Research interests

Nevanlinna Theory (complex and p-adic)

p-Adic analysis

L-functions

History of Mathematics

Education

M.S, 1967: Hanoi University
Ph. D., 1978: Steklov Mathematical Institute, Moscow.
Dr. Sc., 1984: Steklov Mathematical Institute, Moscow.
Associate Professor, 1983, Institute of Mathematics, VAST - Professor, 1991, Institute of Mathematics, VAST

Honors and awards

Fellow, The Third World Academy of Science, elected 2004.

Publications

1. Ha Huy Khoai and Vu Hoai An, On uniqueness for meromorphic functions and their nth derivatives, Annales Univ. Sci. Budapest., Sect. Comp. 47 (2018)
2. Ha Huy Khoai, Vu Hoai An, Nguyen Xuan Lai, Strong uniqueness polynomials of degree 6 and unique range sets for powers of meromorphic functions International J. Math., 2018

3. Ha Huy Khoai, Vu Hoai An, Nguyen Xuan Lai, Value-sharing and uniqueness problems for non-Archimedean differential polynomials in several variables, Complex Variables and Elliptic Equations 63 2018 233-249

4. VH An, PN Hoa, HH Khoai . Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field. p-Adic Numbers, Ultrametric Analysis and Applications, 2017, Vol. 9, No.1, pp. 1–14.

5. Ha Huy Khoai, Vu Hoai An, and Pham Ngoc Hoa, On functional equations for meromorphic functions and applications, Archiv der Mathematik 109 2017 539–549
6. (with Vu Hoai An and Le Quang Ninh) Uniqueness Theorems for Holomorphic Curves with Hypersurfaces of Fermat–Waring Type, Complex Analysis and Operator Theory, 8 (2014), 1747-1759.

7. On contemporary Mathematics in Vietnam. Springer Proceedings in Mathematics & Statistics, 39 (2013), 375-383.
8. (with Vu Hoai An and Nguyen Xuan Lai) Value sharing problem and uniqueness for $p$-adic meromorphic functions, Annales Univ. Sci. Budapest., Sect. Comp., 38 (2012), 57 — 70.

9. (with Vu Hoai An) Value-sharing problem for $p$ – adic meromorphic functions and their difference operators and difference polynomials, Ukrain. Math. J, 64 (2012), 147 — 164.
10. (with Vu Hoai An) Value distribution problem for p-adic meromorphic functions and their derivatives, Annales de la Faculte des Sciences de Toulouse, T. 20 (2011), 137-151.

11. On complex analysis in Vietnam,Acta Math. Vietnamica, 35 (2010), 1 — 6. 12. (with Ta Thi Hoai An) A survey on uniqueness polynomials and unique range sets. In: Some topics on value distribution and differentiability in complex and p-adic analysis., 143-163; Math. Monogr. Ser., 11, Sci. Press Beijing, 2008.
13. Unique range sets and decomposition of meromorphic functions. In: Singularities I, 95 – 105, Contemp. Math. 474, Amer. Math. Soc., Providence, RI, 2008.
14. Some remarks on the genericity of unique range sets for meromorphic functions. Sci. China Ser. A 48 (2005), suppl., 262 – 267.
15. p-adic Fatou-Bieberbach maps. Inter. J. Math. 16 (2005), N0 3, 303 – 306.
16. (with C. C. Yang) On the functional equation P(f) = Q(g), In: Value distribution theory. Kluwer Acad. Publ. Dordrecht 2004, 201 – 207.
17. (với P. H. Điển) Mã hoá thông tin: cơ sở toán học và ứng dụng (in Vietnamese). NXB Đại học Quốc gia Hà Nội, 2004.
18. (with L. T. H. Thu) p-adic interpolation and applications. In: Finite or infinite dimensional complex analysis and applications, 143 – 151. Adv. Complex Anal. Appl. 2, Kluwer Acad. Publ., Dordrecht, 2004.
19. (với P. H. Điển) Số học thuật toán: cơ sở lý thuyết và tính toán thực hành (in Vietnamese). NXB Đại học Quốc gia Hà Nội, 2003.
20. (with T. T. H. An) Uniqueness problem with truncated multiplicities for meromorphic functions on a non-Archimedean field. Southeast Asian Bull. Math. 27 (2003), N0 3, 477 – 486.
21. (with V. H. An) Value distribution for p-adic hypersurfaces. Taiwanese J. Math. 7 (2003), N0 1, 51 – 67.
22. A survey on the p-adic Nevanlinna theory and recent articles. Dedicated to the memory of Le Van Thiem (Hanoi, 1998). Acta Math. Vietnam. 27 (2002), N0 3, 321 – 332.
23. (with T. T. H. An) On uniqueness polynomials and bi-URSfor p-adic meromorphic functions. J. Number Theory 87 (2001), N0 2, 211 – 221.
24. Hyperbolic surfaces in P3(C), Proc. Amer. Math. Soc. 125 (1997), 3527 – 3532.
25. p-adic hyperbolic surfaces. Acta Math. Vietnam. 22 (1997), N0 2, 99 – 112. 7
26. Borel curves in projective hypersurfaces. Publ. Center Funct. Complex Anal. 1 (1997), 79 – 86.
27. An algebraic characterization of complex hyperbolic spaces. Vietnam J. Math. 25 (1997), N0 2, 175 – 178.
28. Introduction to algorithmic arithmetic (in Vietnamese) – Nhập môn số học thuật toán. NXB Khoa học và Kĩ thuật 1997.
29. Recent work on hyperbolic spaces. Vietnam J. Math. 25 (1997), N0 1, 1 – 13.
30. Théorie de Nevanlinna et problèmes Diophantiens. Vietnam J. Math. (1995), 25 – 52.
31. (with M. V. Tu) p-adic Nevanlinna-Cartan theorem. Internat. J. Math 6 (1995), 710 – 731.
32. Heights for p-adic holomorphic functions and applications. In: Proceedings of the International Symposium on Holomorphic mappings, Diophantine Geometry and Related topics, RIMS Lecture Note 819 (1993), 96 – 105.
33. (with N. V. Khue) Finite codimensional subalgebras of Stein algebras and semiglobally Stein algebras. Trans. AMS (1992), 503 – 509.
34. Heights for p-adic meromorphic functions and value distribution theory. Vietnam. J. Math 20:1 (1992), 14 – 29.
35. Sur les series L associées aux formes modulaires. Bull. Soc. math. France 120 (1992), 1 – 13.
36. La hauteur d’une suite de points dans Cpk et l’interpolation des fonctions holomorphes de plusieurs variables. C. R. A. Sc. Paris 312 (1991), 903 – 905.
37. La hauteur des fonctions holomorphes p-adiques de plusieurs variables. C. R. A. Sc. Paris 312 (1991), 751 – 754.
38. Sur le théorème de Morera p-adique. Univ. Paris 7, Groupe d’Etude d’Analyse Ultramétrique, 15-ème année, 1987-1988, 29 – 34.
39. Sur la théorie de Nevanlinna p-adique. Univ. Paris 7, Groupe d’Etude d’Analyse Ultramétrique, 15-ème année, 1987-1988, 35 – 39.
40. (with M. V. Quang), p-adic Nevanlinna theory. Lecture Notes in Math. 1351, 138 – 152.
41. p-adic analysis and arithmetic functions. Proc. of the 3-rd Congress of Math. Hanoi, 1985 (in Vietnamese).

42. (with H. Tuy, N. V. Khue and N. X. My). Introduction to algebra and topology. two volumes (in Vietnamese) – Nhập môn Đại số và Tôpô. NXB Bộ Đại học 1984.
43. p-adic analysis and p-adic L-functions associated to modular forms. Dr. Sc. Thesis, Steklov Math. Inst., Moscow 1983 (in Russian).
44. p-adic Interpolation and continuation of p-adic functions. Lecture Notes in Math. 1013 (1983), 252 – 265.
45. On p-adic meromorphic functions. Duke Math. J. 50 (1983), N0 3, 695 – 711.
46. p-adic interpolation and the Mellin-Mazur transform. Acta Math. Vietnam 5 (1980), N0 1, 77 – 99.
47. On p-adic L-functions associated to elliptic curves. Mat. Zametki 26:2 (1979), (in Russian). AMS translation: Math. Notes 26 (1980), 629-634. 48. On p-adic interpolation. Mat. Zametki, 26:1 (1979). AMS translation Math. Notes 26 (1980), 541 – 549 (in Russian).
49. Sur une conjecture de Mazur et Swinnerton-Dyer. C. R. A. Sc. Paris 289 (1979), N0 9, A483 – A485.
50. p-adic interpolation and the Mellin-Mazur transform. Ph. D. Thesis, Steklov Math. Inst., Moscow, 1978 (in Russian).
51. (with N. V. Khue). Holomorphic mappings on Banach analytic manifolds. Func. Analyz i ego Priloz. 4:4 (1973), (in Russian).
52. Finitely extension property of holomorphic functions on analytic sets. Vietnam. Math. J. 1 (1973) (in Vietnamese).
53. Finiteness for complex analytic spaces. Vietnam. Math. J. 1 (1973), (in Vietnamse).
54. (with N. V. Khue). Holomorphic mappings on Banach analytic manifolds. Acta Scientiarum Vietnam. 1971, (in Russian).