Yuri F. Bilu

(Pre)Publications

  1. Yu. Bilu, A. Borichev, Remarks on Eisenstein, submitted.
  2. Yu. Bilu, D. Masser, U. Zannier, An effective "Theorem of André" for CM-points on a plane curve, submitted.
  3. Yu. Bilu, M. Strambi, A Surroca, Quantitative Chevalley-Weil Theorem for Curves, submitted; arXiv:0908.1233.
  4. Yu. Bilu, P. Parent, M. Rebolledo, Rational points on X0+ (pr), Ann. Inst. Fourier, to appear; arXiv:1104.4641.
  5. Yu. Bilu, M. Illengo, Effective Siegel's theorem for modular curves, Bull. London Math. Soc., 43 (2011), 673-688; arXiv:0905.0418.
  6. Yu. Bilu, P. Parent, Runge's Method and Modular Curves, Int. Math. Research Notes 2011, 1997-2027; pdf.
  7. Yu. Bilu, P. Parent, Serre's Uniformity Problem in the Split Cartan Case, Ann. Math. (2) 173 (2011), 569-584; arXiv:0807.4954.
  8. Yu.F. Bilu, M. Strambi, Quantitative Riemann existence theorem over a number field, Acta Arith. 145 (2010), 319-339; arXiv:0809.0345.
  9. P. Alvanos, Yu. Bilu, D. Poulakis, Characterizing algebraic curves with infinitely many integral points, Int. J. Number Th. 5 (2009), 585-590.
  10. Yu. Bilu, P. Parent, Integral j-invariants and Cartan structures for elliptic curves, C. R. Acad. Sci. Paris S. Math. Ser. I 346 (2008), 599-602.
  11. Yu.F. Bilu, The Many Faces of the Subspace Theorem (after Adamczewski, Bugeaud, Corvaja, Zannier...), Séminaire Bourbaki, Exposé 967, 59ème année (2006-2007); Astérisque 317 (2008), 1-38.
  12. Yu.F. Bilu, D. Masser, A quick proof of Sprindzhuk's decomposition theorem, More sets, graphs and numbers, 25-32, Bolyai Soc. Math. Stud. 15, Springer, Berlin, 2006.
  13. Yu.F. Bilu, Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu), J. Th. Nombres Bordeaux 17 (2005), 69-85.
  14. Yu.F. Bilu, F. Luca, Divisibility of class numbers: enumerative approach, J. reine angew. Math., 578 (2005), 79-91.
  15. Yu.F. Bilu, I. Gaál, K. Györy, Index form equations in sextic fields: a hard computation, Acta Arith. 115 (2004), 85-96.
  16. Yu.F. Bilu, M. Kulkarni, B. Sury, The Diophantine equation x(x+1)···(x+(m-1)) + r = yn, Acta Arith. 113 (2004), 303-308.
  17. Yu.F. Bilu, Catalan's conjecture (after Mihăilescu), Séminaire Bourbaki, Exposé 909, 55ème année (2002-2003); Astérisque 294 (2004), 1-26; pdf.
  18. Yu.F. Bilu, B. Brindza, P. Kirschenhofer, Á. Pintér, R.F. Tichy (with an appendix by A. Schinzel), Diophantine equations and Bernoulli polynomials, Compositio Math., 131 (2002), 173-188.
  19. Yu. Bilu, Baker's method and modular curves, A Panorama of Number Theory or The View from Baker's Garden (edited by G. Wustholz), 73-88, Cambridge University Press, 2002.
  20. Yu. Bilu, On Le's and Bugeaud's papers about the equation ax2+b2m-1 = 4cp, Monats. Math. 137 (2002), 1-3.
  21. Yu. Bilu, G. Hanrot, P. Voutier (with an appendix by M. Mignotte), Existence of primitive divisors of Lucas and Lehmer numbers, J. reine angew. Math. 539 (2001), 75–122.
  22. Yu.F. Bilu, T. Stoll, R.F. Tichy, Octahedrons with equally many lattice points, Period. Math. Hungar. 40 (2000), 229-238.
  23. Yu.F. Bilu, R.F. Tichy, The Diophantine equation f(x) = g(y), Acta Arith. 95 (2000), 261-288.
  24. Yu. Bilu, Ya. Bugeaud, Démonstration du théorème de Baker-Feldman via les formes linéaires en deux logarithmes, J. Th. Nombres Bordeaux 12 (2000), 13-23.
  25. Yu.F. Bilu, Ch.U. Liebendörfer, Das "Condorcet Jury Theorem", oder Demokratie mathematisch beleuchtet, UNI NOVA (Wissenschaftsmagazin Univ. Basel) 87 (2000), 14-18; ps, pdf.
  26. Yu. Bilu, Addition of integer sequences and subsets of real tori, in K. Györy, H. Iwaniec, J. Urbanowicz (eds.), Number Theory in Progress (Proc. Int. Conf. in Number Theory in Honor of A. Schinzel, Zakopane, 1997), W. de Gruyter, 1999; pp. 639-649.
  27. Yu. Bilu, Quadratic factors of f(x) - g(y), Acta Arith. 90 (1999), 341-355.
  28. Yu. Bilu, G. Hanrot, Thue equations with composite fields, Acta Arith. 88 (1999), 311-326.
  29. Yu. Bilu, Structure of sets with small sumsets, Astérisque 258 (1999), 77-108.
  30. Yu. Bilu, V.F. Lev, I.Z. Ruzsa, Rectification principles in the additive number theory, Discr. Comput. Geom. 19 (1998), 343-353.
  31. Yu. Bilu, G. Hanrot, Solving superelliptic Diophantine equations by Baker's method, Compositio Math. 112 (1998), 273-312.
  32. Yu. Bilu, The (α+2β)-inequality on the torus, J. London Math. Soc. 57 (1998), 513-528.
  33. Yu. Bilu, Sum-free sets and related sets, Combinatorica 18 (1998), 449-459.
  34. Yu. Bilu, Integral points on Galois covers, Mat. Contemp. 14 (1998), 1-11.
  35. Yu. Bilu, Limit distribution of small points on algebraic tori, Duke Math. J. 89 (1997), 465-476.
  36. Yu. Bilu, Addition of sets of integers of positive density, J. Number Th. 64 (1997), 233-275.
  37. Yu. Bilu, Quantitative Siegel's theorem for Galois coverings, Compositio Math. 106 (1997), 125-158.
  38. Yu. Bilu, A note on universal Hilbert sets, J. reine angew. Math. 479 (1996), 195-203.
  39. Yu. Bilu, G. Hanrot, Solving Thue equations of high degree, J. Number Th. 60 (1996), 373-392.
  40. D. Berend, Yu. Bilu, Polynomials with roots modulo every integer, Proc. Amer. Math. Soc. 124 (1996), 1663-1671.
  41. Yu. Bilu, Effective analysis of integral points on algebraic curves, Israel J. Math. 90 (1995), 235-252.
  42. Yu. Bilu, Solving superelliptic Diophantine equations by the method of Gelfond-Baker, Mathématiques Stochastiques, Univ. Bordeaux 2, Preprint 94-09, Bordeaux, 1994.
  43. Yu. Bilu (Belotserkovski), Diophantine equations and units of algebraic function fields (Russian), Vestsi Akad. Navuk BSSR, Ser. Fiz.-Math. Navuk, 1991, no. 6, 114.
  44. Yu. Bilu (Belotserkovski), Effective analysis of a new class of Diophantine equations (Russian), Vestsi Akad. Navuk BSSR, Ser. Fiz.-Math. Navuk, 1988, no. 6, 34-39, 125 (Mathematical Reviews 90d:11038)
  45. Yu. Bilu (Belotserkovski), Effective analysis of a class of Diophantine equations (Russian), Vestsi Akad. Navuk BSSR, Ser. Fiz.-Math. Navuk, 1988, no. 3, 111-115 (Mathematical Reviews 89i:11039).
  46. Yu. Bilu (Belotserkovski), Uniform distribution of algebraic numbers near the unit circle (Russian), Vestsi Akad. Navuk BSSR, Ser. Fiz.-Math. Navuk, 1988, no. 1, 49-52, 124 (Mathematical Reviews 89f:11110).

    47. Theses

  47. Yu. Bilu, Effective Analysis of Integral Points on Algebraic Curves, Ph. D. Thesis, Beer Sheva, 1993; dvi, ps, pdf.
  48. Yu. Bilu, Diophantine Analysis and Additive Theory, Habilitation Thesis, Basel, 2000; dvi, ps, pdf.


    49. December 12, 2011