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Lewis, Donald-J.

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Author ID: lewis.donald-j Recent zbMATH articles by "Lewis, Donald-J."
Published as: Lewis, D.; Lewis, D. J.; Lewis, Donald J.
External Links: MGP · Wikidata · GND
Documents Indexed: 62 Publications since 1952, including 4 Books

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 322 times in 235 Documents Cited by Year
Homogeneous additive equations. Zbl 0118.28002
Davenport, Harold; Lewis, D. J.
28
1963
Simultaneous equations of additive type. Zbl 0207.35304
Davenport, Harold; Lewis, D. J.
24
1969
Equations of the form \(f(x) = g(y)\). Zbl 0121.28403
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
18
1961
On the representation of integers by binary forms. Zbl 0102.03601
Lewis, Donald J.; Mahler, K.
18
1961
Cubic homogeneous polynomials over \({\mathfrak p}\)-adic number fields. Zbl 0048.02602
Lewis, D. J.
18
1952
Character sums and primitive roots in finite fields. Zbl 0119.04302
Davenport, Harold; Lewis, D. J.
17
1963
Notes on congruences. I. Zbl 0113.26704
Davenport, Harold; Lewis, D. J.
17
1963
Polynomials over finite fields with minimal value sets. Zbl 0106.01105
Carlitz, Leonard; Lewis, D. J.; Mills, W. H.; Straus, E. G.
13
1961
Simultaneous quadratic forms. Zbl 0111.02001
Birch, B. J.; Lewis, D. J.; Murphy, T. G.
12
1962
Cubic equations of additive type. Zbl 0227.10038
Davenport, Harold; Lewis, D. J.
11
1966
Cubic congruences. Zbl 0077.05101
Lewis, D. J.
11
1957
Polynomials of certain special types. Zbl 0126.27801
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
10
1964
Non-homogeneous cubic equations. Zbl 0125.02402
Davenport, Harold; Lewis, D. J.
10
1964
The addition of norm forms. Zbl 0105.02804
Birch, B. J.; Davenport, Harold; Lewis, D. J.
10
1962
On zeros of \(p\)-adic forms. Zbl 0531.10026
Lewis, D. J.; Montgomery, Hugh L.
9
1983
Invariant sets of morphisms on projective and affine number spaces. Zbl 0245.12003
Lewis, D. J.
9
1972
Exponential sums in many variables. Zbl 0118.28103
Davenport, Harold; Lewis, D. J.
8
1962
Some varieties with points only in a field extension. Zbl 0532.14011
Bremner, Andrew; Lewis, D. J.; Morton, Patrick
7
1984
Forms of degrees 7 and 11 over p-adic fields. Zbl 0277.10018
Laxton, R. R.; Lewis, D. J.
5
1965
The diophantine equation \(2^{n+2}-7=x^2\) and related problems. Zbl 0089.26701
Skolem, Th.; Chowla, Sarvadaman; Lewis, D. J.
5
1959
Cubic forms over algebraic number fields. Zbl 0081.04403
Lewis, D. J.
5
1957
Systems of three quadratic forms. Zbl 0152.01503
Birch, B. J.; Lewis, D. J.
4
1965
An analogue of a problem of Littlewood. Zbl 0107.04202
Davenport, Harold; Lewis, D. J.
4
1963
Linear recurrences of order two. Zbl 0106.03501
Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
4
1961
\(p\)-adic forms. Zbl 0096.02503
Birch, B. J.; Lewis, D. J.
4
1960
Ideals and polynomial functions. Zbl 0073.02602
Lewis, D. J.
4
1956
Linear spaces on the intersection of cubic hypersurfaces. Zbl 0546.10018
Lewis, D. J.; Schulze-Pillot, Rainer
3
1984
Varieties of small degree over finite fields. Zbl 0281.14015
Lewis, Donald J.; Schuur, Susan E.
3
1973
The distribution of the values of real quadratic forms at integer points. Zbl 0265.10012
Lewis, D. J.
3
1973
Gaps between values of positive definite quadratic forms. Zbl 0259.10021
Davenport, Harold; Lewis, D. J.
3
1972
Two additive equations. Zbl 0226.10026
Davenport, Harold; Lewis, D. J.
3
1969
Singular quadratic forms. Zbl 0055.01205
Lewis, D. J.
3
1954
Diophantine problems: Solved and unsolved. Zbl 0685.10001
Lewis, D. J.
2
1989
Quadratic diophantine equations with parameters. Zbl 0446.10017
Lewis, D. J.; Schinzel, Andrzej
2
1980
On p-adic forms. Zbl 0122.25405
Birch, B. J.; Lewis, D. J.
2
1962
All integral solutions of \(2^n - 7 = x^2\) are given by \(n = 3, 4, 5, 7, 15\). Zbl 0096.25903
Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
2
1960
Mathematics instruction in the twenty-first century. Zbl 0903.00011
Lewis, D. J.
1
1998
On Ax-fields which are \(C_ i\). Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1
1983
Miscellany. Zbl 0325.14010
Lewis, D. J.
1
1972
Calculus and linear algebra. Vol. II: Vector spaces, many-variable calculus, and differential equations. Zbl 0209.36102
Kaplan, Wilfred; Lewis, Donald J.
1
1971
Systems of Diophantine equations. Zbl 0224.10020
Lewis, D. J.
1
1970
An extension of the theorem of Bauer and polynomials of certain special types. Zbl 0158.30102
Lewis, D. J.; Schinzel, Andrzej; Zassenhaus, Hans
1
1966
Notes on congruences. III. Zbl 0144.03902
Davenport, Harold; Lewis, D. J.
1
1966
Notes on congruences. II. Zbl 0124.27401
Davenport, Harold; Lewis, D. J.
1
1963
Two classes of diophantine equations. Zbl 0106.03502
Lewis, D. J.
1
1961
Diagonal forms over finite fields. Zbl 0112.25401
Lewis, D. J.
1
1960
Some Diophantine equations in quadratic number fields. Zbl 0088.03703
Chowla, Paromita; Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
1
1959
Mathematics instruction in the twenty-first century. Zbl 0903.00011
Lewis, D. J.
1
1998
Diophantine problems: Solved and unsolved. Zbl 0685.10001
Lewis, D. J.
2
1989
Some varieties with points only in a field extension. Zbl 0532.14011
Bremner, Andrew; Lewis, D. J.; Morton, Patrick
7
1984
Linear spaces on the intersection of cubic hypersurfaces. Zbl 0546.10018
Lewis, D. J.; Schulze-Pillot, Rainer
3
1984
On zeros of \(p\)-adic forms. Zbl 0531.10026
Lewis, D. J.; Montgomery, Hugh L.
9
1983
On Ax-fields which are \(C_ i\). Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1
1983
Quadratic diophantine equations with parameters. Zbl 0446.10017
Lewis, D. J.; Schinzel, Andrzej
2
1980
Varieties of small degree over finite fields. Zbl 0281.14015
Lewis, Donald J.; Schuur, Susan E.
3
1973
The distribution of the values of real quadratic forms at integer points. Zbl 0265.10012
Lewis, D. J.
3
1973
Invariant sets of morphisms on projective and affine number spaces. Zbl 0245.12003
Lewis, D. J.
9
1972
Gaps between values of positive definite quadratic forms. Zbl 0259.10021
Davenport, Harold; Lewis, D. J.
3
1972
Miscellany. Zbl 0325.14010
Lewis, D. J.
1
1972
Calculus and linear algebra. Vol. II: Vector spaces, many-variable calculus, and differential equations. Zbl 0209.36102
Kaplan, Wilfred; Lewis, Donald J.
1
1971
Systems of Diophantine equations. Zbl 0224.10020
Lewis, D. J.
1
1970
Simultaneous equations of additive type. Zbl 0207.35304
Davenport, Harold; Lewis, D. J.
24
1969
Two additive equations. Zbl 0226.10026
Davenport, Harold; Lewis, D. J.
3
1969
Cubic equations of additive type. Zbl 0227.10038
Davenport, Harold; Lewis, D. J.
11
1966
An extension of the theorem of Bauer and polynomials of certain special types. Zbl 0158.30102
Lewis, D. J.; Schinzel, Andrzej; Zassenhaus, Hans
1
1966
Notes on congruences. III. Zbl 0144.03902
Davenport, Harold; Lewis, D. J.
1
1966
Forms of degrees 7 and 11 over p-adic fields. Zbl 0277.10018
Laxton, R. R.; Lewis, D. J.
5
1965
Systems of three quadratic forms. Zbl 0152.01503
Birch, B. J.; Lewis, D. J.
4
1965
Polynomials of certain special types. Zbl 0126.27801
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
10
1964
Non-homogeneous cubic equations. Zbl 0125.02402
Davenport, Harold; Lewis, D. J.
10
1964
Homogeneous additive equations. Zbl 0118.28002
Davenport, Harold; Lewis, D. J.
28
1963
Character sums and primitive roots in finite fields. Zbl 0119.04302
Davenport, Harold; Lewis, D. J.
17
1963
Notes on congruences. I. Zbl 0113.26704
Davenport, Harold; Lewis, D. J.
17
1963
An analogue of a problem of Littlewood. Zbl 0107.04202
Davenport, Harold; Lewis, D. J.
4
1963
Notes on congruences. II. Zbl 0124.27401
Davenport, Harold; Lewis, D. J.
1
1963
Simultaneous quadratic forms. Zbl 0111.02001
Birch, B. J.; Lewis, D. J.; Murphy, T. G.
12
1962
The addition of norm forms. Zbl 0105.02804
Birch, B. J.; Davenport, Harold; Lewis, D. J.
10
1962
Exponential sums in many variables. Zbl 0118.28103
Davenport, Harold; Lewis, D. J.
8
1962
On p-adic forms. Zbl 0122.25405
Birch, B. J.; Lewis, D. J.
2
1962
Equations of the form \(f(x) = g(y)\). Zbl 0121.28403
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
18
1961
On the representation of integers by binary forms. Zbl 0102.03601
Lewis, Donald J.; Mahler, K.
18
1961
Polynomials over finite fields with minimal value sets. Zbl 0106.01105
Carlitz, Leonard; Lewis, D. J.; Mills, W. H.; Straus, E. G.
13
1961
Linear recurrences of order two. Zbl 0106.03501
Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
4
1961
Two classes of diophantine equations. Zbl 0106.03502
Lewis, D. J.
1
1961
\(p\)-adic forms. Zbl 0096.02503
Birch, B. J.; Lewis, D. J.
4
1960
All integral solutions of \(2^n - 7 = x^2\) are given by \(n = 3, 4, 5, 7, 15\). Zbl 0096.25903
Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
2
1960
Diagonal forms over finite fields. Zbl 0112.25401
Lewis, D. J.
1
1960
The diophantine equation \(2^{n+2}-7=x^2\) and related problems. Zbl 0089.26701
Skolem, Th.; Chowla, Sarvadaman; Lewis, D. J.
5
1959
Some Diophantine equations in quadratic number fields. Zbl 0088.03703
Chowla, Paromita; Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
1
1959
Cubic congruences. Zbl 0077.05101
Lewis, D. J.
11
1957
Cubic forms over algebraic number fields. Zbl 0081.04403
Lewis, D. J.
5
1957
Ideals and polynomial functions. Zbl 0073.02602
Lewis, D. J.
4
1956
Singular quadratic forms. Zbl 0055.01205
Lewis, D. J.
3
1954
Cubic homogeneous polynomials over \({\mathfrak p}\)-adic number fields. Zbl 0048.02602
Lewis, D. J.
18
1952
all top 5

Cited by 231 Authors

11 Schmidt, Wolfgang M.
7 Knapp, Michael P.
6 Brüdern, Jörg
5 Cook, Richard J.
5 Godinho, Hemar
4 Browning, Timothy Daniel
4 Fried, Michael David
4 Heath-Brown, Roger
4 Leep, David B.
4 Schinzel, Andrzej
4 Silverman, Joseph Hillel
4 Stewart, Cameron L.
4 Wooley, Trevor D.
3 Bombieri, Enrico
3 Bremner, Andrew
3 Dietmann, Rainer
3 Evertse, Jan-Hendrik
3 Gomez-Calderon, Javier
3 Halter-Koch, Franz
3 Harvey, M. P.
3 Lewis, Donald-J.
3 Luca, Florian
3 Narkiewicz, Władysław
3 Rodrigues, Paulo H. A.
3 Sárközy, András
3 Watson, George Leo
3 Winterhof, Arne
2 Akhtari, Shabnam
2 Alter, Ronald
2 Bilu, Yuri F.
2 Borges, Herivelto
2 Call, Gregory S.
2 Cassels, J. W. S.
2 Chang, Mei-Chu
2 Cochrane, Todd
2 Dubickas, Artūras
2 Flynn, Eugene Victor
2 Győry, Kálmán
2 Hinz, Jürgen G.
2 Katz, Nicholas Michael
2 Kollár, János
2 Kreso, Dijana
2 Kubota, Kenneth K.
2 Mauduit, Christian
2 Meir, Ivan D.
2 Nguyen Ngoc Dong Quan
2 Parsell, Scott T.
2 Pasten, Hector V.
2 Peruginelli, Giulio
2 Podsypanin, Evgeniĭ Vladimirovich
2 Privitelli, Melina
2 Pumplün, Susanne
2 Robert, Olivier
2 Shparlinski, Igor E.
2 Skorobogatov, Alexei Nikolaïevitch
2 Veras, Daiane S.
2 Verma, Manoj
2 von zur Gathen, Joachim
2 Wang, Qiang (Steven)
2 Williams, Kenneth S.
2 Wilson, Pelham Mark Hedley
2 Yukie, Akihiko
2 Zahid, Jahan
2 Zieve, Michael E.
1 Aitken, Wayne
1 Armitage, John Vernon
1 Artémiadis, Nicolas K.
1 Atkinson, O. D.
1 Avendano, Martin
1 Barg, Alexander M.
1 Bartoli, Daniele
1 Bengoechea, Paloma
1 Bennett, Michael A.
1 Beshaj, Lubjana
1 Beukers, Frits
1 Bézivin, Jean-Paul
1 Boye, A. John
1 Brandes, Julia
1 Brogan, William L.
1 Brownawell, W. Dale
1 Cafure, Antonio
1 Chakri, Lekbir
1 Chalk, John H. H.
1 Chamizo Lorente, Fernando
1 Chen, Chunsheng
1 Chou, Wunseng
1 Chow, Sam
1 Colliot-Thélène, Jean-Louis
1 Cui, Zhen
1 Cusick, Thomas W.
1 Dani, Shrikrishna Gopalrao
1 Dartyge, Cécile
1 de la Bretèche, Régis
1 de Souza Neto, Tertuliano C.
1 Denavit, J.
1 Derksen, Harm
1 Deshouillers, Jean-Marc
1 Dörner, Eberhard
1 Druţu, Cornelia
1 Dueñez, Eduardo
...and 131 more Authors
all top 5

Cited in 81 Serials

39 Journal of Number Theory
14 Mathematika
14 Monatshefte für Mathematik
12 Finite Fields and their Applications
10 Transactions of the American Mathematical Society
8 Duke Mathematical Journal
7 Compositio Mathematica
6 Inventiones Mathematicae
6 Proceedings of the American Mathematical Society
5 Journal of Algebra
4 Israel Journal of Mathematics
4 Rocky Mountain Journal of Mathematics
4 Mathematische Annalen
4 Indagationes Mathematicae. New Series
3 Mathematical Notes
3 Acta Mathematica
3 Advances in Mathematics
3 Glasgow Mathematical Journal
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Mathematische Zeitschrift
3 Michigan Mathematical Journal
3 International Journal of Number Theory
2 Bulletin of the Australian Mathematical Society
2 Communications in Algebra
2 Discrete Applied Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Mathematics of Computation
2 Acta Arithmetica
2 Journal of Soviet Mathematics
2 Nagoya Mathematical Journal
2 Journal of the American Mathematical Society
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 Computers & Mathematics with Applications
1 International Journal of Control
1 Journal of Computational Physics
1 Arkiv för Matematik
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Kodai Mathematical Journal
1 Mathematische Nachrichten
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Combinatorica
1 Journal of Symbolic Computation
1 International Journal of Mathematics
1 Designs, Codes and Cryptography
1 Geometric and Functional Analysis. GAFA
1 Historia Mathematica
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Applicable Algebra in Engineering, Communication and Computing
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Complexity
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Mathematical Sciences (New York)
1 Electronic Research Announcements of the American Mathematical Society
1 Documenta Mathematica
1 The Ramanujan Journal
1 LMS Journal of Computation and Mathematics
1 Journal of the Australian Mathematical Society
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Algebra and its Applications
1 Bulletin of the American Mathematical Society
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Proceedings of the Steklov Institute of Mathematics
1 Algebra & Number Theory
1 Albanian Journal of Mathematics
1 Science China. Mathematics
1 Journal of Mathematics
1 Philosophical Transactions A. Royal Society of London
1 Research in Number Theory

Citations by Year

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