Manuscr. Math. 90 (1996), 403-427.

R.W. VAN DER WAALL, C.H.W.M. DE NIJS, On the embedding of a finite group as a Frattini subgroup. Bull. Belgian Math. Soc. 2 (1995), 519-527.

B.M.M. DE WEGER, A Thue equation with quadratic integers as variables, Math. Comp. 64 (1995), 855-861.

B.M.M. DE WEGER, A curious property of the eleventh Fibonacci number, Rocky Mountain J. Math. 25 (1995), 977-994.

B.M.M. DE WEGER, A binomial diophantine equation, Quart. J. Math. 47 (1996), 221-231.

Reports and pre-prints

M.A. BENNETT, B.M.M. DE WEGER, On the diophantine equation tex2html_wrap_inline4514 , Report W96-12, Mathematical Institute, Leiden University, 1996.

H. BOENDER, The number of relations in the quadratic sieve algorithm, Report W96-21, Leiden University, 1996.

H. BOENDER, The number of relations in the quadratic sieve algorithm, CWI Report NM-R9622.

H. BOENDER, H.J.J. TE RIELE, Factoring integers with large prime variations of the quadratic sieve, Report W95-06, Leiden University, 1995.

W. BOSMA, P. STEVENHAGEN, On the computation of quadratic 2-class groups, Math. Report 95-04, University of Amsterdam, 1995.

A. BREMNER, R.J. STROEKER AND N. TZANAKIS, On sums of consecutive squares, Report 9528/B, Econometric Institute, Erasmus University Rotterdam, 1995.

R.P. BRENT, P.L. MONTGOMERY, H.J.J. TE RIELE, Factorizations of tex2html_wrap_inline4516 , tex2html_wrap_inline4518 : update 2, CWI Report NM-R9609.

J. BRINKHUIS, Vertical halfspaces as solutions of dual extremal problems, Report 9540/B, Econometric Institute, Erasmus University, Rotterdam, 1995.

J. BRINKHUIS, Extremal problems and inclusion of perturbations in halfspaces, Report 9541/B, Econometric Institute, Erasmus University, Rotterdam, 1995.

K. DAJANI, C. KRAAIKAMP, A Gauss-Kusmin theorem for optimal continued fractions, Math. Report 991, Utrecht University, 1996.

J.-H. EVERTSE, The number of solutions of the Thue-Mahler equation, Report W95-12, Leiden University, 1995.

J.-H. EVERTSE, The number of algebraic numbers of given degree approximating a given algebraic number, Report W96-17, Leiden University, 1996.

J.-H. EVERTSE, Lower bounds for resultants II, Report W96-20, Mathematical Institute, Leiden University, 1996.

H.W. LENSTRA JR., B. DE SMIT, Finite complete intersection algebras and the completeness radical, Math. Report 96-06, University of Amsterdam, 1996.

B. DE SMIT, On the integers from cyclic subfields in Abelian number fields, Math. Report 96-16, University of Amsterdam, 1996.

R. TIJDEMAN, On disjoint pairs of Sturmian bisequences, Report W95-13, Leiden University, 1995.

R. TIJDEMAN, Intertwined periodic sequences, Sturmian sequences and Beatty sequences, Report W96-06, Leiden University, 1996.

R. TIJDEMAN, Irrationality criteria for numbers of Mahler's type, Report W96-13, Leiden University, 1996.

B.M.M. DE WEGER, One diophantine equation, Report 9559/B, Econometric Institute, Erasmus University Rotterdam, 1995.

B.M.M. DE WEGER, Complete solution of a Thue inequality, Report 9561/B, Econometric Institute, Erasmus University Rotterdam, 1995.

B.M.M. DE WEGER, A + B = C and big Sha's, Report W96-11, Mathematical Institute, Leiden University, 1996.

Other publications

W. BOSMA, J. CANNON, Handbook of Magma functions, pre-publication, (1993, 1994, 1995, 1996), approx. 1100 p.

W. BOSMA, A. VAN DER POORTEN (eds), Computational Algebra and Number Theory, Mathematics and its Applications 325, Dordrecht: Kluwer, 1995, 321 p.

J. BRINKHUIS EN G. DRAISMA, Schiet Op, Special report, Econometric Institute, 1996, 7 p.

H.W. LENSTRA, P. STEVENHAGEN, Chebotarev and his density theorem, Math. Intelligencer 18 (1996), 26-37.

P. STEVENHAGEN, Roosters en kwadratische vormen, in: Kegelsneden en kwadratische vormen, CWI Syllabus 40 (1995), 94-109.


next up previous contents
Next: 1.2. Algebraic and Analytic Up: Algebra and Geometry Previous: Algebra and Geometry

J.H.M.Dassen
Fri Mar 20 16:01:06 MET 1998