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Lipshitz, Leonard

Compute Distance To:
 Author ID: lipshitz.leonard Published as: Lipshitz, L.; Lipshitz, Leonard Homepage: https://www.math.purdue.edu/people/bio/lipshitz/home External Links: MGP · dblp · GND
 Documents Indexed: 46 Publications since 1973, including 2 Books
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Co-Authors

 14 single-authored 10 Robinson, Zachary 9 Denef, Jan 6 Becker, Joseph A. 4 Cluckers, Raf 4 Rubel, Lee Albert 2 Pheidas, Thanases 1 Nadel, Mark E. 1 Saracino, Dan 1 van den Dries, Lou 1 van der Poorten, Alfred J. 1 Van Geel, Jan
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Serials

 7 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 3 American Journal of Mathematics 3 Fundamenta Mathematicae 3 Journal of the London Mathematical Society. Second Series 3 The Journal of Symbolic Logic 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Journal of the European Mathematical Society (JEMS) 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Astérisque 1 Contemporary Mathematics
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Fields

 30 Mathematical logic and foundations (03-XX) 14 Field theory and polynomials (12-XX) 14 Commutative algebra (13-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Algebraic geometry (14-XX) 12 Number theory (11-XX) 5 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 2 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Geometry (51-XX)

Citations contained in zbMATH

41 Publications have been cited 502 times in 356 Documents Cited by Year
D-finite power series. Zbl 0695.12018
Lipshitz, L.
1989
The diagonal of a D-finite power series is D-finite. Zbl 0657.13024
Lipshitz, L.
1988
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
1987
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
1984
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
1978
Rigid subanalytic sets. Zbl 0792.14010
Lipshitz, L.
1993
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
1979
Fields with analytic structure. Zbl 1291.03074
Cluckers, R.; Lipshitz, L.
2011
The Diophantine problem for addition and divisibility. Zbl 0374.02025
Lipshitz, L.
1978
The model companion of the theory of commutative rings without nilpotent elements. Zbl 0267.02040
Lipshitz, L.; Saracino, D.
1973
Analytic cell decomposition and analytic motivic integration. Zbl 1168.12006
Cluckers, Raf; Lipshitz, Leonard; Robinson, Zachary
2006
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
1980
A differentially algebraic replacement theorem, and analog computability. Zbl 0626.34012
Lipshitz, Leonard; Rubel, Lee A.
1987
One-dimensional fibers of rigid subanalytic sets. Zbl 0903.32004
Lipshitz, L.; Robinson, Z.
1998
Decision problems for differential equations. Zbl 0683.03039
Denef, J.; Lipshitz, L.
1989
A gap theorem for power series solutions of algebraic differential equations. Zbl 0605.12014
Lipshitz, Leonard; Rubel, Lee A.
1986
Rings of separated power series and quasi-affinoid geometry. Zbl 0957.32011
Lipshitz, Leonard; Robinson, Zachary
2000
Strictly convergent analytic structures. Zbl 1372.32031
Cluckers, Raf; Lipshitz, Leonard
2017
Uniform properties of rigid subanalytic sets. Zbl 1081.03024
Lipshitz, Leonard; Robinson, Zachary
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
The undecidability of the word problems for projective geometries and modular lattices. Zbl 0288.02026
Lipshitz, L.
1974
Rigid subanalytic subsets of the line and the plane. Zbl 0935.14035
Lipshitz, Leonard; Robinson, Zachary
1996
An analogue of Hilbert’s tenth problem for $$p$$-adic entire functions. Zbl 0849.03007
Lipshitz, Leonard; Pheidas, Thanases
1995
Overconvergent real closed quantifier elimination. Zbl 1116.03032
Lipshitz, L.; Robinson, Z.
2006
Rigid subanalytic subsets of curves and surfaces. Zbl 0935.32008
Lipshitz, Leonard; Robinson, Zachary
1999
Isolated points on fibers of affinoid varieties. Zbl 0636.14006
Lipshitz, L.
1988
Remarks of the elementary theories of formal and convergent power series. Zbl 0526.13016
Becker, Joseph; Lipshitz, Leonard
1980
Dimension theory and smooth stratification of rigid subanalytic sets. Zbl 0978.14046
Lipshitz, Leonard; Robinson, Zachary
2000
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
1980
Undecidable existential problems for addition and divisibility in algebraic number rings. Zbl 0385.03012
Lipshitz, L.
1978
Undecidable existential problems for addition and divisibility in algebraic number rings. II. Zbl 0365.02019
Lipshitz, Leonard
1977
Real closed fields with non-standard and standard analytic structure. Zbl 1184.03032
Cluckers, R.; Lipshitz, L.; Robinson, Z.
2008
The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004
Becker, Joseph; Denef, J.; Lipshitz, L.
1983
Some remarks on the diophantive problem for addition and divisibility. Zbl 0497.03007
Lipshitz, Leonard
1981
The real closure of a commutative regular $$f$$-ring. Zbl 0359.02057
Lipshitz, L.
1977
Commutative regular rings with integral closure. Zbl 0315.13006
Lipshitz, L.
1975
Rational functions, diagonals, automata and arithmetic. Zbl 0694.10008
Lipshitz, Leonard; van der Poorten, Alfred J.
1990
Corrigendum to: “A differentially algebraic replacement theorem, and analog computability”. Zbl 0691.34010
Lipshitz, Leonard; Rubel, Lee A.
1988
Flattening and analytic continuation of affinoid morphisms: remarks on a paper of Gardener and Schoutens. Zbl 1080.32020
Lipshitz, L.; Robinson, Z.
2005
p-adic zeros of polynomials. Zbl 0653.12006
Lipshitz, L.
1988
The additive structure of models of arithmetic. Zbl 0383.03047
1978
Strictly convergent analytic structures. Zbl 1372.32031
Cluckers, Raf; Lipshitz, Leonard
2017
Fields with analytic structure. Zbl 1291.03074
Cluckers, R.; Lipshitz, L.
2011
Real closed fields with non-standard and standard analytic structure. Zbl 1184.03032
Cluckers, R.; Lipshitz, L.; Robinson, Z.
2008
Analytic cell decomposition and analytic motivic integration. Zbl 1168.12006
Cluckers, Raf; Lipshitz, Leonard; Robinson, Zachary
2006
Overconvergent real closed quantifier elimination. Zbl 1116.03032
Lipshitz, L.; Robinson, Z.
2006
Uniform properties of rigid subanalytic sets. Zbl 1081.03024
Lipshitz, Leonard; Robinson, Zachary
2005
Flattening and analytic continuation of affinoid morphisms: remarks on a paper of Gardener and Schoutens. Zbl 1080.32020
Lipshitz, L.; Robinson, Z.
2005
Rings of separated power series and quasi-affinoid geometry. Zbl 0957.32011
Lipshitz, Leonard; Robinson, Zachary
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
Dimension theory and smooth stratification of rigid subanalytic sets. Zbl 0978.14046
Lipshitz, Leonard; Robinson, Zachary
2000
Rigid subanalytic subsets of curves and surfaces. Zbl 0935.32008
Lipshitz, Leonard; Robinson, Zachary
1999
One-dimensional fibers of rigid subanalytic sets. Zbl 0903.32004
Lipshitz, L.; Robinson, Z.
1998
Rigid subanalytic subsets of the line and the plane. Zbl 0935.14035
Lipshitz, Leonard; Robinson, Zachary
1996
An analogue of Hilbert’s tenth problem for $$p$$-adic entire functions. Zbl 0849.03007
Lipshitz, Leonard; Pheidas, Thanases
1995
Rigid subanalytic sets. Zbl 0792.14010
Lipshitz, L.
1993
Rational functions, diagonals, automata and arithmetic. Zbl 0694.10008
Lipshitz, Leonard; van der Poorten, Alfred J.
1990
D-finite power series. Zbl 0695.12018
Lipshitz, L.
1989
Decision problems for differential equations. Zbl 0683.03039
Denef, J.; Lipshitz, L.
1989
The diagonal of a D-finite power series is D-finite. Zbl 0657.13024
Lipshitz, L.
1988
Isolated points on fibers of affinoid varieties. Zbl 0636.14006
Lipshitz, L.
1988
Corrigendum to: “A differentially algebraic replacement theorem, and analog computability”. Zbl 0691.34010
Lipshitz, Leonard; Rubel, Lee A.
1988
p-adic zeros of polynomials. Zbl 0653.12006
Lipshitz, L.
1988
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
1987
A differentially algebraic replacement theorem, and analog computability. Zbl 0626.34012
Lipshitz, Leonard; Rubel, Lee A.
1987
A gap theorem for power series solutions of algebraic differential equations. Zbl 0605.12014
Lipshitz, Leonard; Rubel, Lee A.
1986
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
1984
The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004
Becker, Joseph; Denef, J.; Lipshitz, L.
1983
Some remarks on the diophantive problem for addition and divisibility. Zbl 0497.03007
Lipshitz, Leonard
1981
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
1980
Remarks of the elementary theories of formal and convergent power series. Zbl 0526.13016
Becker, Joseph; Lipshitz, Leonard
1980
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
1980
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
1979
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
1978
The Diophantine problem for addition and divisibility. Zbl 0374.02025
Lipshitz, L.
1978
Undecidable existential problems for addition and divisibility in algebraic number rings. Zbl 0385.03012
Lipshitz, L.
1978
The additive structure of models of arithmetic. Zbl 0383.03047
1978
Undecidable existential problems for addition and divisibility in algebraic number rings. II. Zbl 0365.02019
Lipshitz, Leonard
1977
The real closure of a commutative regular $$f$$-ring. Zbl 0359.02057
Lipshitz, L.
1977
Commutative regular rings with integral closure. Zbl 0315.13006
Lipshitz, L.
1975
The undecidability of the word problems for projective geometries and modular lattices. Zbl 0288.02026
Lipshitz, L.
1974
The model companion of the theory of commutative rings without nilpotent elements. Zbl 0267.02040
Lipshitz, L.; Saracino, D.
1973
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Cited by 331 Authors

 19 Shlapentokh, Alexandra 15 Cluckers, Raf 15 Lipshitz, Leonard 11 Bousquet-Mélou, Mireille 8 van der Hoeven, Joris 7 Denef, Jan 7 Rechnitzer, Andrew Daniel 7 Rubel, Lee Albert 7 Schoutens, Hans 6 Bostan, Alin 6 Halupczok, Immanuel 6 Kauers, Manuel 6 Loeser, François 6 Mishna, Marni 6 Pasten, Hector V. 6 Pheidas, Thanases 6 Popescu, Dorin 6 Rond, Guillaume 6 Salvy, Bruno 6 van den Dries, Lou 5 Robinson, Zachary 4 Allouche, Jean-Paul Simon 4 Aschenbrenner, Matthias 4 Bell, Jason P. 4 Chen, Shaoshi 4 Costa, José Félix 4 Kaiser, Tobias 4 Martin, Florent 4 Melczer, Stephen 4 Paramonov, Serge V. 3 Abramov, Sergeĭ Aleksandrovich 3 Becker, Joseph A. 3 Campagnolo, Manuel Lameiras 3 Çelikler, Y. Firat 3 Chyzak, Frédéric 3 Dang, Zhe 3 Haskell, Deirdre 3 Hrushovski, Ehud 3 Ibarra, Oscar H. 3 Macpherson, Dugald 3 Massazza, Paolo 3 Moore, Cristopher 3 Rotthaus, Christel 3 Roush, Fred William 3 Singer, Michael F. 3 Sirokofskich, Alla 3 Skordev, Gencho S. 3 Sureson, Claude 3 Vidaux, Xavier 3 Weispfenning, Volker 3 Zeilberger, Doron 2 Alexandru, Victor 2 Beggs, Edwin J. 2 Bélair, Luc 2 Bergeron, François 2 Bournez, Olivier 2 Cerda-Romero, Leonidas 2 Comte, Georges 2 Cornelissen, Gunther 2 Courtiel, Julien 2 Cubides Kovacsics, Pablo 2 Delon, Françoise 2 Drmota, Michael 2 Edmundo, Mário J. 2 Forey, Arthur 2 Garcia-Fritz, Natalia 2 Gessel, Ira Martin 2 Gordon, Julia 2 Graça, Daniel Silva 2 Guttmann, Anthony John 2 Hainry, Emmanuel 2 Hauser, Herwig 2 Herrmann, Christian 2 Kim, Ki Hang 2 Koutschan, Christoph 2 Leĭnartas, Evgeniĭ Konstantinovich 2 Maillard, Jean-Marie 2 Mansour, Toufik 2 Martinez-Ranero, Carlos Azarel 2 Matiyasevich, Yuriĭ Vladimirovich 2 Mikhalëv, Aleksandr Vasil’evich 2 Miller, Daniel J. 2 Moret-Bailly, Laurent 2 Myasnikov, Alexei G. 2 Nguyen, Kien Huu 2 Nowak, Krzysztof Jan 2 Ouaknine, Joel O. 2 Peitgen, Heinz-Otto 2 Petkovšek, Marko 2 Point, Françoise 2 Prelli, Luca 2 Radicioni, Roberto 2 Raschel, Kilian 2 Rideau, Silvain 2 Rowland, Eric S. 2 Sharif, Habib 2 Tucker, John V. 2 Vâjâitu, Marian 2 Wilson, Mark Curtis 2 Yassawi, Reem ...and 231 more Authors
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Cited in 111 Serials

 24 Journal of Algebra 22 Transactions of the American Mathematical Society 16 Proceedings of the American Mathematical Society 16 Theoretical Computer Science 15 The Journal of Symbolic Logic 14 Journal of Combinatorial Theory. Series A 13 Annals of Pure and Applied Logic 13 Journal of Symbolic Computation 11 Israel Journal of Mathematics 8 Advances in Applied Mathematics 7 Inventiones Mathematicae 7 Journal of Number Theory 7 Mathematische Annalen 6 Manuscripta Mathematica 6 Mathematische Zeitschrift 6 Archive for Mathematical Logic 5 Programming and Computer Software 5 Journal of Complexity 5 Selecta Mathematica. New Series 4 Advances in Mathematics 4 Compositio Mathematica 4 Duke Mathematical Journal 4 Journal of Pure and Applied Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Journal de Théorie des Nombres de Bordeaux 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Number Theory 3 Communications in Algebra 3 Discrete Mathematics 3 Algebra Universalis 3 Journal of Differential Equations 3 European Journal of Combinatorics 3 Journal of the European Mathematical Society (JEMS) 3 Foundations of Computational Mathematics 2 Annales de l’Institut Fourier 2 Journal of Soviet Mathematics 2 Discrete & Computational Geometry 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Mathematical Sciences (New York) 2 Mathematical Logic Quarterly (MLQ) 2 Annals of Combinatorics 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Physics A: Mathematical and Theoretical 2 Algebra & Number Theory 2 Transactions of the American Mathematical Society. Series B 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Algebra and Logic 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Glasgow Mathematical Journal 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Cybernetics 1 Algorithmica 1 Information and Computation 1 International Journal of Mathematics 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 The Annals of Applied Probability 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 RAIRO. Informatique Théorique et Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Combinatorics, Probability and Computing 1 Annales Mathématiques Blaise Pascal 1 The Electronic Journal of Combinatorics 1 The Bulletin of Symbolic Logic 1 Integral Transforms and Special Functions 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Difference Equations and Applications 1 Algebras and Representation Theory 1 Revista Matemática Complutense 1 RAIRO. Theoretical Informatics and Applications 1 Journal of Systems Science and Complexity 1 Natural Computing 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Proyecciones 1 Contributions to Discrete Mathematics ...and 11 more Serials
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Cited in 39 Fields

 144 Mathematical logic and foundations (03-XX) 99 Number theory (11-XX) 72 Commutative algebra (13-XX) 72 Algebraic geometry (14-XX) 70 Field theory and polynomials (12-XX) 53 Computer science (68-XX) 48 Combinatorics (05-XX) 36 Several complex variables and analytic spaces (32-XX) 20 Ordinary differential equations (34-XX) 18 Special functions (33-XX) 16 Associative rings and algebras (16-XX) 11 Group theory and generalizations (20-XX) 11 Functions of a complex variable (30-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 7 Real functions (26-XX) 7 Difference and functional equations (39-XX) 6 Category theory; homological algebra (18-XX) 6 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 4 Sequences, series, summability (40-XX) 4 Probability theory and stochastic processes (60-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 General algebraic systems (08-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)