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Author ID: lewis.donald-j Recent zbMATH articles by "Lewis, Donald-J."
Published as: Lewis, D. J.; Lewis, Donald J.
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Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 372 times in 279 Documents Cited by Year
Homogeneous additive equations. Zbl 0118.28002
Davenport, Harold; Lewis, D. J.
34
1963
Equations of the form \(f(x) = g(y)\). Zbl 0121.28403
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
25
1961
Simultaneous equations of additive type. Zbl 0207.35304
Davenport, Harold; Lewis, D. J.
24
1969
Character sums and primitive roots in finite fields. Zbl 0119.04302
Davenport, Harold; Lewis, D. J.
23
1963
Cubic homogeneous polynomials over \(\mathfrak p\)-adic number fields. Zbl 0048.02602
Lewis, D. J.
23
1952
On the representation of integers by binary forms. Zbl 0102.03601
Lewis, Donald J.; Mahler, K.
20
1961
Notes on congruences. I. Zbl 0113.26704
Davenport, Harold; Lewis, D. J.
18
1963
Polynomials over finite fields with minimal value sets. Zbl 0106.01105
Carlitz, Leonard; Lewis, D. J.; Mills, W. H.; Straus, E. G.
16
1961
Polynomials of certain special types. Zbl 0126.27801
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
14
1964
Cubic congruences. Zbl 0077.05101
Lewis, D. J.
13
1957
Simultaneous quadratic forms. Zbl 0111.02001
Birch, B. J.; Lewis, D. J.; Murphy, T. G.
12
1962
Non-homogeneous cubic equations. Zbl 0125.02402
Davenport, Harold; Lewis, D. J.
12
1964
Cubic equations of additive type. Zbl 0227.10038
Davenport, Harold; Lewis, D. J.
11
1966
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
Some varieties with points only in a field extension. Zbl 0532.14011
Bremner, Andrew; Lewis, D. J.; Morton, Patrick
8
1984
Exponential sums in many variables. Zbl 0118.28103
Davenport, Harold; Lewis, D. J.
8
1962
Cubic forms over algebraic number fields. Zbl 0081.04403
Lewis, D. J.
6
1957
The diophantine equation \(2^{n+2}-7=x^2\) and related problems. Zbl 0089.26701
Skolem, Th.; Chowla, Sarvadaman; Lewis, D. J.
5
1959
\(p\)-adic forms. Zbl 0096.02503
Birch, B. J.; Lewis, D. J.
5
1960
An analogue of a problem of Littlewood. Zbl 0107.04202
Davenport, Harold; Lewis, D. J.
5
1963
The distribution of the values of real quadratic forms at integer points. Zbl 0265.10012
Lewis, D. J.
5
1973
Ideals and polynomial functions. Zbl 0073.02602
Lewis, D. J.
4
1956
Linear recurrences of order two. Zbl 0106.03501
Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
4
1961
Systems of three quadratic forms. Zbl 0152.01503
Birch, B. J.; Lewis, D. J.
4
1965
Two additive equations. Zbl 0226.10026
Davenport, Harold; Lewis, D. J.
4
1969
Gaps between values of positive definite quadratic forms. Zbl 0259.10021
Davenport, Harold; Lewis, D. J.
4
1972
Forms of degrees 7 and 11 over p-adic fields. Zbl 0277.10018
Laxton, R. R.; Lewis, D. J.
4
1965
Varieties of small degree over finite fields. Zbl 0281.14015
Lewis, Donald J.; Schuur, Susan E.
4
1973
Linear spaces on the intersection of cubic hypersurfaces. Zbl 0546.10018
Lewis, D. J.; Schulze-Pillot, Rainer
3
1984
Singular quadratic forms. Zbl 0055.01205
Lewis, D. J.
3
1954
On p-adic forms. Zbl 0122.25405
Birch, B. J.; Lewis, D. J.
3
1962
Diophantine problems: Solved and unsolved. Zbl 0685.10001
Lewis, D. J.
2
1989
A periodically forced scalar ordinary differential equation. Zbl 0486.34029
Holmes, Philip; Lewis, Donald
2
1981
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
Notes on congruences. III. Zbl 0144.03902
Davenport, Harold; Lewis, D. J.
2
1966
Quadratic diophantine equations with parameters. Zbl 0446.10017
Lewis, D. J.; Schinzel, Andrzej
2
1980
On Ax-fields which are \(C_ i\). Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1
1983
Mathematics instruction in the twenty-first century. Zbl 0903.00011
Lewis, D. J.
1
1998
Calculus and linear algebra. Vol. II: Vector spaces, many-variable calculus, and differential equations. Zbl 0209.36102
Kaplan, Wilfred; Lewis, Donald J.
1
1971
Some Diophantine equations in quadratic number fields. Zbl 0088.03703
Chowla, Paromita; Chowla, Sarvadaman; Dunton, M.; Lewis, D. J.
1
1959
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
Notes on congruences. II. Zbl 0124.27401
Davenport, Harold; Lewis, D. J.
1
1963
Quadratic diophantine equations with a parameter. Zbl 0139.27101
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
1
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
1969 Number Theory Institute. Proceedings of the 1969 summer institute on number theory. Analytic number theory, diophantine problems, and algebraic number theory. Held at the State University of New York at Stony Brook. Stony Brook, Long Island, New York, Juli 7 – August 1, 1969. Zbl 0212.30702
1
1971
Diophantine equations and inequalities in many variables. Zbl 0311.10022
Lewis, D. J.
1
1971
Miscellany. Zbl 0325.14010
Lewis, D. J.
1
1972
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
8
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
A periodically forced scalar ordinary differential equation. Zbl 0486.34029
Holmes, Philip; Lewis, Donald
2
1981
Quadratic diophantine equations with parameters. Zbl 0446.10017
Lewis, D. J.; Schinzel, Andrzej
2
1980
The distribution of the values of real quadratic forms at integer points. Zbl 0265.10012
Lewis, D. J.
5
1973
Varieties of small degree over finite fields. Zbl 0281.14015
Lewis, Donald J.; Schuur, Susan E.
4
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.
4
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
1969 Number Theory Institute. Proceedings of the 1969 summer institute on number theory. Analytic number theory, diophantine problems, and algebraic number theory. Held at the State University of New York at Stony Brook. Stony Brook, Long Island, New York, Juli 7 – August 1, 1969. Zbl 0212.30702
1
1971
Diophantine equations and inequalities in many variables. Zbl 0311.10022
Lewis, D. J.
1
1971
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.
4
1969
Cubic equations of additive type. Zbl 0227.10038
Davenport, Harold; Lewis, D. J.
11
1966
Notes on congruences. III. Zbl 0144.03902
Davenport, Harold; Lewis, D. J.
2
1966
Quadratic diophantine equations with a parameter. Zbl 0139.27101
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
1
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
Systems of three quadratic forms. Zbl 0152.01503
Birch, B. J.; Lewis, D. J.
4
1965
Forms of degrees 7 and 11 over p-adic fields. Zbl 0277.10018
Laxton, R. R.; Lewis, D. J.
4
1965
Polynomials of certain special types. Zbl 0126.27801
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
14
1964
Non-homogeneous cubic equations. Zbl 0125.02402
Davenport, Harold; Lewis, D. J.
12
1964
Homogeneous additive equations. Zbl 0118.28002
Davenport, Harold; Lewis, D. J.
34
1963
Character sums and primitive roots in finite fields. Zbl 0119.04302
Davenport, Harold; Lewis, D. J.
23
1963
Notes on congruences. I. Zbl 0113.26704
Davenport, Harold; Lewis, D. J.
18
1963
An analogue of a problem of Littlewood. Zbl 0107.04202
Davenport, Harold; Lewis, D. J.
5
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.
3
1962
Equations of the form \(f(x) = g(y)\). Zbl 0121.28403
Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej
25
1961
On the representation of integers by binary forms. Zbl 0102.03601
Lewis, Donald J.; Mahler, K.
20
1961
Polynomials over finite fields with minimal value sets. Zbl 0106.01105
Carlitz, Leonard; Lewis, D. J.; Mills, W. H.; Straus, E. G.
16
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.
5
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.
13
1957
Cubic forms over algebraic number fields. Zbl 0081.04403
Lewis, D. J.
6
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.
23
1952
all top 5

Cited by 276 Authors

11 Schmidt, Wolfgang M.
9 Knapp, Michael P.
6 Brüdern, Jörg
6 Leep, David B.
5 Fried, Michael David
5 Godinho, Hemar
5 Zieve, Michael E.
4 Borges, Herivelto
4 Browning, Timothy Daniel
4 Dietmann, Rainer
4 Dubickas, Artūras
4 Heath-Brown, Roger
4 Rodrigues, Paulo H. A.
4 Schinzel, Andrzej
4 Silverman, Joseph Hillel
4 Stewart, Cameron L.
4 Winterhof, Arne
4 Wooley, Trevor D.
3 Bombieri, Enrico
3 Brandes, Julia
3 Bremner, Andrew
3 Cochrane, Todd
3 Ding, Zhiguo
3 Evertse, Jan-Hendrik
3 Gomez-Calderon, Javier
3 Hajdu, Lajos
3 Halter-Koch, Franz
3 Harvey, M. P.
3 Lewis, Donald-J.
3 Luca, Florian
3 Narkiewicz, Władysław
3 Parsell, Scott T.
3 Sárközy, András
3 Tijdeman, Robert
3 Veras, Daiane S.
3 Watson, George Leo
2 Akhtari, Shabnam
2 Alter, Ronald
2 Bilu, Yuri F.
2 Buterus, Paul
2 Call, Gregory S.
2 Cassels, John William Scott
2 Chakri, Lekbir
2 Chang, Mei-Chu
2 Dèbes, Pierre
2 Flynn, Eugene Victor
2 Freeman, D. Eric
2 Götze, Friedrich
2 Győry, Kálmán
2 Hille, Thomas
2 Hinz, Jürgen G.
2 Kaesberg, Miriam Sophie
2 Katz, Nicholas Michael
2 Kollár, János
2 Kreso, Dijana
2 Kubota, Kenneth K.
2 Margulis, Grigoriĭ Aleksandrovich
2 Mauduit, Christian
2 Meir, Ivan D.
2 Nguyen Ngoc Dong Quan
2 Pasten, Hector V.
2 Peruginelli, Giulio
2 Pierce, Lillian B.
2 Podsypanin, Evgeniĭ Vladimirovich
2 Privitelli, Melina
2 Pumplün, Susanne
2 Reis, Lucas
2 Robert, Olivier
2 Shparlinski, Igor E.
2 Skinner, Christopher M.
2 Skorobogatov, Alexei Nikolaïevitch
2 Spencer, Craig V.
2 Stix, Jakob
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
1 Adiceam, Faustin
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 Bayad, Abdelmejid
1 Bengoechea, Paloma
1 Bennett, Michael A.
1 Beshaj, Lubjana
1 Beukers, Frits
1 Bézivin, Jean-Paul
1 Boye, A. John
1 Bravo, Eric Fernando
1 Bravo, Jhon Jairo
1 Brogan, William L.
1 Broll, Christopher
1 Brownawell, W. Dale
...and 176 more Authors
all top 5

Cited in 87 Serials

41 Journal of Number Theory
14 Mathematika
14 Monatshefte für Mathematik
14 Finite Fields and their Applications
10 Transactions of the American Mathematical Society
9 Duke Mathematical Journal
9 International Journal of Number Theory
8 Inventiones Mathematicae
7 Compositio Mathematica
7 Proceedings of the American Mathematical Society
6 Journal of Algebra
5 Rocky Mountain Journal of Mathematics
5 Mathematische Annalen
4 Communications in Algebra
4 Israel Journal of Mathematics
4 Mathematische Zeitschrift
4 Indagationes Mathematicae. New Series
3 Mathematical Notes
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Periodica Mathematica Hungarica
3 Acta Arithmetica
3 Acta Mathematica
3 Advances in Mathematics
3 Glasgow Mathematical Journal
3 Journal of the London Mathematical Society. Second Series
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Michigan Mathematical Journal
3 Algebra & Number Theory
3 Albanian Journal of Mathematics
2 Bulletin of the Australian Mathematical Society
2 Discrete Applied Mathematics
2 Mathematics of Computation
2 Archiv der Mathematik
2 Journal of Pure and Applied Algebra
2 Journal of Soviet Mathematics
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Journal of the American Mathematical Society
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Geometric and Functional Analysis. GAFA
2 The Ramanujan Journal
2 Journal of Algebra and its Applications
2 Research in Number Theory
1 International Journal of Control
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Arkiv för Matematik
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Canadian Mathematical Bulletin
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Computational and Applied Mathematics
1 Kodai Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
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 The Journal of Geometric Analysis
1 Designs, Codes and Cryptography
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 LMS Journal of Computation and Mathematics
1 La Gaceta de la Real Sociedad Matemática Española
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Oberwolfach Reports
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 Applicable Analysis and Discrete Mathematics
1 Science China. Mathematics
1 Journal of Mathematics
1 Philosophical Transactions A. Royal Society of London
1 Transactions of the American Mathematical Society. Series B

Citations by Year

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