Edit Profile Pheidas, Thanases Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 21 Publications have been cited 175 times in 85 Documents Cited by ▼ Year ▼ Hilbert’s tenth problem for fields of rational functions over finite fields. Zbl 0696.12022Pheidas, Thanases 27 1991 Undecidability of existential theories of rings and fields: A survey. Zbl 0981.03013Pheidas, Thanases; Zahidi, Karim 24 2000 Hilbert’s tenth problem for a class of rings of algebraic integers. Zbl 0697.12020Pheidas, Thanases 18 1988 A survey on Büchi’s problem: new presentations and open problems. Zbl 1282.11015Pasten, H.; Pheidas, T.; Vidaux, X. 13 2010 The analogue of Büchi’s problem for rational functions. Zbl 1109.03032Pheidas, Thanases; Vidaux, Xavier 11 2006 Division-ample sets and the Diophantine problem for rings of integers. Zbl 1161.11323Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim 11 2005 An undecidability result for power series rings of positive characteristics. II. Zbl 0664.03008Pheidas, Thanases 10 1987 Extensions of Büchi’s problem: Questions of decidability for addition and \(k\)th powers. Zbl 1079.03005Pheidas, Thanases; Vidaux, Xavier 8 2005 Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034Denef, Jan (ed.); Lipshitz, Leonard (ed.); Pheidas, Thanases (ed.); Van Geel, Jan (ed.) 8 2000 Undecidable existential theories of polynomial rings and function fields. Zbl 0934.03014Pheidas, Thanases; Zahidi, Karim 8 1999 An analogue of Hilbert’s tenth problem for \(p\)-adic entire functions. Zbl 0849.03007Lipshitz, Leonard; Pheidas, Thanases 7 1995 Extensions of Hilbert’s tenth problem. Zbl 0812.11071Pheidas, Thanases 6 1994 The analogue of Büchi’s problem for cubes in rings of polynomials. Zbl 1151.03004Pheidas, Thanases; Vidaux, Xavier 5 2008 Uniform existential interpretation of arithmetic in rings of functions of positive characteristic. Zbl 1327.03009Pasten, Hector; Pheidas, Thanases; Vidaux, Xavier 4 2014 Elimination theory for addition and the Frobenius map in polynomial rings. Zbl 1093.03019Pheidas, Thanases; Zahidi, Karim 3 2004 An effort to prove that the existential theory of \(\mathbb Q\) is undecidable. Zbl 0981.03014Pheidas, Thanases 3 2000 Decision problems in algebra and analogues of Hilbert’s tenth problem. Zbl 1167.03008Pheidas, Thanases; Zahidi, Karim 2 2008 Diophantine undecidability for addition and divisibility in polynomial rings. Zbl 1058.03019Pheidas, Thanases 2 2004 Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic. Zbl 1035.11064Pheidas, Thanases 2 2004 An undecidability result for power series rings of positive characteristic. Zbl 0639.03009Pheidas, Thanases 2 1987 The diophantine theory of a ring of analytic functions. Zbl 0819.03003Pheidas, Thanases 1 1995 Uniform existential interpretation of arithmetic in rings of functions of positive characteristic. Zbl 1327.03009Pasten, Hector; Pheidas, Thanases; Vidaux, Xavier 4 2014 A survey on Büchi’s problem: new presentations and open problems. Zbl 1282.11015Pasten, H.; Pheidas, T.; Vidaux, X. 13 2010 The analogue of Büchi’s problem for cubes in rings of polynomials. Zbl 1151.03004Pheidas, Thanases; Vidaux, Xavier 5 2008 Decision problems in algebra and analogues of Hilbert’s tenth problem. Zbl 1167.03008Pheidas, Thanases; Zahidi, Karim 2 2008 The analogue of Büchi’s problem for rational functions. Zbl 1109.03032Pheidas, Thanases; Vidaux, Xavier 11 2006 Division-ample sets and the Diophantine problem for rings of integers. Zbl 1161.11323Cornelissen, Gunther; Pheidas, Thanases; Zahidi, Karim 11 2005 Extensions of Büchi’s problem: Questions of decidability for addition and \(k\)th powers. Zbl 1079.03005Pheidas, Thanases; Vidaux, Xavier 8 2005 Elimination theory for addition and the Frobenius map in polynomial rings. Zbl 1093.03019Pheidas, Thanases; Zahidi, Karim 3 2004 Diophantine undecidability for addition and divisibility in polynomial rings. Zbl 1058.03019Pheidas, Thanases 2 2004 Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic. Zbl 1035.11064Pheidas, Thanases 2 2004 Undecidability of existential theories of rings and fields: A survey. Zbl 0981.03013Pheidas, Thanases; Zahidi, Karim 24 2000 Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034Denef, Jan (ed.); Lipshitz, Leonard (ed.); Pheidas, Thanases (ed.); Van Geel, Jan (ed.) 8 2000 An effort to prove that the existential theory of \(\mathbb Q\) is undecidable. Zbl 0981.03014Pheidas, Thanases 3 2000 Undecidable existential theories of polynomial rings and function fields. Zbl 0934.03014Pheidas, Thanases; Zahidi, Karim 8 1999 An analogue of Hilbert’s tenth problem for \(p\)-adic entire functions. Zbl 0849.03007Lipshitz, Leonard; Pheidas, Thanases 7 1995 The diophantine theory of a ring of analytic functions. Zbl 0819.03003Pheidas, Thanases 1 1995 Extensions of Hilbert’s tenth problem. Zbl 0812.11071Pheidas, Thanases 6 1994 Hilbert’s tenth problem for fields of rational functions over finite fields. Zbl 0696.12022Pheidas, Thanases 27 1991 Hilbert’s tenth problem for a class of rings of algebraic integers. Zbl 0697.12020Pheidas, Thanases 18 1988 An undecidability result for power series rings of positive characteristics. II. Zbl 0664.03008Pheidas, Thanases 10 1987 An undecidability result for power series rings of positive characteristic. Zbl 0639.03009Pheidas, Thanases 2 1987 all cited Publications top 5 cited Publications all top 5 Cited by 58 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 Kim, Ki Hang 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 Baxa, Christoph 1 Buser, Peter 1 Cerda-Romero, Leonidas 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 Martinez-Ranero, Carlos Azarel 1 Marusic, Ines 1 Matiyasevich, Yuriĭ Vladimirovich 1 Mazur, Barry 1 Miller, Russell G. 1 Moret-Bailly, Laurent 1 Murty, Maruti Ram 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 38 Serials 8 Journal of Algebra 7 Journal of Number Theory 7 The Journal of Symbolic Logic 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 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 69 Number theory (11-XX) 54 Mathematical logic and foundations (03-XX) 20 Field theory and polynomials (12-XX) 9 Algebraic geometry (14-XX) 4 Commutative algebra (13-XX) 4 Functions of a complex variable (30-XX) 3 Associative rings and algebras (16-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) Citations by Year