Théorie des nombres

Yuri F. BILU

UFR Mathématiques et Informatique Institut de Mathématiques

Dieses Haus hat zwei Ausgänge;
ich benutze den dritten.
(Günter Grass)

Professor of mathematics at the University of Bordeaux I

CV   Publications   Genealogy   ALGANT

Exercices du cours Théorie analytique des nombres
année 2007/08    année 2008/09    année 2009/10

Exercises in Number Theory
Fall semester 2009

Selected publications

  1. Yu. Bilu, M. Illengo, Effective Siegel's theorem for modular curves, arXiv:0905.0418.
  2. Yu. Bilu, P. Parent, Runge's Method and Modular Curves, Int. Math. Research Notes, to appear; arXiv:0907.3306.
  3. Yu. Bilu, P. Parent, Serre's Uniformity Problem in the Split Cartan Case, Ann. Math. (2), to appear; arXiv:0807.4954.
  4. 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; pdf.
  5. Yu.F. Bilu, Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu), J. Th. Nombres Bordeaux 17 (2005), 69-85. pdf
  6. Yu.F. Bilu, F. Luca, Divisibility of class numbers: enumerative approach, J. reine angew. Math., 578 (2005), 79-91.
  7. Yu.F. Bilu, Catalan's conjecture (after Mihăilescu), Séminaire Bourbaki, Exposé 909, 55ème année (2002-2003); Astérisque 294 (2004), 1-26. dvi, ps, pdf.
  8. Yu. Bilu, Baker's method and modular curves, A Panorama of Number Theory or The View from Baker’s Garden (edited by G. Wüstholz), Cambridge University Press 2002; pp. 73-88.
  9. 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.
  10. Yu.F. Bilu, R.F. Tichy, The Diophantine equation f (x) = g (y), Acta Arith. 95 (2000), 261-288.
  11. Yu. Bilu, Y. Bugeaud, Démonstration du théorème de Baker-Feldman via les formes linéaires en deux logarithmes, J. Th. Nombres Bordeaux 12 (2000), 13-23; ps.
  12. Yu. Bilu, Structure of sets with small sumsets, Astérisque 258 (1999), 77-108.
  13. Yu. Bilu, The (α+2β)-inequality on the torus, J. London Math. Soc. 57 (1998), 513-528.
  14. Yu. Bilu, Limit distribution of small points on algebraic tori, Duke Math. J. 89 (1997), 465-476.
  15. Yu. Bilu, G. Hanrot, Solving Thue equations of high degree, J. Number Th. 60 (1996), 373-392.
    16. I have seen wicked men and fools, a great many of both; and I believe they both get paid in the end; but the fools first.
    (Robert Louis Stevenson, "Kidnapped", Ch. XIV)  
    		 The man who never alters his opinion is like standing water, & breeds reptiles of the mind.
    (William Blake, "The Marriage of Heaven and Hell")

    A2X, Université Bordeaux I 
    351, cours de la Libération 
    33 405 Talence cedex, France 
    yuri@math.u-bordeaux1.fr      		+33 (0)5 40 00 69 62 (office)
    +33 (0)5 56 91 59 97 (home)
    +33 (0)6 64 47 60 92 (cellular)
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    Last update: August 3, 2009