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Jan-Hendrik Evertse
Preprints and publications |
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| Notes | Preprints | 1982-1985 | 1986-1990 | 1991-1995 | 1996-2000 | 2001-2005 | 2006-2010 | 2011-2015 | ||
| Notes (will probably not be published) | ||
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Approximation of complex algebraic numbers by algebraic
numbers of bounded degree.
4 pp. [pdf] | |
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Diophantine equations and Diophantine approximation.
Biennial report 2000&2001 of the
Thomas Stieltjes Institute for Mathematics.
Preprint: [pdf] | |
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A variation on Siegel's Lemma
(Appendix to the paper: "Quantitative Diophantine approximations on projective
varieties" by R.G. Ferretti).
16 pp. [pdf] | |
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| Preprints | ||
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The Harder-Narasimhan weight of a multi-weighted vector space.
26 pp. [pdf] | |
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The Subspace Theorem and twisted heights. 32 pp. [pdf] | |
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(with R.G. Ferretti)
A further improvement of the Quantitative Subspace Theorem. 94 pp. To appear in Annals of Math. (March, 2013).
[pdf] | |
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(with
A. Bérczes,
K. Györy),
Multiply monogenic orders. 40 pp. To appear in Ann. Scuola Norm. Sup. Pisa.
[pdf] | |
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(with
K. Györy),
Effective results for unit equations over finitely generated domains.
41 pp.
[pdf] | |
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| Publications 1982-1985 | ||
| [1] | On the equation axn -byn=c, Compos. Math. 47 (1982), 289-315. | |
| [2] | On the representation of integers by binary cubic forms of positive discriminant, Invent. math. 73 (1983), 117-138. | |
| [3] | Upper bounds for the numbers of solutions of Diophantine equations, Ph-D thesis, MC-tract 168, Centrum voor Wiskunde en Informatica, Amsterdam, 1983, 125 pp. | |
| [4] | On equations in S-units and the Thue-Mahler equation, Invent. math. 75 (1984), 561-584. | |
| [5] | On sums of S-units and linear recurrences, Compos. Math. 53 (1984), 225-244. | |
| [6] | Upper bounds for the numbers of solutions of certain Diophantine equations, Séminaire de Théorie des Nombres, Paris, 1983-84, C. Goldstein ed. Birkhäuser, Boston etc., 1985, 71-90. | |
| [7] | (with K. Györy) On unit equations and decomposable form equations, J. reine angew. Math. (1985), 6-19. | |
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Publications 1986-1990 |
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| [8] | (with J.H. Silverman) Uniform bounds for the number of solutions to yn=f(x), Math. Proc. Cambr. Phil. Soc. 100 (1986), 237-248. | |
| [9] | On equations in two S-units over function fields of characteristic 0, Acta Arith. 47 (1986), 233-253. | |
| [10] | (with D. Chaum) Cryptanalysis of DES with a reduced number of rounds; sequences of linear factors in block ciphers, Proc. Crypto '85, H.C. Williams, ed., Lecture Notes Comp. Sc. 218, Springer Verlag, Berlin 1986, 192-211. | |
| [11] | (with K. Györy, T.N. Shorey, R. Tijdeman) Equal values of binary forms at integral points, Acta Arith. 48 (1987), 379-396. | |
| [12] | (with D. Chaum) A secure and privacy-protecting protocol for transmitting personal information between organizations, Proc. Crypto '86, A.M. Odlyzko, ed., Lecture Notes Comp. Sc. 218, Springer Verlag, Berlin 1986, 118-167. | |
| [13] | (with D. Chaum, J. v.d. Graaf, R. Peralta) Demonstrating possession of a discrete logarithm without revealing it, Proc. Crypto 86, pp. 200-212. | |
| [14] | (with K. Györy) Finiteness criteria for decomposable form equations, Acta Arith. 50 (1988), 357-379. | |
| [15] | (with K. Györy) On the number of polynomials and integral elements of given discriminant, Acta math. Hungar. 51 (1988), 341-362. | |
| [16] | (with K. Györy, C.L. Stewart, R. Tijdeman) S-unit equations in two unknowns, Invent. math. 92 (1988), 461-477. | |
| [17] | (with K. Györy, C.L. Stewart, R. Tijdeman) S-unit equations and their applications, Proc. Conf. Durham 1986, A. Baker, ed., Cambridge 1988, 110-174. | |
| [18] | (with K. Györy) Decomposable form equations, Proc. Conf. Durham 1986, 175-202. | |
| [19] | (with K. Györy) On the numbers of solutions of weighted unit equations, Compos. Math. 66 (1988), 329-354. | |
| [20] | (with D. Chaum, J. v.d. Graaf) An improved protocol for demonstrating possession of discrete logarithms and some generalizations, Proc. Eurocrypt 87, D. Chaum and W.L. Price, eds., Lecture Notes Comp. Sc. 304, Springer Verlag, Berlin, 1988, 127-142. | |
| [21] | Linear structures in blockciphers, Proc. Eurocrypt 87, 249-268. | |
| [22] | Linear structures in blockciphers (revised), CWI Quarterly 1 (1988), 19-42. | |
| [23] | (with I. Gaál, K. Györy) On the numbers of solutions of decomposable polynomial equations, Arch. Math. 52 (1989), 337-353. | |
| [24] | (with K. Györy) Thue-Mahler equations with a small number of solutions, J. reine angew. Math. 399 (1989), 60-80. | |
| [25] | (with K. Györy) On the number of solutions of unit equations and decomposable polynomial equations, Proc. Conf. Budapest 1987, K. Györy and G. Halász, eds., North Holland, Amsterdam, 1990, 671-696. | |
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Publications 1991-1995 |
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| [26] | (with K. Györy) Effective finiteness results for binary forms with given discriminant, Compositio Math. 79 (1991), 169-204. | |
| [27] | (with K. Györy) Some results on Thue equations and Thue-Mahler equations, Proc. Conf. Computational Number Theory Debrecen 1989, M. Pohst, H. Zimmer, eds., Walter de Gruyter&Co., Berlin, 1991, 295-302. | |
| [28] | (with E. van Heyst) Which new RSA signatures can be computed from some given RSA signatures? Proc. Eurocrypt 90, I.B. Damgård, ed., Lecture Notes Comp. Sc. 473, Springer Verlag, Berlin, 1991, pp. 83-97. | |
| [29] | (with K. Györy) Thue inequalities with a small number of solutions, In: The mathematical heritage of C.F. Gauss, G.M. Rassias, ed., World Scientific, Singapore, 1991, 204-224. | |
| [30] | (with B. Brindza, K. Györy) Bounds for the solutions of some Diophantine equations in terms of discriminants, J. Austral. math. Soc. (Ser. A) 51 (1991), 8-26. | |
| [31] | (with K. Györy) Effective finiteness theorems for decomposable forms of given discriminant, Acta Arith. 60 (1992), 233-277. | |
| [32] | (with K. Györy) Discriminants of decomposable forms, in: Analytic and probabilistic methods in number theory, F. Schweiger, E. Manstavicius, eds. VSP Int. Science Publ., Zeist, The Netherlands, 1992, 39-56. | |
| [33] | (with E. van Heyst) Which new RSA-signatures can be computed from certain given RSA-signatures?, J. Cryptology 5 (1992), 41-52. | |
| [34] | Reduced bases of lattices over number fields, Indag. Math. N.S. 3 (1992), 153-168. | |
| [35] | Decomposable form equations with a small linear scattering, J. reine angew. Math. 432 (1992), 177-217. | |
| [36] | Estimates for reduced binary forms, J. reine angew. Math. 434 (1993), 159-190. | |
| [37] | Estimates for discriminants and resultants of binary forms, in: Advances in Number Theory, Proc. CNTA 1991, F.Q. Gouvêa & N. Yui, eds., Clarendon Press, Oxford, 1993, 367-380. | |
| [38] | (with K. Györy): Lower bounds for resultants I, Compositio Math. 88 (1993), 1-23. | |
| [39] | (with E. van Heyst): Which new RSA-signatures can be computed from RSA-signatures, obtained in a specific interactive protocol? in: Proc. Eurocrypt 92, R. Rueppel, ed., Lecture Notes Comp. Sc. 658, Springer Verlag, Berlin, etc., 1993, 378-391. | |
| [40] | The Subspace theorem of W.M. Schmidt. In: Diophantine approximation and abelian varieties, proc. conf. Soesterberg 1992, S.J. Edixhoven, J.-H. Evertse, eds., Lecture Notes Math. 1566, Springer Verlag, 1993, pp. 31-50. | |
| [41] | An explicit version of Faltings' Product theorem
and an improvement of Roth's
lemma, Acta Arith. 73 (1995), 215-248.
Preprint: [ pdf] | |
| [42] | The number of solutions of decomposable form equations,
Invent. math. 122 (1995),
559-601. Preprint: [ pdf] | |
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Publications 1996-2000 |
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| [43] | An improvement of the quantitative Subspace theorem,
Compos. Math. 101 (1996),
225-311.
Preprint: [ pdf] | |
| [44] | (with
R. Tijdeman) Singular differences of powers of
2×2-matrices,
Compos. Math. 104 (1996), 199-216.
Preprint: [ pdf] | |
| [45] | The number of solutions of the Thue-Mahler equation,
J. reine angew. Math. 482 (1997), 121-149. Preprint: [ pdf] | |
| [46] | (with K. Györy): The number of families
of solutions of decomposable form
equations, Acta Arith. 80 (1997), 367-394.
Preprint: [ pdf] | |
| [47] | The number of algebraic numbers of given degree
approximating a given algebraic
number. In: Analytic Number Theory,
proc. conf. Kyoto 1996, Y. Motohashi, ed., pp. 53-84. London
Math. Soc. Lecture Note Ser. 247, Cambridge Un. Press, 1997.
Preprint: [ pdf] | |
| [48] | Lower bounds for
resultants II. In: Number Theory,
Diophantine, Computational and Algebraic Aspects, proc. conf.
Eger 1996, K. Györy,
A. Pethö,
V.T. Sós, eds., pp. 181-198.
Walter de Gruyter, 1998.
Preprint: [ pdf] | |
| [49] | The number of solutions of linear equations in roots of
unity. Acta Arith. 89 (1999), 45-51.
Preprint: [ pdf] | |
| [50] | (with
H.P. Schlickewei): The Absolute Subspace
Theorem and linear equations with unknowns from a multiplicative group.
In: Number Theory in progress, proc. conf. Zakopane 1997 in honour of the 60th
birthday of Prof. Andrzej Schinzel,
K. Györy, H. Iwaniec, J. Urbanowicz, eds.,
pp. 121-142. Walter de Gruyter, 1999. Preprint: [ pdf] | |
| [51] | Symmetric improvements of Liouville's inequality: A survey.
In: Algebraic Number Theory and Diophantine Analysis, Proc. conf. Graz, 1998, F. Halter-Koch, R.F. Tichy, eds.,
pp. 129-141. Walter de Gruyter, 2000. Preprint: [pdf] | |
| [52] | On the norm form inequality |F(x)|≤m,
Publ. Math. Debrecen 56 (2000),
337-374
(volume dedicated to the 60th birthday of prof. K. Györy).
Preprint: [pdf] | |
| [53] | Symmetric improvements of Liouville's inequality.
J. reine angew. Math. 527 (2000), 69-95.
Preprint: [pdf] | |
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Publications 2001-2005 |
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| [54] | (with R.G. Ferretti)
Diophantine inequalities on projective varieties.
Intern. Math. Res. Not. 2002:25 (2002), 1295-1330.
Preprint: [ps] | |
| [55] | (with
H.P. Schlickewei,
W.M. Schmidt)
Linear equations in variables which lie in a multiplicative group.
Ann. Math. 155 (2002), 1-30. Preprint: [pdf] Math. arXiv math.NT/0409604 | |
| [56] | (with
H.P. Schlickewei)
A quantitative version of the Absolute Subspace Theorem.
J. reine angew. Math. 548 (2002), 21-127. Preprint: [pdf] | |
| [57] | (with
N. Hirata-Kohno)
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, 2002, pp. 449-461.
Preprint: [pdf] | |
| [58] |
On resultant inequalities. Acta Arith. 105 (2002), 67-101. Preprint: [pdf] |
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| [59] | 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, Zurich, August 30-September 4, 1999,
Cambridge Univ. Press, 2002, pp. 214-230. Preprint: [pdf] | |
| [60] | (with
P. Moree,
C.L. Stewart,
R. Tijdeman)
Multivariate Diophantine equations with many solutions.
Acta Arith. 107 (2003), 103-125.
Preprint: [pdf] Math. arXiv math.NT/0107219 | |
| [61] | (with
A. Bérczes,
K. Györy)
On the number of equivalence classes of binary forms of given degree
and given discriminant.
Acta Arith. 113 (2004), 363-399.
Preprint: [pdf] Math. arXiv math.NT/0312234 | |
| [62] |
Linear equations with unknowns from a multiplicative group whose solutions
lie in a small number of subspaces.
Indag. Math. (NS) 15 (2004), 347-355.
Preprint: [pdf] Math. arXiv math.NT/0312235 | |
| [63] |
Distances between the conjugates of an algebraic number.
Publ. Math. Debrecen 65 (2004),
323-340 (special volume to the memory of Professor Béla Brindza).
Preprint: Math. arXiv math.NT/0408304 final version: [pdf] | |
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Publications 2006-2010 |
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| [64] | (with
A. Bérczes,
K. Györy)
On the number of pairs of binary forms with given degree
and given resultant, Acta Arith. 128 (2007), 19-54.
Preprint: [pdf] | |
| [65] | (with
A. Bérczes,
K. Györy)
Diophantine problems related to discriminants and resultants of binary forms,
In: Diophantine Geometry, Proceedings of a trimester
held from April-July 2005 at the Scuola Normale Superiore Pisa, U. Zannier, ed.,
Scuola Normale Superiore Pisa, 2007,
pp. 45-63.
Preprint: [pdf] | |
| [66] |
(with R.G. Ferretti)
A generalization of the Subspace Theorem with polynomials of higher degree.
In: Diophantine Approximation, Festschrift for Wolfgang Schmidt,
R.F. Tichy, H.P. Schlickewei, K. Schmidt (eds.),
Proceedings of a conference in honour of Prof. Wolfgang Schmidt's 70th birthday,
held in Vienna, October 6-10, 2003, Springer Verlag,
2008, pp. 175-198.
Preprint: [pdf] Math. arXiv math.NT/0408381 | |
| [67] |
(with
U. Zannier)
Linear equations with unknowns from a multiplicative group in a function field.
Acta Arithmetica 133 (2008), 157-170
(volume dedicated to
Wolfgang Schmidt
on the occasion of his 75th birthday).
Preprint: [pdf] Math. arXiv math.NT/0401231 | |
| [68] |
(with Y. Bugeaud)
On two notions of complexity of algebraic numbers.
Acta Arithmetica 133 (2008), 221-250
(volume dedicated to
Wolfgang Schmidt
on the occasion of his 75th birthday).
Preprint: [pdf] | |
| [69] |
(with
A. Bérczes,
K. Györy)
Effective results for linear equations in two unknowns from a multiplicative
division group. Acta Arith. 136 (2009), 331-349.
Preprint: [pdf] | |
| [70] |
(with
A. Bérczes,
K. Györy,
C. Pontreau)
Effective results for points on certain subvarieties of tori.
Math. Proc. Cambridge Philos. Soc. 147 (2009), 69-94
Final version: [pdf] (copyright Cambridge University Press) | |
| [71] |
(with Y. Bugeaud)
Approximation of complex algebraic numbers by algebraic numbers of bounded degree.
Ann. Scuola Norm. Sup. Pisa, Cl. Scienze (5) 8 (2009), 1-36.
Preprint: [pdf] | |
| [72] |
On the Quantitative Subspace Theorem.
Zapiski Nauchnyk Seminarov POMI 377 (2010), 217-240;
J. Math. Sciences 171 (2010), 824-837,
DOI:10.1007/s10958-010-0185-6
Preprint: [pdf] | |
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Publications 2011-2015 |
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| [73] |
A survey on monogenic orders. Dedicated to Kálmán Györy
on his 70th birthday.
Publ. Math. Debrecen 79 (3-4) (2011), 411-422, special volume in honour of
Kálmán Györy, Attila Pethö, János Pintz
and Andras Sarközy,
Preprint: [pdf] | |
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