# zbMATH — the first resource for mathematics

## Pheidas, Thanases

Compute Distance To:
 Author ID: pheidas.thanases Published as: Pheidas, T.; Pheidas, Thanases
 Documents Indexed: 22 Publications since 1987, including 1 Book Reviewing Activity: 76 Reviews
all top 5

#### Co-Authors

 9 single-authored 6 Vidaux, Xavier 5 Zahidi, Karim 2 Lipshitz, Leonard 2 Pasten, Hector V. 1 Cornelissen, Gunther 1 Denef, Jan 1 Van Geel, Jan
all top 5

#### Serials

 3 The Journal of Symbolic Logic 3 Proceedings of the American Mathematical Society 2 Fundamenta Mathematicae 2 Inventiones Mathematicae 1 Communications in Algebra 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Contemporary Mathematics
all top 5

#### Fields

 18 Mathematical logic and foundations (03-XX) 18 Number theory (11-XX) 11 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX)

#### Citations contained in zbMATH Open

21 Publications have been cited 177 times in 87 Documents Cited by Year
Hilbert’s tenth problem for fields of rational functions over finite fields. Zbl 0696.12022
Pheidas, Thanases
1991
Undecidability of existential theories of rings and fields: A survey. Zbl 0981.03013
Pheidas, Thanases; Zahidi, Karim
2000
Hilbert’s tenth problem for a class of rings of algebraic integers. Zbl 0697.12020
Pheidas, Thanases
1988
A survey on Büchi’s problem: new presentations and open problems. Zbl 1282.11015
Pasten, H.; Pheidas, T.; Vidaux, X.
2010
The analogue of Büchi’s problem for rational functions. Zbl 1109.03032
Pheidas, Thanases; Vidaux, Xavier
2006
Division-ample sets and the Diophantine problem for rings of integers. Zbl 1161.11323
Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim
2005
An undecidability result for power series rings of positive characteristics. II. Zbl 0664.03008
Pheidas, Thanases
1987
Undecidable existential theories of polynomial rings and function fields. Zbl 0934.03014
Pheidas, Thanases; Zahidi, Karim
1999
Extensions of Büchi’s problem: Questions of decidability for addition and $$k$$th powers. Zbl 1079.03005
Pheidas, Thanases; Vidaux, Xavier
2005
Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034
Denef, Jan (ed.); Lipshitz, Leonard (ed.); Pheidas, Thanases (ed.); Van Geel, Jan (ed.)
2000
An analogue of Hilbert’s tenth problem for $$p$$-adic entire functions. Zbl 0849.03007
Lipshitz, Leonard; Pheidas, Thanases
1995
Extensions of Hilbert’s tenth problem. Zbl 0812.11071
Pheidas, Thanases
1994
The analogue of Büchi’s problem for cubes in rings of polynomials. Zbl 1151.03004
Pheidas, Thanases; Vidaux, Xavier
2008
Uniform existential interpretation of arithmetic in rings of functions of positive characteristic. Zbl 1327.03009
Pasten, Hector; Pheidas, Thanases; Vidaux, Xavier
2014
Elimination theory for addition and the Frobenius map in polynomial rings. Zbl 1093.03019
Pheidas, Thanases; Zahidi, Karim
2004
Diophantine undecidability for addition and divisibility in polynomial rings. Zbl 1058.03019
Pheidas, Thanases
2004
An effort to prove that the existential theory of $$\mathbb Q$$ is undecidable. Zbl 0981.03014
Pheidas, Thanases
2000
Decision problems in algebra and analogues of Hilbert’s tenth problem. Zbl 1167.03008
Pheidas, Thanases; Zahidi, Karim
2008
Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic. Zbl 1035.11064
Pheidas, Thanases
2004
An undecidability result for power series rings of positive characteristic. Zbl 0639.03009
Pheidas, Thanases
1987
The diophantine theory of a ring of analytic functions. Zbl 0819.03003
Pheidas, Thanases
1995
Uniform existential interpretation of arithmetic in rings of functions of positive characteristic. Zbl 1327.03009
Pasten, Hector; Pheidas, Thanases; Vidaux, Xavier
2014
A survey on Büchi’s problem: new presentations and open problems. Zbl 1282.11015
Pasten, H.; Pheidas, T.; Vidaux, X.
2010
The analogue of Büchi’s problem for cubes in rings of polynomials. Zbl 1151.03004
Pheidas, Thanases; Vidaux, Xavier
2008
Decision problems in algebra and analogues of Hilbert’s tenth problem. Zbl 1167.03008
Pheidas, Thanases; Zahidi, Karim
2008
The analogue of Büchi’s problem for rational functions. Zbl 1109.03032
Pheidas, Thanases; Vidaux, Xavier
2006
Division-ample sets and the Diophantine problem for rings of integers. Zbl 1161.11323
Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim
2005
Extensions of Büchi’s problem: Questions of decidability for addition and $$k$$th powers. Zbl 1079.03005
Pheidas, Thanases; Vidaux, Xavier
2005
Elimination theory for addition and the Frobenius map in polynomial rings. Zbl 1093.03019
Pheidas, Thanases; Zahidi, Karim
2004
Diophantine undecidability for addition and divisibility in polynomial rings. Zbl 1058.03019
Pheidas, Thanases
2004
Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic. Zbl 1035.11064
Pheidas, Thanases
2004
Undecidability of existential theories of rings and fields: A survey. Zbl 0981.03013
Pheidas, Thanases; Zahidi, Karim
2000
Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034
Denef, Jan (ed.); Lipshitz, Leonard (ed.); Pheidas, Thanases (ed.); Van Geel, Jan (ed.)
2000
An effort to prove that the existential theory of $$\mathbb Q$$ is undecidable. Zbl 0981.03014
Pheidas, Thanases
2000
Undecidable existential theories of polynomial rings and function fields. Zbl 0934.03014
Pheidas, Thanases; Zahidi, Karim
1999
An analogue of Hilbert’s tenth problem for $$p$$-adic entire functions. Zbl 0849.03007
Lipshitz, Leonard; Pheidas, Thanases
1995
The diophantine theory of a ring of analytic functions. Zbl 0819.03003
Pheidas, Thanases
1995
Extensions of Hilbert’s tenth problem. Zbl 0812.11071
Pheidas, Thanases
1994
Hilbert’s tenth problem for fields of rational functions over finite fields. Zbl 0696.12022
Pheidas, Thanases
1991
Hilbert’s tenth problem for a class of rings of algebraic integers. Zbl 0697.12020
Pheidas, Thanases
1988
An undecidability result for power series rings of positive characteristics. II. Zbl 0664.03008
Pheidas, Thanases
1987
An undecidability result for power series rings of positive characteristic. Zbl 0639.03009
Pheidas, Thanases
1987
all top 5

#### Cited by 61 Authors

 24 Shlapentokh, Alexandra 11 Pasten, Hector V. 8 Pheidas, Thanases 7 Vidaux, Xavier 6 Eisenträger, Kirsten 5 Demeyer, Jeroen 4 Myasnikov, Alexei G. 3 Garcia-Fritz, Natalia 3 Kharlampovich, Olga G. 3 Sirokofskich, Alla 3 Zahidi, Karim 2 Cerda-Romero, Leonidas 2 Kim, Ki Hang 2 Martinez-Ranero, Carlos Azarel 2 Okumura, Shinya 2 Paramonov, Serge V. 2 Poonen, Bjorn 2 Roush, Fred William 2 Sáez, Pablo 2 Ta Thi Hoai An 2 Vsemirnov, Maxim 2 Wang, Julie Tzu-Yueh 1 Artebani, Michela 1 Barone, Marco 1 Baxa, Christoph 1 Buser, Peter 1 Caro, Nicolás 1 Chapuis, Olivier 1 Cornelissen, Gunther 1 Degroote, Claudia 1 Ding, Jintai 1 Escassut, Alain 1 Garreta, Albert 1 Harari, David 1 Huang, Hsiu-Lien 1 Kiefer, Stefan 1 Kudo, Momonari 1 Laface, Antonio 1 Litow, Bruce E. 1 López, Laura 1 Marusic, Ines 1 Matiyasevich, Yuriĭ Vladimirovich 1 Mazur, Barry 1 Miller, Russell G. 1 Moret-Bailly, Laurent 1 Murty, Maruti Ram 1 Naziazeno, Eudes 1 Ovchinnikov, Denis 1 Park, Jennifer 1 Point, Françoise 1 Rigo, Michel 1 Scarpellini, Bruno 1 Takagi, Tsuyoshi 1 Tao, Chengdong 1 Testa, Damiano 1 Utreras, Javier 1 Van Geel, Jan 1 Videla, Carlos R. 1 Voloch, José Felipe 1 Waxweiler, Laurent 1 Worrell, James B.
all top 5

#### Cited in 39 Serials

 8 Journal of Algebra 8 The Journal of Symbolic Logic 7 Journal of Number Theory 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 5 Annals of Pure and Applied Logic 3 Israel Journal of Mathematics 3 Inventiones Mathematicae 3 Monatshefte für Mathematik 2 Communications in Algebra 2 Mathematische Zeitschrift 2 Programming and Computer Software 2 Journal of Mathematical Sciences (New York) 2 Journal of the European Mathematical Society (JEMS) 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Notre Dame Journal of Formal Logic 1 Theoretical Computer Science 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Algebra and Computation 1 International Journal of Foundations of Computer Science 1 Archive for Mathematical Logic 1 Journal de Théorie des Nombres de Bordeaux 1 The Bulletin of Symbolic Logic 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 Proyecciones 1 Proceedings of the Steklov Institute of Mathematics 1 Logical Methods in Computer Science 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Pacific Journal of Mathematics for Industry
all top 5

#### Cited in 17 Fields

 70 Number theory (11-XX) 56 Mathematical logic and foundations (03-XX) 20 Field theory and polynomials (12-XX) 9 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Functions of a complex variable (30-XX) 3 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX)