Hilbert's tenth problem for fields of rational functions over finite fields T Pheidas Inventiones mathematicae 103 (1), 1-8, 1991 | 108 | 1991 |
Undecidability of existential theories of rings and fields: a survey T Pheidas, K Zahidi Contemporary Mathematics 270, 49-106, 2000 | 92 | 2000 |
Hilbert’s tenth problem for a class of rings of algebraic integers T Pheidas Proceedings of the American Mathematical Society 104 (2), 611-620, 1988 | 79 | 1988 |
Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry: Relations with Arithmetic and Algebraic Geometry: Workshop on Hilbert's Tenth Problem: Relations with … J Denef American Mathematical Soc., 2000 | 46 | 2000 |
A survey on Büchi’s problem: new presentations and open problems H Pasten, T Pheidas, X Vidaux Journal of Mathematical Sciences 171, 765-781, 2010 | 35 | 2010 |
Extensions of Hilbert's tenth problem T Pheidas The Journal of Symbolic Logic 59 (2), 372-397, 1994 | 35 | 1994 |
An undecidability result for power series rings of positive characteristic. II T Pheidas Proceedings of the American Mathematical Society 100 (3), 526-530, 1987 | 35 | 1987 |
Division-ample sets and the Diophantine problem for rings of integers G Cornelissen, T Pheidas, K Zahidi Journal de théorie des nombres de Bordeaux 17 (3), 727-735, 2005 | 32 | 2005 |
The analogue of Büchi's problem for rational functions T Pheidas, X Vidaux Journal of The London Mathematical Society 74 (3), 545-565, 2006 | 28* | 2006 |
Extensions of Büchi’s problem: Questions of decidability for addition and n-th powers T Pheidas, X Vidaux Fund. Math 185 (2), 171-194, 2005 | 28 | 2005 |
Undecidable existential theories of polynomial rings and function fields T Pheidas, K Zahidi Communications in Algebra 27 (10), 4993-5010, 1999 | 25 | 1999 |
An effort to prove that the existential theory of Q is T Pheidas Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry …, 2000 | 21 | 2000 |
An analogue of Hilbert's tenth problem for p-adic entire functions L Lipshitz, T Pheidas The Journal of Symbolic Logic 60 (4), 1301-1309, 1995 | 20 | 1995 |
Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic T Pheidas Journal of algebra 273 (1), 395-411, 2004 | 19 | 2004 |
The analogue of Büchi’s problem for cubes in rings of polynomials T Pheidas, X Vidaux Pacific Journal of Mathematics 238 (2), 349-366, 2008 | 16 | 2008 |
Decidability and local-global principles L Darniere Contemporary Mathematics 270, 145-168, 2000 | 13 | 2000 |
Elimination theory for addition and the Frobenius map in polynomial rings T Pheidas, K Zahidi The Journal of Symbolic Logic 69 (4), 1006-1026, 2004 | 11 | 2004 |
Decision problems in Algebra and analogues of Hilbert's tenth problem T Pheidas, K Zahidi LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES 350, 207, 2008 | 9 | 2008 |
Uniform existential interpretation of arithmetic in rings of functions of positive characteristic H Pasten, T Pheidas, X Vidaux Inventiones mathematicae 196 (2), 453-484, 2014 | 7 | 2014 |
The diophantine problem for addition and divisibility in polynomial rings T Pheidas Thesis, Purdue Univ, 1985 | 7 | 1985 |