Edit Profile (opens in new tab) de Bruijn, Nicolaas Govert Compute Distance To: Compute Author ID: de-bruijn.nicolaas-govert Published as: de Bruijn, N. G.; de Bruijn, Nicolaas Govert; Bruijn, N. G.; de Bruijn, Nicolaas G.; De Bruijn, N. G.; de Bruijn, N. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 165 Publications since 1937, including 13 Books 4 Further Contributions Biographic References: 15 Publications Co-Authors: 20 Co-Authors with 31 Joint Publications 795 Co-Co-Authors all top 5 Co-Authors 135 single-authored 6 Erdős, Pál 4 van Lint, Jacobus Hendricus 3 Klarner, David Anthony 2 Bouwkamp, Christoffel Jacob 2 Knuth, Donald Ervin 2 Springer, Tonny Albert 2 van Aardenne-Ehrenfest, Tatyana Pavlovna 1 Anderson, Robert Brockett 1 Andrews, Peter B. 1 Barendregt, Hendrik Pieter 1 Beckenbach, Edwin Ford 1 Bendix, P. B. 1 Bennett, J. H. 1 Binkley, Robert W. 1 Bledsoe, Woodrow W. 1 Böhm, Corrado 1 Bunder, Martin W. 1 Carson, Daniel F. 1 Clark, Robert L. 1 Coppo, Mario 1 Davydov, G. V. 1 Dezani-Ciancaglini, Mariangiola 1 Diaz, Joaquin Basilio 1 Diller, Justus 1 Fan, Ky 1 Feferman, Solomon 1 Fitch, Frederic Brenton 1 Friedman, Avner 1 Gandy, Robin O. 1 Gilmore, Paul C. 1 Gosselin, Richard P. 1 Guard, J. R. 1 Hayes, Patrick J. 1 Henschen, Lawrence J. 1 Hindley, J. Roger 1 Howard, William Alvin 1 Karlin, Samuel 1 Kearns, John T. 1 Klop, Jan Willem 1 Korevaar, Jacob 1 Koymans, Karst 1 Kruyswijk, D. 1 Kuzichev, Alexander Sergeevich 1 Lambek, Joachim 1 Lemmens, P. W. H. 1 Levy, Jean-Jacques 1 Littlewood, John Edensor 1 Longo, Giuseppe 1 Loveland, Donald W. 1 Luckham, David C. 1 Marcus, Marvin D. 1 Marshall, Albert W. 1 Maslov, S. Yu. 1 Meredith, David 1 Metcalf, Frederic T. 1 Mints, Grigoriĭ Efroimovich 1 Mitschke, Gerd 1 Monna, Antonie Frans 1 Morris, James B. 1 Morselt, B. J. M. 1 Motzkin, Theodore Samuel 1 Oglesby, F. C. 1 Olkin, Ingram 1 Orevkov, V. P. 1 Payne, Lawrence Edward 1 Plotkin, Gordon D. 1 Pólya, George 1 Post, Karel Albertus 1 Pottinger, Garrel 1 Prawitz, Dag 1 Proschan, Frank 1 Rice, Stephen O. 1 Robinson, George A. 1 Robinson, John Alan 1 Sanchis, Luis Elpidio 1 Schoenberg, Isaac Jacob 1 Scott, Dana Stewart 1 Seldin, Jonathan P. 1 Settle, L. G. 1 Shalla, Leon 1 Shisha, D. 1 Shisha, Oved 1 Siekmann, Jörg H. 1 Slagle, James R. 1 Slisenko, A. O. 1 Statman, Richard 1 Szekeres, George 1 Taussky-Todd, Olga 1 Todd, John 1 Tsejtin, G. S. 1 van Dalen, Dirk 1 van Dantzig, David 1 Van der Blij, Frederik 1 van der Meiden, W. 1 van Ebbenhorst Tengbergen, Cornelia 1 Veneri, B. 1 Visser, Albert 1 Wadsworth, Christopher P. 1 Weinstein, Alexander 1 Wilf, Herbert S. ...and 5 more Co-Authors all top 5 Serials 27 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 12 Indagationes Mathematicae 12 Proceedings. Akadamie van Wetenschappen Amsterdam 11 Nieuw Archief voor Wiskunde. Derde Serie 11 Nieuw Archief voor Wiskunde. Tweede Serie 4 Simon Stevin 4 Nieuw Archief voor Wiskunde. Vierde Serie 4 Nieuw Archief voor Wiskunde. Vijfde Serie 3 Journal of Mathematical Analysis and Applications 3 Verslag van de Gewone Vergadering van de Afdeling Natuurkunde 3 Philips Research Reports 3 Mathematica, Section B 2 Discrete Mathematics 2 Acta Arithmetica 2 The Journal of the Indian Mathematical Society. New Series 2 Publicationes Mathematicae Debrecen 2 Journal of Combinatorial Theory 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Journal of Research of the National Bureau of Standards 1 Philips Journal of Research 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 American Journal of Mathematics 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Euclides 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse 1 Theoretical Computer Science 1 SIAM Journal on Algebraic and Discrete Methods 1 Information and Computation 1 Designs, Codes and Cryptography 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Bulletin of the American Mathematical Society 1 The Philosophical Magazine, VII. Series 1 CWI Syllabus 1 Annales Academiae Scientiarum Fennicae. Series A I all top 5 Fields 27 Combinatorics (05-XX) 17 Mathematical logic and foundations (03-XX) 16 Computer science (68-XX) 10 History and biography (01-XX) 10 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 4 Sequences, series, summability (40-XX) 4 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 2,573 times in 2,211 Documents Cited by ▼ Year ▼ A combinatorial problem. Zbl 0060.02701de Bruijn, N. G. 193 1946 Asymptotic methods in analysis. Zbl 0082.04202de Bruijn, N. G. 176 1958 Asymptotic methods in analysis. Corr. reprint of the 3rd ed. Zbl 0556.41021de Bruijn, N. G. 171 1981 Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem. Zbl 0253.68007de Bruijn, N. G. 165 1972 On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0042.04204de Bruijn, N. G. 110 1951 A colour problem for infinite graphs and a problem in the theory of relations. Zbl 0044.38203de Bruijn, N. G.; Erdős, Pál 101 1951 On the set of divisors of a number. Zbl 0043.04301de Bruijn, N. G.; van Ebbenhorst Tengbergen, C.; Kruyswijk, D. 77 1951 The average height of planted plane trees. Zbl 0247.05106de Bruijn, N. G.; Knuth, D. E.; Rice, S. O. 76 1972 Circuits and trees in oriented linear graphs. Zbl 0044.38201van Aardenne-Ehrenfest, T.; de Bruijn, N. G. 73 1951 Asymptotic methods in analysis. 2nd edition. Zbl 0109.03502de Bruijn, N. G. 70 1961 On some multiple integrals involving determinants. Zbl 0068.24904de Bruijn, N. G. 64 1955 Algebraic theory of Penrose’s non-periodic tilings of the plane. II. Zbl 0457.05022de Bruijn, N. G. 64 1981 Inequalities concerning polynomials in the complex domain. Zbl 0029.19802de Bruijn, N. G. 60 1947 The roots of trigonometric integrals. Zbl 0038.23302de Bruijn, N. G. 58 1950 On a combinatorial problem. Zbl 0032.24405de Bruijn, N. G.; Erdős, Pál 55 1948 Polya’s theory of counting. Zbl 0144.00601de Bruijn, N. G. 55 1964 On the number of positive integers \(\leq x\) and free of prime factors \(>y\). II. Zbl 0139.27203de Bruijn, N. G. 48 1966 The asymptotic behaviour of a function occuring in the theory of primes. Zbl 0043.06502de Bruijn, N. G. 46 1951 Algebraic theory of Penrose’s non-periodic tilings of the plane. I. Zbl 0457.05021de Bruijn, N. G. 43 1981 On the factorization of cyclic groups. Zbl 0051.25803de Bruijn, N. G. 38 1953 Permutations with given ups and downs. Zbl 0203.30601de Bruijn, N. G. 31 1970 Functions whose differences belong to a given class. Zbl 0042.28805de Bruijn, N. G. 30 1951 On Mahler’s partition problem. Zbl 0030.34502Bruijn, N. G. 27 1948 The difference-differential equation \(F'(x)=e^{\alpha x + \beta}F(x-1)\). I, II. Zbl 0053.38703de Bruijn, N. G. 27 1953 Pairs of slowly oscillating functions occurring in asymptotic problems concerning the Laplace transform. Zbl 0086.08801de Bruijn, N. G. 24 1959 The mathematical language AUTOMATH, its usage, and some of its extensions. Zbl 0208.20101de Bruijn, N. G. 24 1970 Asymptotic methods in analysis. (Асимптотические методы в анализе. Translated from the English.) Zbl 0098.26404de Bruijn, N. G. 24 1961 On the number of uncancelled elements in the sieve of Eratosthenes. Zbl 0037.03001de Bruijn, N. G. 23 1950 A note on slowly oscillating functions. Zbl 0045.33503Korevaar, J.; van Aardenne-Ehrenfest, T.; de Bruijn, N. G. 22 1949 On bases for the set of integers. Zbl 0038.18502de Bruijn, N. G. 20 1950 Generalization of Polya’s fundamental theorem in enumerative combinatorial analysis. Zbl 0085.00901de Bruijn, N. G. 20 1959 Sequences of zeros and ones generated by special production rules. Zbl 0471.10007de Bruijn, N. G. 19 1981 On almost additive functions. Zbl 0147.12602de Bruijn, N. G. 19 1966 Automation of reasoning. 2: Classical papers on computational logic 1967- 1970. Zbl 0567.03002 18 1983 A theory of generalized functions, with applications to Wigner distribution and Weyl correspondence. Zbl 0269.46033de Bruijn, N. G. 18 1973 A note on plane trees. Zbl 0147.24005de Bruijn, N. G.; Morselt, B. J. M. 18 1967 The asymptotically periodic behavior of the solutions of some linear functional equations. Zbl 0033.27002de Bruijn, N. G. 17 1949 To H. B. Curry: Essays on combinatory logic, lambda calculus and formalism. Zbl 0469.03006 17 1980 On the zeros of composition-polynomials. Zbl 0031.10504de Bruijn, N. G.; Springer, T. A. 16 1947 On some linear functional equations. Zbl 0036.19501de Bruijn, N. G. 16 1950 A difference property for Riemann integrable functions and for some similar classes of functions. Zbl 0047.06202de Bruijn, N. G. 16 1952 Some linear and some quadratic recursion formulas. II. Zbl 0047.06303de Bruijn, N. G.; Erdős, Pál 16 1952 On the factorization of finite Abelian groups. Zbl 0050.25704de Bruijn, N. G. 16 1953 On number systems. Zbl 0073.02704de Bruijn, N. G. 16 1956 Filling boxes with bricks. Zbl 0174.25501de Bruijn, N. G. 15 1969 Acknowledgement of priority to C. Flye Sainte-Marie on the counting of circular arrangements of \(2^n\) zeros and ones that show each \(n\)-letter word exactly once. Zbl 0323.05119de Bruijn, N. G. 14 1975 Color patterns that are invariant under a given permutation of the colors. Zbl 0158.01401de Bruijn, N. G. 14 1967 Generalizing Automath by means of a lambda-typed lambda calculus. Zbl 0648.68099de Bruijn, N. G. 14 1987 On a recursion formula and some Tauberian theorems. Zbl 0053.36903de Bruijn, N. G.; Erdős, Pál 13 1953 A combinatorial problem. Zbl 0196.02803de Bruijn, N. G. 13 1946 On the zeros of a polynomial and of its derivate. II. Zbl 0029.19801de Bruijn, N. G.; Springer, T. A. 12 1947 Quasi-crystals and their Fourier transform. Zbl 0617.05022de Bruijn, N. G. 12 1986 Telescopic mappings in typed lambda calculus. Zbl 0723.68024de Bruijn, N. G. 12 1991 Embedding theorems for infinite groups. Zbl 0079.02802de Bruijn, N. G. 11 1957 Lambda calculus with namefree formulas involving symbols that represent reference transforming mappings. Zbl 0393.03009de Bruijn, N. G. 10 1978 Incomplete sums of multiplicative functions. I, II. Zbl 0131.28703de Bruijn, N. G.; van Lint, J. H. 10 1964 Updown generation of Beatty sequences. Zbl 0694.10007de Bruijn, N. G. 8 1989 A survey of generalizations of Polya’s enumeration theorem. Zbl 0239.05006de Bruijn, N. G. 8 1971 Updown generation of Penrose patterns. Zbl 0716.52005de Bruijn, N. G. 7 1990 A namefree lambda calculus with facilities for internal definition of expressions and segments. Zbl 0423.68048de Bruijn, N. G. 7 1978 Enumeration of generalized graphs. Zbl 0167.52301de Bruijn, N. G.; Klarner, D. A. 7 1969 Some linear and some quadratic recursion formulas. I. Zbl 0044.06003de Bruijn, N. G.; Erdős, Pál 6 1951 On some exponential and polar representations of matrices. Zbl 0064.24702de Bruijn, N. G.; Szekeres, George 6 1955 Exact finite models for minimal propositional calculus over a finite alphabet. Zbl 0317.02023de Bruijn, N. G. 6 1975 Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102 6 1967 On the number of integers \(\leqq x\) whose prime factors divide \(n\). Zbl 0100.03703de Bruijn, N. G. 6 1962 On Hilbert’s inequality in \(n\) dimensions. Zbl 0105.04201de Bruijn, N. G.; Wilf, Herbert S. 6 1962 A plea for weaker frameworks. Zbl 0754.03011de Bruijn, N. G. 5 1991 On some Volterra integral equations of which all solutions are convergent. Zbl 0038.26602de Bruijn, N. G. 5 1950 On the zeros of a polynomial and of its derivative. Zbl 0060.05604de Bruijn, N. G. 5 1946 Sorting by means of swappings. Zbl 0288.05010de Bruijn, N. G. 5 1974 Remarks on Hermitian matrices. Zbl 0436.15017de Bruijn, N. G. 5 1980 Enumerative combinatorial problems concerning structures. Zbl 0122.24803de Bruijn, N. G. 5 1963 Some direct decompositions of the set of integers. Zbl 0126.27903de Bruijn, N. G. 5 1964 Enumeration of mapping patterns. Zbl 0239.05007de Bruijn, N. G. 5 1972 Sequences of points on a circle. Zbl 0031.34803de Bruijn, N. G.; Erdős, Pál 4 1949 Some classes of integer-valued functions. Zbl 0067.27301de Bruijn, N. G. 4 1955 Inequalities concerning minors and eigenvalues. Zbl 0074.25202de Bruijn, N. G. 4 1956 The Lagrange-Good inversion formula and its application to integral equations. Zbl 0517.45002de Bruijn, N. G. 4 1983 Modulated quasicrystals. Zbl 0646.05018de Bruijn, N. G. 4 1987 Defining reals without the use of rationals. Zbl 0324.10054de Bruijn, N. G. 4 1976 Automath a language for mathematics. Zbl 0346.68011de Bruijn, Nicolaas Govert 4 1973 An asymptotic problem on iterated functions. Zbl 0409.39004de Bruijn, N. G. 4 1979 Addendum to ‘Embedding theorems for infinite groups’. Zbl 0122.03001de Bruijn, N. G. 4 1964 A remark on uniformly distributed sequences and Riemann integrability. Zbl 0169.38401Bruijn, N. G.; Post, K. A. 4 1968 Automath, a language for mathematics. Zbl 0174.48401de Bruijn, N. G. 4 1968 Denumerations of rooted trees and multisets. Zbl 0515.05006de Bruijn, N. G. 3 1983 A note on the Cauchy-Frobenius lemma. Zbl 0412.05008de Bruijn, N. G. 3 1979 Multisets of aperiodic cycles. Zbl 0503.05002de Bruijn, N. G.; Klarner, D. A. 3 1982 Notes on Gelfand’s theory. Zbl 0175.13805de Bruijn, N. G.; van der Meiden, W. 3 1967 On the number of integers \(\ll x\) whose prime factors divide \(n\). Zbl 0201.37601de Bruijn, N. G.; van Lint, J. H. 3 1963 On Turán’s first main theorem. Zbl 0097.03901de Bruijn, N. G. 3 1960 Ein Satz über schlichte Funktionen. Zbl 0024.33301de Bruijn, N. G. 2 1941 An analogue of Grace’s apolarity theorem. Zbl 0031.21201de Bruijn, N. G. 2 1949 Some theorems on the roots of polynomials. Zbl 0032.00201de Bruijn, N. G. 2 1949 The problem of optimum antenna current distribution. Zbl 0063.00576Bouwkamp, C. J.; de Bruijn, N. G. 2 1946 Function theory in Banach algebras. Zbl 0082.29502de Bruijn, N. G. 2 1958 A riffle shuffle card trick and its relation to quasicrystal theory. Zbl 0641.52006de Bruijn, N. G. 2 1987 Mathematics and computers. Zbl 0701.00040de Bruijn, N. G. 2 1989 Set theory with type restrictions. Zbl 0302.02002de Bruijn, N. G. 2 1975 Jaap Seidel, a friend. Zbl 1239.01112de Bruijn, N. G. 2 2001 Jaap Seidel 80. Zbl 0968.01033de Bruijn, N. G. 1 2000 Remembering Kloosterman. Zbl 0960.01022de Bruijn, N. G. 1 2000 Type-theoretical checking and philosophy of mathematics. Zbl 0947.03006de Bruijn, Nicolaas Govert 1 1998 Remarks on Penrose tilings. 1st ed. Zbl 0865.05031de Bruijn, N. G. 1 1997 Penrose patterns are almost entirely determined by two points. Zbl 0757.52017de Bruijn, N. G. 1 1992 Telescopic mappings in typed lambda calculus. Zbl 0723.68024de Bruijn, N. G. 12 1991 A plea for weaker frameworks. Zbl 0754.03011de Bruijn, N. G. 5 1991 Updown generation of Penrose patterns. Zbl 0716.52005de Bruijn, N. G. 7 1990 Updown generation of Beatty sequences. Zbl 0694.10007de Bruijn, N. G. 8 1989 Mathematics and computers. Zbl 0701.00040de Bruijn, N. G. 2 1989 Generalizing Automath by means of a lambda-typed lambda calculus. Zbl 0648.68099de Bruijn, N. G. 14 1987 Modulated quasicrystals. Zbl 0646.05018de Bruijn, N. G. 4 1987 A riffle shuffle card trick and its relation to quasicrystal theory. Zbl 0641.52006de Bruijn, N. G. 2 1987 Quasi-crystals and their Fourier transform. Zbl 0617.05022de Bruijn, N. G. 12 1986 In memoriam T. van Aardenne-Ehrenfest, 1905-1984. Zbl 0593.01004de Bruijn, N. G. 1 1985 Formalization of constructivity in Automath. Zbl 0562.03032de Bruijn, N. G. 1 1984 Automation of reasoning. 2: Classical papers on computational logic 1967- 1970. Zbl 0567.03002 18 1983 The Lagrange-Good inversion formula and its application to integral equations. Zbl 0517.45002de Bruijn, N. G. 4 1983 Denumerations of rooted trees and multisets. Zbl 0515.05006de Bruijn, N. G. 3 1983 Sorting arrays by means of swaps. Zbl 0512.68040de Bruijn, N. G. 1 1983 A sorting machine. Zbl 0512.68041de Bruijn, N. G. 1 1983 Multisets of aperiodic cycles. Zbl 0503.05002de Bruijn, N. G.; Klarner, D. A. 3 1982 Asymptotic methods in analysis. Corr. reprint of the 3rd ed. Zbl 0556.41021de Bruijn, N. G. 171 1981 Algebraic theory of Penrose’s non-periodic tilings of the plane. II. Zbl 0457.05022de Bruijn, N. G. 64 1981 Algebraic theory of Penrose’s non-periodic tilings of the plane. I. Zbl 0457.05021de Bruijn, N. G. 43 1981 Sequences of zeros and ones generated by special production rules. Zbl 0471.10007de Bruijn, N. G. 19 1981 To H. B. Curry: Essays on combinatory logic, lambda calculus and formalism. Zbl 0469.03006 17 1980 Remarks on Hermitian matrices. Zbl 0436.15017de Bruijn, N. G. 5 1980 Counting complete matchings without using Pfaffians. Zbl 0458.05048de Bruijn, N. G. 1 1980 An asymptotic problem on iterated functions. Zbl 0409.39004de Bruijn, N. G. 4 1979 A note on the Cauchy-Frobenius lemma. Zbl 0412.05008de Bruijn, N. G. 3 1979 On the number of partition patterns of a set. Zbl 0412.05009de Bruijn, N. G. 2 1979 Lambda calculus with namefree formulas involving symbols that represent reference transforming mappings. Zbl 0393.03009de Bruijn, N. G. 10 1978 A namefree lambda calculus with facilities for internal definition of expressions and segments. Zbl 0423.68048de Bruijn, N. G. 7 1978 Johannes G. van der Corput (1890-1975). A biographical note. Zbl 0355.01018de Bruijn, N. G. 1 1977 Defining reals without the use of rationals. Zbl 0324.10054de Bruijn, N. G. 4 1976 Acknowledgement of priority to C. Flye Sainte-Marie on the counting of circular arrangements of \(2^n\) zeros and ones that show each \(n\)-letter word exactly once. Zbl 0323.05119de Bruijn, N. G. 14 1975 Exact finite models for minimal propositional calculus over a finite alphabet. Zbl 0317.02023de Bruijn, N. G. 6 1975 Set theory with type restrictions. Zbl 0302.02002de Bruijn, N. G. 2 1975 A finite basis theorem for packing boxes with bricks. Zbl 0322.05028de Bruijn, N. G.; Klarner, D. A. 1 1975 Sorting by means of swappings. Zbl 0288.05010de Bruijn, N. G. 5 1974 An asymptotic problem. Zbl 0341.60018de Bruijn, N. G. 1 1974 A theory of generalized functions, with applications to Wigner distribution and Weyl correspondence. Zbl 0269.46033de Bruijn, N. G. 18 1973 Automath a language for mathematics. Zbl 0346.68011de Bruijn, Nicolaas Govert 4 1973 Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem. Zbl 0253.68007de Bruijn, N. G. 165 1972 The average height of planted plane trees. Zbl 0247.05106de Bruijn, N. G.; Knuth, D. E.; Rice, S. O. 76 1972 Enumeration of mapping patterns. Zbl 0239.05007de Bruijn, N. G. 5 1972 A survey of generalizations of Polya’s enumeration theorem. Zbl 0239.05006de Bruijn, N. G. 8 1971 Programmierung des Pentomino Puzzles. Zbl 0239.05001de Bruijn, N. G. 2 1971 Pólyas theory of enumeration: patterns for graphs and chemical compounds. (Pólya’s Abzähl-Theorie: Muster für Graphen und chemische Verbindungen.) Zbl 0228.05001de Bruijn, N. G. 1 1971 Permutations with given ups and downs. Zbl 0203.30601de Bruijn, N. G. 31 1970 The mathematical language AUTOMATH, its usage, and some of its extensions. Zbl 0208.20101de Bruijn, N. G. 24 1970 Filling boxes with bricks. Zbl 0174.25501de Bruijn, N. G. 15 1969 Enumeration of generalized graphs. Zbl 0167.52301de Bruijn, N. G.; Klarner, D. A. 7 1969 On some formal power series expansions. Zbl 0179.34601Bouwkamp, C. J.; de Bruijn, N. G. 1 1969 A remark on uniformly distributed sequences and Riemann integrability. Zbl 0169.38401Bruijn, N. G.; Post, K. A. 4 1968 Automath, a language for mathematics. Zbl 0174.48401de Bruijn, N. G. 4 1968 A note on plane trees. Zbl 0147.24005de Bruijn, N. G.; Morselt, B. J. M. 18 1967 Color patterns that are invariant under a given permutation of the colors. Zbl 0158.01401de Bruijn, N. G. 14 1967 Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102 6 1967 Notes on Gelfand’s theory. Zbl 0175.13805de Bruijn, N. G.; van der Meiden, W. 3 1967 Asymptotic methods in analysis. 2nd ed. Zbl 0174.08904de Bruijn, N. G. 1 1967 On the number of positive integers \(\leq x\) and free of prime factors \(>y\). II. Zbl 0139.27203de Bruijn, N. G. 48 1966 On almost additive functions. Zbl 0147.12602de Bruijn, N. G. 19 1966 Some extremal problems about differential equations with perturbations. Zbl 0127.32201de Bruijn, N. 2 1965 On partial sums of \(\sum_{d|m} \varphi(d)\). Zbl 0151.03002de Bruijn, N. G.; van Lint, J. H. 1 1965 Polya’s theory of counting. Zbl 0144.00601de Bruijn, N. G. 55 1964 Incomplete sums of multiplicative functions. I, II. Zbl 0131.28703de Bruijn, N. G.; van Lint, J. H. 10 1964 Some direct decompositions of the set of integers. Zbl 0126.27903de Bruijn, N. G. 5 1964 Addendum to ‘Embedding theorems for infinite groups’. Zbl 0122.03001de Bruijn, N. G. 4 1964 Enumerative combinatorial problems concerning structures. Zbl 0122.24803de Bruijn, N. G. 5 1963 On the number of integers \(\ll x\) whose prime factors divide \(n\). Zbl 0201.37601de Bruijn, N. G.; van Lint, J. H. 3 1963 Carleman’s inequality for finite series. Zbl 0115.27702de Bruijn, N. G. 2 1963 On the asymptotic behaviour of some Dirichlet series with a complicated singularity. Zbl 0117.28303de Bruijn, N. G.; van Lint, J. H. 2 1963 On the number of integers \(\leqq x\) whose prime factors divide \(n\). Zbl 0100.03703de Bruijn, N. G. 6 1962 On Hilbert’s inequality in \(n\) dimensions. Zbl 0105.04201de Bruijn, N. G.; Wilf, Herbert S. 6 1962 On unitary equivalence of unitary dilations of contractions in Hilbert space. Zbl 0111.30801de Bruijn, N. G. 1 1962 Asymptotic methods in analysis. 2nd edition. Zbl 0109.03502de Bruijn, N. G. 70 1961 Asymptotic methods in analysis. (Асимптотические методы в анализе. Translated from the English.) Zbl 0098.26404de Bruijn, N. G. 24 1961 On Turán’s first main theorem. Zbl 0097.03901de Bruijn, N. G. 3 1960 Pairs of slowly oscillating functions occurring in asymptotic problems concerning the Laplace transform. Zbl 0086.08801de Bruijn, N. G. 24 1959 Generalization of Polya’s fundamental theorem in enumerative combinatorial analysis. Zbl 0085.00901de Bruijn, N. G. 20 1959 Verallgemeinerte Riemannsche Sphären. Zbl 0090.29601de Bruijn, Nicolaas Govert 2 1959 Asymptotic methods in analysis. Zbl 0082.04202de Bruijn, N. G. 176 1958 Function theory in Banach algebras. Zbl 0082.29502de Bruijn, N. G. 2 1958 Embedding theorems for infinite groups. Zbl 0079.02802de Bruijn, N. G. 11 1957 On number systems. Zbl 0073.02704de Bruijn, N. G. 16 1956 Inequalities concerning minors and eigenvalues. Zbl 0074.25202de Bruijn, N. G. 4 1956 On some multiple integrals involving determinants. Zbl 0068.24904de Bruijn, N. G. 64 1955 On some exponential and polar representations of matrices. Zbl 0064.24702de Bruijn, N. G.; Szekeres, George 6 1955 Some classes of integer-valued functions. Zbl 0067.27301de Bruijn, N. G. 4 1955 Non-\(\sigma\)-finite measures and product measures. Zbl 0056.05403de Bruijn, N. G.; Zaanen, A. C. 1 1954 On the factorization of cyclic groups. Zbl 0051.25803de Bruijn, N. G. 38 1953 The difference-differential equation \(F'(x)=e^{\alpha x + \beta}F(x-1)\). I, II. Zbl 0053.38703de Bruijn, N. G. 27 1953 On the factorization of finite Abelian groups. Zbl 0050.25704de Bruijn, N. G. 16 1953 On a recursion formula and some Tauberian theorems. Zbl 0053.36903de Bruijn, N. G.; Erdős, Pál 13 1953 A difference property for Riemann integrable functions and for some similar classes of functions. Zbl 0047.06202de Bruijn, N. G. 16 1952 Some linear and some quadratic recursion formulas. II. Zbl 0047.06303de Bruijn, N. G.; Erdős, Pál 16 1952 On the number of positive integers \(\leq x\) and free of prime factors \(>y\). Zbl 0042.04204de Bruijn, N. G. 110 1951 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,884 Authors 23 Prodinger, Helmut 17 Erdős, Pál 15 Bel’skiĭ, Denis V. 14 Flajolet, Philippe 14 Mir, Abdullah 14 Pomerance, Carl Bernard 13 Pelyukh, Grygor P. 12 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 11 Bingham, Nicholas Hugh 11 Janssen, Augustus Josephus Elizabeth Maria 11 Tenenbaum, Gérald 11 van Leeuwaarden, Johan S. H. 10 Csordas, George 10 Forrester, Peter J. 9 Odlyzko, Andrew M. 9 Pollack, Paul 9 Rahman, Qazi Ibadur 9 Shallit, Jeffrey O. 8 Coquand, Thierry 8 Ehrenborg, Richard 8 Griggs, Jerrold R. 8 Kamareddine, Fairouz D. 8 Sands, Arthur D. 7 de Bruijn, Nicolaas Govert 7 Fernique, Thomas 7 Ki, Haseo 7 Lagarias, Jeffrey C. 7 Rather, Nisar Ahmad 7 Sawada, Joe 7 Varga, Richard Steven 6 Bodini, Olivier 6 Elliott, David L. 6 Gabbay, Murdoch James 6 Gagie, Travis 6 Hildebrand, Adolf J. 6 Kim, Young-One 6 Li, Shihao 6 Maier, Helmut 6 Nederpelt, Rob 6 Stanley, Richard Peter 6 Williams, Aaron Michael 5 Ayala-Rincón, Mauricio 5 Aziz, Abdul 5 Balasubramanian, Krishnan 5 Bendkowski, Maciej 5 Chang, Zuling 5 Curien, Pierre-Louis 5 Dowek, Gilles 5 Gerhold, Stefan 5 Graham, Ronald Lewis 5 Günzler, Hans 5 Heuberger, Clemens 5 Heydemann, Marie-Claude 5 Kieburg, Mario 5 Lau, Kasing 5 Lescanne, Pierre 5 Luca, Florian 5 Mütze, Torsten 5 Shelah, Saharon 5 Shparlinski, Igor E. 5 Tijdeman, Robert 5 Wu, Yaokun 4 Abramian, Andrei K. 4 Arestov, Vitaliĭ Vladimirovich 4 Błażewicz, Jacek 4 Bollobás, Béla 4 Chao, Chong-Yun 4 Chen, Xiaomin 4 Chu, Wenchang 4 de la Bretèche, Régis 4 Cavalcanti de Moura, Flávio Leonardo 4 Devroye, Luc P. J. A. 4 Eigen, Stanley J. 4 Ezerman, Martianus Frederic 4 Ford, Kevin B. 4 Furedi, Zoltan 4 Gessel, Ira Martin 4 Gittenberger, Bernhard 4 Glazyrina, Polina Yu. 4 Goulden, Ian P. 4 Grabner, Peter J. 4 Hwang, Hsien-Kuei 4 Jackson, David M. 4 Kasprzak, Marta 4 Kirschenhofer, Peter 4 Knuth, Donald Ervin 4 Konyagin, Sergeĭ Vladimirovich 4 Lin, Dongdai 4 Moree, Pieter 4 Nadathur, Gopalan 4 Nicolas, Jean-Louis 4 Pittel, Boris G. 4 Senechal, Marjorie Wikler 4 Sokal, Alan D. 4 Sós, Vera Turán 4 Steinerberger, Stefan 4 Stewart, Cameron L. 4 Tao, Terence 4 Wagner, Stephan G. 4 White, Dennis E. ...and 2,784 more Authors all top 5 Cited in 454 Serials 126 Discrete Mathematics 108 Theoretical Computer Science 76 Journal of Combinatorial Theory. Series A 70 Journal of Mathematical Analysis and Applications 47 Discrete Applied Mathematics 44 Journal of Number Theory 35 Proceedings of the American Mathematical Society 35 Transactions of the American Mathematical Society 34 Indagationes Mathematicae. New Series 29 Journal of Statistical Physics 29 Journal of Combinatorial Theory. Series B 28 European Journal of Combinatorics 27 Mathematics of Computation 24 Advances in Mathematics 24 Linear Algebra and its Applications 23 Information and Computation 23 Aequationes Mathematicae 22 Journal of Mathematical Sciences (New York) 21 The Electronic Journal of Combinatorics 20 Mathematical Notes 20 Journal of Automated Reasoning 19 Journal of Algebra 18 Communications in Mathematical Physics 17 Information Processing Letters 17 Journal of Approximation Theory 17 Discrete & Computational Geometry 15 Journal of Computational and Applied Mathematics 15 Annals of Pure and Applied Logic 15 Graphs and Combinatorics 13 Statistics & Probability Letters 12 Monatshefte für Mathematik 12 Combinatorica 11 Advances in Applied Mathematics 11 Acta Mathematica Hungarica 11 Constructive Approximation 11 Designs, Codes and Cryptography 10 Israel Journal of Mathematics 10 Journal of Mathematical Physics 10 Archiv der Mathematik 10 Stochastic Processes and their Applications 10 Journal of Mathematical Chemistry 9 Acta Mathematica Academiae Scientiarum Hungaricae 9 Journal d’Analyse Mathématique 9 Journal of Statistical Planning and Inference 9 Mathematische Annalen 8 Nuclear Physics. B 8 Acta Arithmetica 8 The Annals of Probability 8 Journal of Functional Analysis 8 Manuscripta Mathematica 8 Mathematische Zeitschrift 8 Numerische Mathematik 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 8 Probability Theory and Related Fields 8 Journal de Théorie des Nombres de Bordeaux 8 Journal of Functional Programming 8 Proceedings of the Steklov Institute of Mathematics 7 Applied Mathematics and Computation 7 Journal of Computer and System Sciences 7 Studies in Applied Mathematics 7 Physica D 7 Queueing Systems 7 The Ramanujan Journal 6 Periodica Mathematica Hungarica 6 The Mathematical Intelligencer 6 Annales de l’Institut Fourier 6 BIT 6 Compositio Mathematica 6 Journal of Multivariate Analysis 6 Journal of Soviet Mathematics 6 SIAM Journal on Algebraic and Discrete Methods 6 Journal of Symbolic Computation 6 MSCS. Mathematical Structures in Computer Science 6 Journal of Algebraic Combinatorics 6 Combinatorics, Probability and Computing 6 Theory of Computing Systems 6 Annals of Combinatorics 6 Integers 6 Journal of Discrete Algorithms 6 Logical Methods in Computer Science 5 Bulletin of Mathematical Biology 5 Functiones et Approximatio. Commentarii Mathematici 5 Geometriae Dedicata 5 Journal of Applied Probability 5 Journal of Geometry 5 Results in Mathematics 5 Siberian Mathematical Journal 5 Order 5 Algorithmica 5 Revista Matemática Iberoamericana 5 Journal of Theoretical Probability 5 Journal of the American Mathematical Society 5 SIAM Journal on Discrete Mathematics 5 Communications in Statistics. Theory and Methods 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Electronic Journal of Probability 5 Higher-Order and Symbolic Computation 5 Computational Methods and Function Theory 5 International Journal of Number Theory 4 Ukrainian Mathematical Journal ...and 354 more Serials all top 5 Cited in 61 Fields 639 Combinatorics (05-XX) 417 Computer science (68-XX) 397 Number theory (11-XX) 227 Probability theory and stochastic processes (60-XX) 181 Mathematical logic and foundations (03-XX) 133 Functions of a complex variable (30-XX) 117 Convex and discrete geometry (52-XX) 106 Statistical mechanics, structure of matter (82-XX) 97 Group theory and generalizations (20-XX) 85 Statistics (62-XX) 85 Information and communication theory, circuits (94-XX) 81 Numerical analysis (65-XX) 75 Linear and multilinear algebra; matrix theory (15-XX) 72 Approximations and expansions (41-XX) 70 Ordinary differential equations (34-XX) 66 Real functions (26-XX) 61 Order, lattices, ordered algebraic structures (06-XX) 61 Special functions (33-XX) 57 Dynamical systems and ergodic theory (37-XX) 50 Biology and other natural sciences (92-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 48 Partial differential equations (35-XX) 46 Difference and functional equations (39-XX) 41 Operator theory (47-XX) 38 Geometry (51-XX) 35 Operations research, mathematical programming (90-XX) 30 Quantum theory (81-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Functional analysis (46-XX) 25 History and biography (01-XX) 21 Measure and integration (28-XX) 19 General and overarching topics; collections (00-XX) 18 Algebraic geometry (14-XX) 15 Commutative algebra (13-XX) 14 Potential theory (31-XX) 13 General topology (54-XX) 12 General algebraic systems (08-XX) 12 Sequences, series, summability (40-XX) 12 Integral transforms, operational calculus (44-XX) 12 Integral equations (45-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Abstract harmonic analysis (43-XX) 9 Manifolds and cell complexes (57-XX) 9 Systems theory; control (93-XX) 8 Mechanics of deformable solids (74-XX) 7 Field theory and polynomials (12-XX) 7 Associative rings and algebras (16-XX) 7 Category theory; homological algebra (18-XX) 7 Fluid mechanics (76-XX) 7 Optics, electromagnetic theory (78-XX) 6 Topological groups, Lie groups (22-XX) 5 Nonassociative rings and algebras (17-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Relativity and gravitational theory (83-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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