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Athanasios Pheidas
Athanasios Pheidas
Professor of Mathematics
Verified email at math.uoc.gr - Homepage
Title
Cited by
Cited by
Year
Hilbert's tenth problem for fields of rational functions over finite fields
T Pheidas
Inventiones mathematicae 103 (1), 1-8, 1991
1081991
Undecidability of existential theories of rings and fields: a survey
T Pheidas, K Zahidi
Contemporary Mathematics 270, 49-106, 2000
922000
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
791988
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
462000
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
352010
Extensions of Hilbert's tenth problem
T Pheidas
The Journal of Symbolic Logic 59 (2), 372-397, 1994
351994
An undecidability result for power series rings of positive characteristic. II
T Pheidas
Proceedings of the American Mathematical Society 100 (3), 526-530, 1987
351987
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
322005
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
282005
Undecidable existential theories of polynomial rings and function fields
T Pheidas, K Zahidi
Communications in Algebra 27 (10), 4993-5010, 1999
251999
An effort to prove that the existential theory of Q is
T Pheidas
Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry …, 2000
212000
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
201995
Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic
T Pheidas
Journal of algebra 273 (1), 395-411, 2004
192004
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
162008
Decidability and local-global principles
L Darniere
Contemporary Mathematics 270, 145-168, 2000
132000
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
112004
Decision problems in Algebra and analogues of Hilbert's tenth problem
T Pheidas, K Zahidi
LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES 350, 207, 2008
92008
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
72014
The diophantine problem for addition and divisibility in polynomial rings
T Pheidas
Thesis, Purdue Univ, 1985
71985
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