Skip to the content of the web site.

Yu-Ru Liu

Publications

  1. The Turán sieve method and some of its applications, (with M.R. Murty), J. Ramanujan Math. Soc. 14 (1999), 21-35.
  2. The Erdös theorem and the Halberstam theorem in function fields, Acta Arith. 114 (2004), 323-330.
  3. A generalization of the Turán theorem and its applications, Canad. Math. Bull. 47(4) (2004), 573-588.
  4. A generalization of the Erdös-Kac theorem and its applications, Canad. Math. Bull. 47(4) (2004), 589-606.
  5. Sieve methods in combinatorics (with M.R. Murty), J. Combinatorial Theory Series A 111 (2005), 1-23.
  6. Prime divisors of the number of rational points on elliptic curves with complex multiplication, Bull. London Math. Soc. 37 (2005), 658-664.
  7. A prime analogue to Erdös-Pomerance's conjecture for elliptic curves, Comment. Math. Helv. 80 (2005), 755-769.
  8. A weighted Turán sieve method (with M.R. Murty), J. of Number Theory, 116 (2006), 1-20.
  9. Prime analogues of the Erdös-Kac theorem for elliptic curves, J. of Number Theory, 119 (2006), 155-170.
  10. The unrestricted variant of Waring's problem in function fields (with T. D. Wooley), Funct. Approx. Comment. Math. 37 (2007), 285-292.
  11. The Erdös-Kac theorem and its generalizations, The anatomy of integers (with W. Kuo), CRM Proceedings & Lecture Notes 46 (2008), 209-216.
  12. A Carlitz module analogue of a conjecture of Erdös and Pomerance (with W. Kuo), Trans. Amer. Math. Soc. 361 (2009), 4519-4539.
  13. A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression (with C. V. Spencer), Des. Codes Cryptogr. 52 (2009), 83-91.
  14. Gaussian laws on Drinfeld modules (with W. Kuo), to appear in Int. J. Number Theory, 23 pp.
  15. Cyclicity of finite Drinfeld modules (with W. Kuo), to appear in J. London Math. Soc., 19 pp.
  16. A generalization of Roth's theorem in function fields (with C. V. Spencer), to appear in Int. J. Number Theory, 7 pp.
  17. Waring's problem in function fields (with T. D. Wooley), to appear in J. Reine Angew. Math., 70 pp.



Last Modified:  Tuesday 17 November 2009
XHTML CSS W3C-WAI