| Hilbert's tenth problem: Diophantine classes and extensions to global fields A Shlapentokh Cambridge University Press, 2007 | 96 | 2007 |
| A computable functor from graphs to fields R Miller, B Poonen, H Schoutens, A Shlapentokh The Journal of Symbolic Logic 83 (1), 326-348, 2018 | 69 | 2018 |
| Diophantine relationships between algebraic number fields HN Shapiro, A Shlapentokh Communications on Pure and Applied Mathematics 42 (8), 1113-1122, 1989 | 66 | 1989 |
| Extension of Hilbert's tenth problem to some algebraic number fields A Shlapentokh Communications on Pure and Applied Mathematics 42 (7), 939-962, 1989 | 62 | 1989 |
| Hilbert's tenth problem over number fields, a survey A Shlapentokh Contemporary Mathematics 270, 107-138, 2000 | 49 | 2000 |
| Diophantine classes of holomorphy rings of global fields A Shlapentokh Journal of Algebra 169 (1), 139-175, 1994 | 43 | 1994 |
| Diophantine undecidability over algebraic function fields over finite fields of constants A Shlapentokh Journal of Number Theory 58 (2), 317-342, 1996 | 40 | 1996 |
| Computable categoricity for algebraic fields with splitting algorithms R Miller, A Shlapentokh Transactions of the American Mathematical Society 367 (6), 3955-3980, 2015 | 36 | 2015 |
| Hilbert’s tenth problem for algebraic function fields over infinite fields of constants of positive characteristic A Shlapentokh Pacific Journal of Mathematics 193 (2), 463-500, 2000 | 36 | 2000 |
| Diophantine definability over some rings of algebraic numbers with infinite number of primes allowed in the denominator A Shlapentokh Inventiones Mathematicae 129, 489-507, 1997 | 36 | 1997 |
| Diophantine definability and decidability in large subrings of totally real number fields and their totally complex extensions of degree 2 A Shlapentokh Journal of Number Theory 95 (2), 227-252, 2002 | 31 | 2002 |
| Defining integrality at prime sets of high density in number fields A Shlapentokh | 30 | 2000 |
| Hilbert’s tenth problem for rings of algebraic functions in one variable over fields of constants of positive characteristic A Shlapentokh Transactions of the American Mathematical Society 333 (1), 275-298, 1992 | 29 | 1992 |
| Diophantine definability of infinite discrete nonarchimedean sets and Diophantine models over large subrings of number fields B Poonen, A Shlapentokh Walter de Gruyter 2005 (588), 27-47, 2005 | 27 | 2005 |
| Elliptic curves retaining their rank in finite extensions and Hilbert’s tenth problem for rings of algebraic numbers A Shlapentokh Transactions of the American Mathematical Society 360 (7), 3541-3555, 2008 | 25 | 2008 |
| Turing degrees of isomorphism types of algebraic objects W Calvert, V Harizanov, A Shlapentokh Journal of the London Mathematical Society 75 (2), 273-286, 2007 | 23 | 2007 |
| A ring version of Mazur's conjecture on topology of rational points A Shlapentokh International Mathematics Research Notices 2003 (7), 411-423, 2003 | 22 | 2003 |
| Diophantine undecidability in some rings of algebraic numbers of totally real infinite extensions of Q A Shlapentokh Annals of Pure and Applied Logic 68 (3), 299-325, 1994 | 22 | 1994 |
| The analogue of Büchi's Problem for function fields A Shlapentokh, X Vidaux Journal of Algebra 330 (1), 482-506, 2011 | 19 | 2011 |
| Undecidability in function fields of positive characteristic K Eisenträger, A Shlapentokh International Mathematics Research Notices 2009 (21), 4051-4086, 2009 | 19 | 2009 |
Russell MillerProfessor of Mathematics, City University of New YorkGeverifieerd e-mailadres voor qc.cuny.edu
