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Ax, James

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Author ID: ax.james Recent zbMATH articles by "Ax, James"
Published as: Ax, James; Ax, J.
External Links: MGP · Wikidata
Documents Indexed: 19 Publications since 1960

Co-Authors

17 single-authored
2 Kochen, Simon

Publications by Year

Citations contained in zbMATH Open

15 Publications have been cited 607 times in 509 Documents Cited by Year
The elementary theory of finite fields. Zbl 0195.05701
Ax, James
139
1968
On Schanuel’s conjectures. Zbl 0232.10026
Ax, James
86
1971
Diophantine problems over local fields. I. II: A complete set of axioms for \(p\)-adic number theory. Zbl 0136.32805
Ax, James; Kochen, Simon
86
1965
Zeros of polynomials over finite fields. Zbl 0121.02003
Ax, J.
79
1964
Diophantine problems over local fields. III: Decidable fields. Zbl 0223.02050
Ax, James; Kochen, Simon
46
1966
Zeros of polynomials over local fields. The Galois action. Zbl 0216.04703
Ax, James
39
1970
Solving diophantine problems modulo every prime. Zbl 0239.10032
Ax, James
33
1967
Some topics in differential algebraic geometry. I: Analytic subgroups of algebraic groups. Zbl 0258.14014
Ax, James
25
1972
Injective endomorphisms of varieties and schemes. Zbl 0194.52001
Ax, James
21
1969
On the units of an algebraic number field. Zbl 0132.28303
Ax, James
16
1965
On the undecidability of power series fields. Zbl 0199.03003
Ax, J.
12
1965
A metamathematical approach to some problems in number theory. Zbl 0218.10075
Ax, J.
7
1971
Proof of some conjectures on cohomological dimension. Zbl 0142.30001
Ax, J.
7
1965
Some topics in differential algebraic geometry. II: On the zeros of theta functions. Zbl 0266.14018
Ax, James
6
1972
A field of cohomological dimension 1 which is not \(C_ 1\). Zbl 0142.29902
Ax, J.
5
1965
Some topics in differential algebraic geometry. I: Analytic subgroups of algebraic groups. Zbl 0258.14014
Ax, James
25
1972
Some topics in differential algebraic geometry. II: On the zeros of theta functions. Zbl 0266.14018
Ax, James
6
1972
On Schanuel’s conjectures. Zbl 0232.10026
Ax, James
86
1971
A metamathematical approach to some problems in number theory. Zbl 0218.10075
Ax, J.
7
1971
Zeros of polynomials over local fields. The Galois action. Zbl 0216.04703
Ax, James
39
1970
Injective endomorphisms of varieties and schemes. Zbl 0194.52001
Ax, James
21
1969
The elementary theory of finite fields. Zbl 0195.05701
Ax, James
139
1968
Solving diophantine problems modulo every prime. Zbl 0239.10032
Ax, James
33
1967
Diophantine problems over local fields. III: Decidable fields. Zbl 0223.02050
Ax, James; Kochen, Simon
46
1966
Diophantine problems over local fields. I. II: A complete set of axioms for \(p\)-adic number theory. Zbl 0136.32805
Ax, James; Kochen, Simon
86
1965
On the units of an algebraic number field. Zbl 0132.28303
Ax, James
16
1965
On the undecidability of power series fields. Zbl 0199.03003
Ax, J.
12
1965
Proof of some conjectures on cohomological dimension. Zbl 0142.30001
Ax, J.
7
1965
A field of cohomological dimension 1 which is not \(C_ 1\). Zbl 0142.29902
Ax, J.
5
1965
Zeros of polynomials over finite fields. Zbl 0121.02003
Ax, J.
79
1964
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Cited by 488 Authors

17 Jarden, Moshe
11 Zaharescu, Alexandru
10 Macintyre, Angus John
9 Alexandru, Victor
9 Castro, Francis Noel
8 Pila, Jonathan
8 van den Dries, Lou
7 Basarab, Serban A.
7 Cao, Wei
7 Denef, Jan
7 Khanduja, Sudesh K.
6 Chatzidakis, Zoé Maria
6 Kirby, Jonathan
6 Popescu, Nicolae N.
6 Sperber, Steven I.
6 Vâjâitu, Marian
5 Adolphson, Alan
5 Fried, Michael David
5 Habegger, Philipp
5 Haran, Dan
5 Medina, Luis A.
5 Myasnikov, Alexei G.
5 Rubio, Ivelisse M.
5 Sun, Qi
4 Aslanyan, Vahagn A.
4 Bertrand, Daniel
4 Bianconi, Ricardo
4 Cluckers, Raf
4 Ershov, Yuriĭ Leonidovich
4 Fehm, Arno
4 Gao, Ziyang
4 Jahnke, Franziska
4 Kowalski, Piotr
4 Pheidas, Thanases
4 Scanlon, Thomas J.
4 Zannier, Umberto M.
3 Ceccherini-Silberstein, Tullio G.
3 Chernikov, Artem
3 Clark, Peter Louis
3 Coornaert, Michel
3 D’Aquino, Paola
3 Delon, Françoise
3 Hartl, Urs T.
3 Hou, Xiang-Dong
3 Hrushovski, Ehud
3 Kharlampovich, Olga G.
3 Lee, Junguk
3 Lipshitz, Leonard
3 Loeser, François
3 Martin-Pizarro, Amador
3 Masser, David William
3 Montenegro, Samaria
3 Pillay, Anand
3 Prestel, Alexander
3 Robinson, Abraham
3 Shelah, Saharon
3 Tsimerman, Jacob
3 Ullmo, Emmanuel
3 Ward, Harold N.
3 Xu, Ming
3 Yafaev, Andrei
3 Yeats, Karen A.
2 Baldwin, John T.
2 Bays, Martin
2 Bélair, Luc
2 Berend, Daniel
2 Berenstein, Carlos Alberto
2 Beyarslan, Özlem
2 Blache, Régis
2 Blossier, Thomas
2 Brown, Ron
2 Buşe, Constantin
2 Caviness, Bob F.
2 Chandler, David B.
2 Cherlin, Gregory L.
2 Emsalem, Michel
2 Eterović, Sebastian
2 Fiorenzi, Francesca
2 Fornasiero, Antongiulio
2 Fresnel, Jean
2 Furter, Jean-Philippe
2 Geyer, Wulf-Dieter
2 González, Oscar E.
2 Gordon, Julia
2 Grunewald, Fritz J.
2 Halevi, Yatir
2 Halupczok, Immanuel
2 Harris, Michael Howard
2 Hasson, Assaf
2 Heath-Brown, Roger
2 Hoffmann, Daniel Max
2 Hu, Shuangnian
2 Huang, Chengchao
2 Jelonek, Zbigniew
2 Kaliman, Shulim I.
2 Kang, Ming-Chang
2 Katz, Daniel J.
2 Katz, Nicholas Michael
2 Kedlaya, Kiran Sridhara
2 Klingen, Norbert
...and 388 more Authors
all top 5

Cited in 131 Serials

33 The Journal of Symbolic Logic
32 Journal of Number Theory
29 Journal of Algebra
23 Annals of Pure and Applied Logic
20 Proceedings of the American Mathematical Society
16 Transactions of the American Mathematical Society
14 Israel Journal of Mathematics
12 Compositio Mathematica
12 Inventiones Mathematicae
12 Finite Fields and their Applications
10 Communications in Algebra
9 Journal of Pure and Applied Algebra
9 Mathematische Annalen
8 The Bulletin of Symbolic Logic
8 Annals of Mathematics. Second Series
8 Journal of Mathematical Logic
7 Discrete Mathematics
7 Advances in Mathematics
7 Algebra and Logic
7 Archiv der Mathematik
6 Journal of Symbolic Computation
6 Selecta Mathematica. New Series
6 Bulletin of the American Mathematical Society
5 Mathematische Zeitschrift
5 Results in Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 Journal of the Institute of Mathematics of Jussieu
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Duke Mathematical Journal
4 Journal für die Reine und Angewandte Mathematik
4 Manuscripta Mathematica
4 Notre Dame Journal of Formal Logic
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Rendiconti del Seminario Matematico della Università di Padova
4 Journal of the American Mathematical Society
4 Archive for Mathematical Logic
4 Journal de Théorie des Nombres de Bordeaux
4 Algebra & Number Theory
3 Rocky Mountain Journal of Mathematics
3 Acta Arithmetica
3 Annales de l’Institut Fourier
3 Journal of Soviet Mathematics
3 Monatshefte für Mathematik
3 Theoretical Computer Science
3 Designs, Codes and Cryptography
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Number Theory
2 Bulletin of the Australian Mathematical Society
2 Discrete Applied Mathematics
2 Mathematical Notes
2 Bulletin of the London Mathematical Society
2 Commentarii Mathematici Helvetici
2 Publications Mathématiques
2 Mathematika
2 Nagoya Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Siberian Mathematical Journal
2 Information and Computation
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 International Journal of Algebra and Computation
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Journal of Algebraic Combinatorics
2 Journal of Mathematical Sciences (New York)
2 Mathematical Logic Quarterly (MLQ)
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Algebra and its Applications
2 Confluentes Mathematici
2 Cryptography and Communications
2 Prikladnaya Diskretnaya Matematika
1 American Mathematical Monthly
1 Applicable Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Arkiv för Matematik
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Acta Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Functiones et Approximatio. Commentarii Mathematici
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 International Journal of Computer & Information Sciences
1 Journal of Mathematical Economics
1 Memoirs of the American Mathematical Society
1 Studia Logica
1 Synthese
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Ergodic Theory and Dynamical Systems
1 Combinatorica
1 Discrete & Computational Geometry
1 Journal of Automated Reasoning
1 Applied Mathematics Letters
1 Aequationes Mathematicae
...and 31 more Serials
all top 5

Cited in 43 Fields

217 Number theory (11-XX)
189 Field theory and polynomials (12-XX)
181 Mathematical logic and foundations (03-XX)
136 Algebraic geometry (14-XX)
43 Commutative algebra (13-XX)
40 Group theory and generalizations (20-XX)
24 Several complex variables and analytic spaces (32-XX)
21 Combinatorics (05-XX)
17 Information and communication theory, circuits (94-XX)
16 Computer science (68-XX)
13 Associative rings and algebras (16-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Topological groups, Lie groups (22-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Functions of a complex variable (30-XX)
5 History and biography (01-XX)
5 Category theory; homological algebra (18-XX)
5 Functional analysis (46-XX)
5 Quantum theory (81-XX)
4 General and overarching topics; collections (00-XX)
4 Nonassociative rings and algebras (17-XX)
4 Special functions (33-XX)
4 Operator theory (47-XX)
4 Algebraic topology (55-XX)
3 Ordinary differential equations (34-XX)
3 Abstract harmonic analysis (43-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of particles and systems (70-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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