Théorie des nombres

Yuri F. BILU

Institut de Mathématiques

Professor of mathematics at the University of Bordeaux

  • Selected publications







THUE 150







  1. Yu. Bilu, Y. Bugeaud, M. Mignotte, The Problem of Catalan, Springer, 2014.
  2. Yu. Bilu, P. Habegger, L. Kühne, No Singular Modulus Is a Unit, IMRN (2018), doi.
  3. Yu. Bilu, L. Kühne, Linear Equations in Singular Moduli, IMRN (2018); doi.
  4. Yu. Bilu, J.-M. Deshouillers, S. Gun, F. Luca, Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms, Compositio Math. 154 (2018), 2441-2461.
  5. Yu. Bilu, F. Luca, Diversity in Parametric Families of Number Fields, in: C. Elsholtz, P. Grabner (eds), Number Theory - Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy’s 60th Birthday, 169-191, Springer, 2017.
  6. B. Allombert, Yu. Bilu, A. Pizarro-Madariaga, CM-Points on Straight Lines, in: C. Pomerance, M. Rassias (eds.), Analytic Number Theory In Honor of Helmut Maier’s 60th Birthday, 1-18, Springer, 2015.
  7. Yu. Bilu, P. Parent, M. Rebolledo, Rational points on X0+ (pr), Ann. Inst. Fourier 63 (2013), 957-984.
  8. Yu. Bilu, P. Parent, Serre's Uniformity Problem in the Split Cartan Case, Ann. Math. (2) 173 (2011), 569-584.
  9. 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.
  10. Yu.F. Bilu, F. Luca, Divisibility of class numbers: enumerative approach, J. reine angew. Math. 578 (2005), 79-91.
  11. Yu.F. Bilu, Catalan's conjecture (after Mihăilescu), Séminaire Bourbaki, Exposé 909, 55ème année (2002-2003); Astérisque 294 (2004), 1-26.
  12. 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.
  13. 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.
  14. Yu.F. Bilu, R.F. Tichy, The Diophantine equation f (x) = g (y), Acta Arith. 95 (2000), 261-288.
  15. 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.
  16. Yu. Bilu, Structure of sets with small sumsets, Astérisque 258 (1999), 77-108.
  17. Yu. Bilu, The (α+2β)-inequality on the torus, J. London Math. Soc. 57 (1998), 513-528.
  18. Yu. Bilu, Limit distribution of small points on algebraic tori, Duke Math. J. 89 (1997), 465-476.
  19. Yu. Bilu, G. Hanrot, Solving Thue equations of high degree, J. Number Th. 60 (1996), 373-392.

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")
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Last update: January 4, 2020