Edit Profile (opens in new tab) Lewis, Donald-J. Co-Author Distance Author ID: lewis.donald-j Published as: Lewis, D. J.; Lewis, Donald J. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 61 Publications since 1952, including 3 Books 1 Contribution as Editor Co-Authors: 26 Co-Authors with 41 Joint Publications 553 Co-Co-Authors all top 5 Co-Authors 20 single-authored 16 Davenport, Harold 5 Birch, Bryan John 5 Chowla, Sarvadaman 5 Schinzel, Andrzej 4 Dunton, M. 3 Morton, Patrick 2 Chowla, Paromita 2 Kaplan, Wilfred 1 Bremner, Andrew 1 Carlitz, Leonard 1 Coray, Daniel François 1 Denef, Jan 1 Holmes, Philip J. 1 Jarden, Moshe 1 Laxton, R. R. 1 Mahler, Kurt 1 Mills, William Harold 1 Montgomery, Hugh Lowell 1 Murphy, T. G. 1 Schulze-Pillot, Rainer 1 Schuur, Susan E. 1 Shepherd-Barron, Nicholas Ian 1 Skolem, Thoralf 1 Straus, Ernst G. 1 Swinnerton-Dyer, Peter 1 Turk, Jan 1 Zassenhaus, Hans Julius all top 5 Serials 7 Acta Arithmetica 5 Michigan Mathematical Journal 5 The Quarterly Journal of Mathematics. Oxford Second Series 3 American Journal of Mathematics 3 Mathematika 3 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 2 Journal für die Reine und Angewandte Mathematik 2 Pacific Journal of Mathematics 2 Philosophical Transactions of the Royal Society of London. Ser. A 1 International Journal of Non-Linear Mechanics 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of the Faculty of Science. Section I A 1 The Journal of the Indian Mathematical Society. New Series 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Notices of the American Mathematical Society 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Journal of the London Mathematical Society 1 Proceedings of Symposia in Pure Mathematics all top 5 Fields 33 Number theory (11-XX) 8 Algebraic geometry (14-XX) 4 Field theory and polynomials (12-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 28 Fields 246 Number theory (11-XX) 62 Algebraic geometry (14-XX) 29 Field theory and polynomials (12-XX) 9 Commutative algebra (13-XX) 6 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Topological groups, Lie groups (22-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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