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Brownawell, W. Dale

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Author ID: brownawell.w-dale Recent zbMATH articles by "Brownawell, W. Dale"
Published as: Brownawell, W. Dale; Brownawell, W. D.; Brownawell, Dale; Brownawell, D.
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Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 509 times in 367 Documents Cited by Year
Bounds for the degrees in the Nullstellensatz. Zbl 0641.14001
Brownawell, W. Dale
102
1987
Vanishing sums in function fields. Zbl 0612.10010
Brownawell, W. D.; Masser, D. W.
54
1986
Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic. Zbl 1064.11055
Anderson, Greg W.; Brownawell, W. Dale; Papanikolas, Matthew A.
49
2004
Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz. Zbl 0689.10043
Shidlovskii, A. B.
39
1989
Siegel normality. Zbl 0652.10027
Beukers, Frits; Brownawell, W. Dale; Heckman, Gert
29
1988
Multiplicity estimates for analytic functions. II. Zbl 0461.10027
Brownawell, W. D.; Masser, D. W.
24
1980
Multiplicity estimates for analytic functions. I. Zbl 0417.10027
Brownawell, W. D.; Masser, D. W.
17
1980
Local diophantine Nullstellen inequalities. Zbl 0651.10022
Brownawell, W. Dale
16
1988
The algebraic independence of Weierstrass functions and some related numbers. Zbl 0356.10027
Brownawell, W. Dale; Kubota, K. K.
16
1977
Linear independence of \(\Gamma\) values in positive characteristic. Zbl 1002.11051
Brownawell, W. Dale; Papanikolas, Matthew A.
14
2002
Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032
13
2001
The algebraic independence of certain numbers related by the exponential function. Zbl 0275.10020
Brownawell, W. Dale
12
1974
A pure power product version of the Hilbert Nullstellensatz. Zbl 0964.14002
Brownawell, W. Dale
10
1998
Linear independence and divided derivatives of a Drinfeld module. I. Zbl 0931.11026
Brownawell, W. Dale
8
1999
Sequences of diophantine approximations. Zbl 0275.10019
Brownawell, W. Dale
8
1974
A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives. Zbl 1440.14020
Brownawell, W. Dale; Papanikolas, Matthew A.
8
2020
Linear independence and divided derivatives of a Drinfeld module. II. Zbl 1099.11509
Brownawell, W. Dale; Denis, Laurent
7
2000
Zero estimates with moving targets. Zbl 1386.11086
Brownawell, W. D.; Masser, D. W.
5
2017
Note on a paper of P. Philippon. Zbl 0634.14002
Brownawell, W. Dale
5
1987
Minimal extensions of algebraic groups and linear independence. Zbl 0997.11056
Brownawell, W. Dale
5
2001
Some remarks on semi-resultants. Zbl 0361.10031
Brownawell, W. D.
5
1977
On the Gelfond-Feldman measure of algebraic independence. Zbl 0402.10039
Brownawell, W. Dale
5
1979
Algebraic independence of Drinfeld exponential and quasi-periodic functions. Zbl 0792.11014
Brownawell, W. Dale
5
1993
Transcendence in positive characteristic. Zbl 0893.11025
Brownawell, W. Dale
4
1998
Gelfond’s method for algebraic independence. Zbl 0312.10022
Brownawell, W. Dale
4
1975
The algebraic independence of certain numbers to algebraic powers. Zbl 0357.10018
Brownawell, W. D.; Waldschmidt, M.
4
1977
Applications of Cayley-Chow forms. Zbl 0674.10031
Brownawell, W. Dale
4
1989
Lower bounds for zero-dimensional projections. Zbl 1237.68253
Brownawell, W. Dale; Yap, Chee K.
4
2009
Pairs of polynomials small at a number to certain algebraic powers. Zbl 0351.10022
Brownawell, W. Dale
3
1977
Effectivity in independence measures for values of E-functions. Zbl 0574.10039
Brownawell, W. Dale
3
1985
Gelfond’s theorem for Drinfeld modules. Zbl 0834.11027
Becker, Paul-Georg; Brownawell, W. Dale; Tubbs, Robert
3
1994
Zero estimates for solutions of differential equations. Zbl 0513.10034
Brownawell, W. D.
3
1983
Large transcendence degree revisited. I: Exponential and non-CM cases. Zbl 0626.10030
Brownawell, W. Dale
2
1987
Large transcendence degree revisited. II: The CM case. Zbl 0626.10031
Brownawell, W. Dale; Tubbs, Robert
2
1987
On the factorization of partial differential equations. Zbl 0631.35008
Brownawell, W. Dale
2
1987
Borne effective pour l’exposant dans le théorème des zéros. (An effective bound for the exponent in the Nullstellensatz). Zbl 0648.13011
Brownawell, W. Dale
2
1987
Submodules of products of quasi-periodic modules. Zbl 0881.11056
Brownawell, W. Dale
2
1996
On the orders of zero of certain functions. Zbl 0467.10024
Brownawell, W. Dale
2
1980
On \(p\)-adic zeros of forms. Zbl 0531.10027
Brownawell, W. Dale
2
1984
Unlikely intersections for curves in additive groups over positive characteristic. Zbl 1401.11110
Brownawell, W. D.; Masser, D. W.
1
2017
A measure of linear independence for some exponential functions. II. Zbl 0407.10028
Brownawell, W. Dale
1
1979
On the development of Gelfond’s method. Zbl 0418.10032
Brownawell, W. Dale
1
1979
Distance to common zeros and lower bounds for polynomials. Zbl 0777.11025
Brownawell, W. Dale
1
1992
The algebraic independence of certain values of the exponential function. Zbl 0241.10018
Brownawell, Dale
1
1972
Some transcendence results for the exponential function. Zbl 0234.10021
Brownawell, W. Dale
1
1972
A variation of Fermat’s problem. Zbl 0131.05104
Brownawell, D.; Goodman, V.
1
1965
A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives. Zbl 1440.14020
Brownawell, W. Dale; Papanikolas, Matthew A.
8
2020
Zero estimates with moving targets. Zbl 1386.11086
Brownawell, W. D.; Masser, D. W.
5
2017
Unlikely intersections for curves in additive groups over positive characteristic. Zbl 1401.11110
Brownawell, W. D.; Masser, D. W.
1
2017
Lower bounds for zero-dimensional projections. Zbl 1237.68253
Brownawell, W. Dale; Yap, Chee K.
4
2009
Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic. Zbl 1064.11055
Anderson, Greg W.; Brownawell, W. Dale; Papanikolas, Matthew A.
49
2004
Linear independence of \(\Gamma\) values in positive characteristic. Zbl 1002.11051
Brownawell, W. Dale; Papanikolas, Matthew A.
14
2002
Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032
13
2001
Minimal extensions of algebraic groups and linear independence. Zbl 0997.11056
Brownawell, W. Dale
5
2001
Linear independence and divided derivatives of a Drinfeld module. II. Zbl 1099.11509
Brownawell, W. Dale; Denis, Laurent
7
2000
Linear independence and divided derivatives of a Drinfeld module. I. Zbl 0931.11026
Brownawell, W. Dale
8
1999
A pure power product version of the Hilbert Nullstellensatz. Zbl 0964.14002
Brownawell, W. Dale
10
1998
Transcendence in positive characteristic. Zbl 0893.11025
Brownawell, W. Dale
4
1998
Submodules of products of quasi-periodic modules. Zbl 0881.11056
Brownawell, W. Dale
2
1996
Gelfond’s theorem for Drinfeld modules. Zbl 0834.11027
Becker, Paul-Georg; Brownawell, W. Dale; Tubbs, Robert
3
1994
Algebraic independence of Drinfeld exponential and quasi-periodic functions. Zbl 0792.11014
Brownawell, W. Dale
5
1993
Distance to common zeros and lower bounds for polynomials. Zbl 0777.11025
Brownawell, W. Dale
1
1992
Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz. Zbl 0689.10043
Shidlovskii, A. B.
39
1989
Applications of Cayley-Chow forms. Zbl 0674.10031
Brownawell, W. Dale
4
1989
Siegel normality. Zbl 0652.10027
Beukers, Frits; Brownawell, W. Dale; Heckman, Gert
29
1988
Local diophantine Nullstellen inequalities. Zbl 0651.10022
Brownawell, W. Dale
16
1988
Bounds for the degrees in the Nullstellensatz. Zbl 0641.14001
Brownawell, W. Dale
102
1987
Note on a paper of P. Philippon. Zbl 0634.14002
Brownawell, W. Dale
5
1987
Large transcendence degree revisited. I: Exponential and non-CM cases. Zbl 0626.10030
Brownawell, W. Dale
2
1987
Large transcendence degree revisited. II: The CM case. Zbl 0626.10031
Brownawell, W. Dale; Tubbs, Robert
2
1987
On the factorization of partial differential equations. Zbl 0631.35008
Brownawell, W. Dale
2
1987
Borne effective pour l’exposant dans le théorème des zéros. (An effective bound for the exponent in the Nullstellensatz). Zbl 0648.13011
Brownawell, W. Dale
2
1987
Vanishing sums in function fields. Zbl 0612.10010
Brownawell, W. D.; Masser, D. W.
54
1986
Effectivity in independence measures for values of E-functions. Zbl 0574.10039
Brownawell, W. Dale
3
1985
On \(p\)-adic zeros of forms. Zbl 0531.10027
Brownawell, W. Dale
2
1984
Zero estimates for solutions of differential equations. Zbl 0513.10034
Brownawell, W. D.
3
1983
Multiplicity estimates for analytic functions. II. Zbl 0461.10027
Brownawell, W. D.; Masser, D. W.
24
1980
Multiplicity estimates for analytic functions. I. Zbl 0417.10027
Brownawell, W. D.; Masser, D. W.
17
1980
On the orders of zero of certain functions. Zbl 0467.10024
Brownawell, W. Dale
2
1980
On the Gelfond-Feldman measure of algebraic independence. Zbl 0402.10039
Brownawell, W. Dale
5
1979
A measure of linear independence for some exponential functions. II. Zbl 0407.10028
Brownawell, W. Dale
1
1979
On the development of Gelfond’s method. Zbl 0418.10032
Brownawell, W. Dale
1
1979
The algebraic independence of Weierstrass functions and some related numbers. Zbl 0356.10027
Brownawell, W. Dale; Kubota, K. K.
16
1977
Some remarks on semi-resultants. Zbl 0361.10031
Brownawell, W. D.
5
1977
The algebraic independence of certain numbers to algebraic powers. Zbl 0357.10018
Brownawell, W. D.; Waldschmidt, M.
4
1977
Pairs of polynomials small at a number to certain algebraic powers. Zbl 0351.10022
Brownawell, W. Dale
3
1977
Gelfond’s method for algebraic independence. Zbl 0312.10022
Brownawell, W. Dale
4
1975
The algebraic independence of certain numbers related by the exponential function. Zbl 0275.10020
Brownawell, W. Dale
12
1974
Sequences of diophantine approximations. Zbl 0275.10019
Brownawell, W. Dale
8
1974
The algebraic independence of certain values of the exponential function. Zbl 0241.10018
Brownawell, Dale
1
1972
Some transcendence results for the exponential function. Zbl 0234.10021
Brownawell, W. Dale
1
1972
A variation of Fermat’s problem. Zbl 0131.05104
Brownawell, D.; Goodman, V.
1
1965
all top 5

Cited by 357 Authors

13 Chang, Chieh-Yu
12 Papanikolas, Matthew A.
11 Masser, David William
9 Berenstein, Carlos Alberto
9 Roy, Damien
9 Wang, Julie Tzu-Yueh
8 Brownawell, W. Dale
8 Tubbs, Robert
7 Fuchs, Clemens
7 Heintz, Joos
7 Li, Wei
7 Pellarin, Federico
7 Philippon, Patrice
7 Yger, Alain
7 Zannier, Umberto M.
6 Mishiba, Yoshinori
5 Bertrand, Daniel
5 Gezmiş, Oğuz
5 Gorelov, Vasiliĭ Aleksandrovich
5 Grigor’ev, Dmitriĭ Yur’evich
5 Solernó, Pablo
5 Thakur, Dinesh S.
5 Wüstholz, Gisbert
4 Binyamini, Gal
4 Galligo, André
4 Giusti, Marc
4 Laurent, Michel
4 Ovchinnikov, Alexey Igorevich
4 Pardo, Luis Miguel
4 Roques, Julien
4 Sabia, Juan
4 Scheiblechner, Peter
4 Sturmfels, Bernd
3 Andersson, Mats
3 Anglès, Bruno
3 Bijlsma, Alex
3 Caniglia, Leandro
3 Caveny, Deanna M.
3 Chirskiĭ, Vladimir Grigor’evich
3 Diaz, Guy
3 Gao, Xiaoshan
3 Green, Nathan
3 Hà Huy Vui
3 Hashemi, Amir
3 Kowalski, Piotr
3 Maurischat, Andreas
3 Mueller, Julia H.
3 Pethő, Attila
3 Spodzieja, Stanisław
3 Struppa, Daniele Carlo
3 Turchet, Amos
3 Waldschmidt, Michel
3 Yu, Jing
3 Yuan, Chunming
2 Anderson, Greg W.
2 André, Yves
2 Bombieri, Enrico
2 Chen, Yen-Tsung
2 Cherepnev, Mikhail A.
2 Compoint, Elie
2 Corvaja, Pietro
2 Cygan, Ewa
2 D’Aquino, Paola
2 De Loera, Jesús A.
2 Delaunay, Sandra
2 Dickenstein, Alicia M.
2 Fitchas, Noaï
2 Fornasiero, Antongiulio
2 Günaydın, Ayhan
2 Harada, Ryotaro
2 Hu, Peichu
2 Jelonek, Zbigniew
2 Jeong, Sangtae
2 Ji, Qingchun
2 Karolus, Christina
2 Kondrat’eva, Marina Vladimirovna
2 Kreso, Dijana
2 Kulagin, V. A.
2 Kurdyka, Krzysztof
2 Kwon, Hyun-kyoung
2 Lee, Jon
2 Li, Yinghong
2 Lombardi, Henri
2 Margulies, Susan
2 Montaña, José Luis
2 Morais, Jose Enrique
2 Morgenstern, Jacques
2 Netyanun, Anupan
2 Ngo Dac, Tuan
2 Phạm Tiên So’n
2 Philibert, Georges
2 Pintér, Ákos
2 Reyssat, Eric
2 Rivoal, Tanguy
2 Ru, Min
2 Schmidt, Wolfgang M.
2 Sessa, Carmen
2 Shmelev, Andrey A.
2 Smale, Steve
2 Sombra, Martín
...and 257 more Authors
all top 5

Cited in 109 Serials

33 Journal of Number Theory
21 Inventiones Mathematicae
17 Transactions of the American Mathematical Society
11 Mathematical Notes
11 Journal of Algebra
10 Journal of Pure and Applied Algebra
10 Mathematische Annalen
10 Journal of Symbolic Computation
9 Compositio Mathematica
9 Proceedings of the American Mathematical Society
9 Journal de Théorie des Nombres de Bordeaux
8 Annales de l’Institut Fourier
7 Bulletin de la Société Mathématique de France
7 Mathematische Zeitschrift
6 Journal of Mathematical Analysis and Applications
6 Advances in Mathematics
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Communications in Algebra
5 Monatshefte für Mathematik
5 Journal of the American Mathematical Society
5 International Journal of Number Theory
4 Rocky Mountain Journal of Mathematics
4 Theoretical Computer Science
4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
4 Applicable Algebra in Engineering, Communication and Computing
4 Journal of the European Mathematical Society (JEMS)
3 Israel Journal of Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Duke Mathematical Journal
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Advances in Applied Mathematics
3 Linear Algebra and its Applications
3 Computational Complexity
3 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 Documenta Mathematica
3 Foundations of Computational Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Discrete Applied Mathematics
2 Acta Mathematica
2 Mathematics and Computers in Simulation
2 Michigan Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Rendiconti del Seminario Matematico della Università di Padova
2 Results in Mathematics
2 Annals of Pure and Applied Logic
2 Journal of Complexity
2 Multidimensional Systems and Signal Processing
2 Bulletin of the American Mathematical Society. New Series
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Acta Mathematica Sinica. New Series
2 Annales Mathématiques Blaise Pascal
2 The Ramanujan Journal
2 Annals of Mathematics. Second Series
2 Research in the Mathematical Sciences
1 Artificial Intelligence
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Functiones et Approximatio. Commentarii Mathematici
1 Publications Mathématiques
1 Journal of Computer and System Sciences
1 Journal of Geometry
1 Le Matematiche
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Siberian Mathematical Journal
1 Ergodic Theory and Dynamical Systems
1 Physica D
1 Discrete & Computational Geometry
1 Forum Mathematicum
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Geometry
1 Russian Journal of Mathematical Physics
1 Combinatorics, Probability and Computing
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Electronic Research Announcements of the American Mathematical Society
1 Communications in Contemporary Mathematics
1 Journal of Systems Science and Complexity
1 Computational Methods and Function Theory
1 Journal of the Institute of Mathematics of Jussieu
1 Chebyshevskiĭ Sbornik
1 Complex Analysis and Operator Theory
1 Groups, Geometry, and Dynamics
1 Algebra & Number Theory
1 Journal of Commutative Algebra
...and 9 more Serials

Citations by Year

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