1.1. Number Theory

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1.1. Number Theory

Papers in journals and proceedings

V. BERTHÉ, R. TIJDEMAN, (2002) Balance properties of multi- dimensional words, Theor. Comput. Sci. 273, 197-224.

W. BOSMA, B. DE SMIT, (2002) On arithmetically equivalent number fields of small degree, in: C. Fieker, D. Kohel (Eds.), Algorithmic Number Theory (Proceedings of ANTS 5, Sydney), Lecture Notes in Computer Science 2369, Springer-Verlag.

J.H. EVERTSE, (2002) On resultant inequalities, Acta Arith. 105, 67-101.

J.H. EVERTSE, (2002) Points on subvarieties of tori, In: G. Wüstholz, ed., A Panorama in Number Theory or the View from Baker's Garden, Proc. Conf. Number Theory in honour of the 60th birthday of Prof. Alan Baker, Zürich in 1999, Cambridge Univ. Press, pp. 214-230.

J.H. EVERTSE, R.G. FERRETTI, (2002) Diophantine inequalities on projective varieties, Intern. Math. Res. Not. 25, 1295-1330.

J.H. EVERTSE, N. HIRATA-KOHNO, (2002) Wirsing systems and resultant inequalities, In: Number Theory for the Millennium, Proc. Millennial Conf. Number Theory, (Urbana, IL, May 20-26, 2000), Vol. I, M.A. Bennett et al. eds., A.K. Peters, pp. 449-461.

J.H. EVERTSE, H.P. SCHLICKEWEI, (2002) A quantitative version of the Absolute Subspace Theorem, J. reine angew. Math. 548, 21-127.

J.H. EVERTSE, H.P. SCHLICKEWEI, W.M. SCHMIDT, (2002) Linear equations in variables which lie in a multiplicative group, Ann. Math. 155, 1-30.

H.W. LENSTRA, (2002) Solving the Pell equation, Notices Amer. Math. Soc. 49, 182-192.

H.W. LENSTRA, J. PILA, C. POMERANCE, (2002) A hyperelliptic smoothness test II, Proc. London Math. Soc. (3) 84, 2361-2401.

H.W. LENSTRA, (2002) On a problem of Garcia, Stichtenoth, and Thomas, Finite Fields and their Applications 8, 166-170.

H. ROSKAM, (2002) Artin's primitive root conjecture for quadratic fields, J. Théor. Nombres Bordeaux 14, 287-324.

J. SANDER, R. TIJDEMAN, (2002) The rectangular complexity of functions on two-dimensional lattices, Theor. Comput. Sci. 270, 857-863.

N. SARADHA, T.N. SHOREY, R. TIJDEMAN, (2002) Some extensions and refinements of a theorem of Sylvester, Acta Arith. 102, 167-181.

R. TIJDEMAN, (2002) Some applications of Diophantine approximation, in: Number Theory for the Milennium III, ed. by M.A. Bennett et al., A.K. Peters, Natick MA, U.S.A., pp. 261-284.

R. TIJDEMAN, PINGZHI YUAN, (2002) On the irrationality of Cantor and Ahmes series, Indag. Math., N.S. 13, 407-418.

Ph.D. Theses

S.H. CAVALLAR, (2002) On the Number Field Sieve Integer Factorisation Algorithm, Leiden University.

Reports and pre-prints

S. CAVALLAR, (2002) The three-large-primes variant of the number field sieve, CWI Report MAS-R0219.

I. CHEN, M. GRABITZ, B. DE SMIT, (2002) Relations between jacobians of modular curves of level, www.math.leidenuniv.nl/ desmit/prep/

D. A. COX, J. MCKAY, P. STEVENHAGEN, (2002) Principal moduli and class fields, MI report 2002-22.

J.H. EVERTSE, R. FERRETTI, (2002) A variation on Siegel's lemma, Report MI-2002-03.

L. HAJDU, R. TIJDEMAN, (2002) Polynomials dividing infinitely many quadrinomials or quintinomials, www.math.leidenuniv.nl/ tijdeman/preprints.html hajtij5.ps

J. HANŠCL, R. TIJDEMAN, (2002) On the irrationality of Cantor series, www.math.leidenuniv.nl/ tijdeman/preprints.html hantij7.ps

P. MEIJER, M. VAN DER VLUGT, (2002) The evaluation of Gauss sums for characters of 2-power order, Report MI 2002-16.

P. MOREE, H.J.J. TE RIELE, (2002) The hexagonal versus the square lattice, CWI Report MAS-R0214, and arXiv:math.NT/0204332.

B. DE SMIT, (2002) An algebraic proof of Brauer's class number relations, www.math.leidenuniv.nl/ desmit/prep/

B. DE SMIT, (2002) On arithmetically equivalent fields with distinct p-class numbers, www.math.leidenuniv.nl/ desmit/prep/

P. STEVENHAGEN, (2002) Triangles, squares, oranges and cuboids, MI report 2002-23.

P. STEVENHAGEN, (2002) The correction factor in Artin's primitive root conjecture, MI report 2002-30.

P. STEVENHAGEN, (2002) The number field sieve, www.math.leidenuniv.nl/ psh/

R.J. STROEKER, (2002) On Q-derived polynomials, Econometric Institute EUR, Report EI 2002-30.

SZ. TENGELY, (2002) On the Diophantine equation , www.math.leidenuniv.nl/ tengely/

R. TIJDEMAN, (2002) Periodicity and almost periodicity, www.math.leidenuniv.nl/ tijdeman/preprints.html tijbud.ps

R. TIJDEMAN, L. ZAMBONI, (2002) Fine and Wilf words for any periods, www.math.leidenuniv.nl/ tijdeman/preprints.html tijzam2.ps

H.C. WILLIAMS, H.J.J. TE RIELE, (2002) New computations concerning the Cohen-Lenstra heuristics, CWI Report MAS-R0215.

Other publications

R. TIJDEMAN, (2002) Getaltheoretische aspecten van discrete tomografie, in: Vacantiecursus 2002: Wiskunde en Gezondheid, CWI Syllabus 50, pp. 115-128.

Next: 1.2. Geometry Up: Algebra and Geometry Previous: Algebra and Geometry