Edit Profile (opens in new tab) Carlitz, Leonard Compute Distance To: Compute Author ID: carlitz.leonard Published as: Carlitz, Leonard; Carlitz, L. External Links: MacTutor · MGP · Wikidata · GND Documents Indexed: 830 Publications since 1930, including 1 Book Biographic References: 7 Publications Co-Authors: 36 Co-Authors with 104 Joint Publications 1,231 Co-Co-Authors all top 5 Co-Authors 724 single-authored 31 Scoville, Richard A. 17 Al-Salam, Waleed A. 9 Hoggatt, Verner E. jun. 8 Brawley, Joel Vincent jun. 7 Vaughan, Theresa P. 6 Riordan, John F. 4 Hodges, John H. 4 Roselle, David P. 4 Srivastava, Hari Mohan 3 Cohen, Eckford 3 Levine, Jack 3 Subbarao, Matukumalli Venkata 2 Brenner, Joël Lee 2 Corson, Harry H. 2 Gould, Henry Wadsworth 2 Olson, Frank R. 1 Brillhart, John 1 Ferns, Herman Harvey 1 Hayes, David Ryan 1 Hodel, Margaret J. 1 Hunter, J. A. H. 1 Kaucký, Josef 1 Klamkin, Murray Seymour 1 Kurtz, David C. 1 Lewis, Donald-J. 1 Long, Andrew F. jun. 1 Lutz, Jo Ann 1 Mills, William Harold 1 Moser, Leo 1 Olson, R. F. 1 Stackelberg, Olaf Patrick 1 Stanley, Richard Peter 1 Stevens, Harlan R. 1 Straus, Ernst G. 1 Vosmansky, Jaromir 1 Whiteman, Albert Leon all top 5 Serials 127 Duke Mathematical Journal 61 The Fibonacci Quarterly 61 Bulletin of the American Mathematical Society 50 Proceedings of the American Mathematical Society 46 American Mathematical Monthly 28 Acta Arithmetica 25 Bollettino della Unione Matematica Italiana. Series III 24 Pacific Journal of Mathematics 20 Portugaliae Mathematica 18 Mathematische Nachrichten 15 Mathematics Magazine 15 Monatshefte für Mathematik 13 Archiv der Mathematik 13 Transactions of the American Mathematical Society 12 Collectanea Mathematica 12 Rendiconti del Seminario Matematico della Università di Padova 10 American Journal of Mathematics 10 Journal für die Reine und Angewandte Mathematik 10 SIAM Journal on Mathematical Analysis 10 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 9 Discrete Mathematics 9 Journal of Combinatorial Theory. Series A 9 Mathematica Scandinavica 9 The Quarterly Journal of Mathematics. Oxford Second Series 8 Canadian Journal of Mathematics 7 Mathematische Zeitschrift 6 Acta Mathematica Academiae Scientiarum Hungaricae 6 Revista Matematica Hispano-Americana. 4a Serie. Publicada por Real Sociedad Matematica Espanola 6 Glasnik Matematički. Serija III 6 Scripta Mathematica 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Bulletin of the Calcutta Mathematical Society 5 Proceedings of the National Academy of Sciences of the United States of America 5 Journal of the London Mathematical Society 5 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 4 Houston Journal of Mathematics 4 Journal of Mathematical Analysis and Applications 4 Elemente der Mathematik 4 Bollettino della Unione Matematica Italiana. Series IV 4 Journal of Combinatorial Theory 4 Proceedings of the Glasgow Mathematical Association 4 The Quarterly Journal of Mathematics. Oxford Series 3 Mathematics of Computation 3 Canadian Mathematical Bulletin 3 Le Matematiche 3 Mathematische Annalen 3 Publicationes Mathematicae Debrecen 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Utilitas Mathematica 3 Linear Algebra and its Applications 3 Nieuw Archief voor Wiskunde. Derde Serie 3 SIAM Review 3 Matematichki Vesnik. New Series 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Scientiarum Mathematicarum 2 Illinois Journal of Mathematics 2 Indian Journal of Mathematics 2 The Journal of the Indian Mathematical Society. New Series 2 The Mathematics Student 2 Nagoya Mathematical Journal 2 Publikacije Elektrotehnickog Fakulteta. Univerzitat u Beogradu. Serija Matematika i Fizika 2 Tôhoku Mathematical Journal. Second Series 2 SIAM Journal on Applied Mathematics 2 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 2 Proceedings of the London Mathematical Society. Second Series 2 Rivista di Matematica della Università di Parma 2 Rivista di Matematica della Universitá di Parma, II. Serie 1 Journal d’Analyse Mathématique 1 Mathematica Balkanica 1 The Mathematical Gazette 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Advances in Mathematics 1 Ars Combinatoria 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Elisha Mitchell Scientific Society 1 Journal of the Mathematical Society of Japan 1 Journal of Natural Sciences and Mathematics 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Mathematika 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rivista di Matematica della Università di Parma. Serie IV 1 Simon Stevin 1 Revista. Serie A. Matematica y Fisica Teorica 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Buletinul Institutului Politehnic din Iași. Secția I 1 L’Enseignement Mathématique. 2e Série 1 Finite Fields and their Applications 1 Proceedings of the Cambridge Philosophical Society 1 Journal of Mathematics and Mechanics 1 Journal of the Society for Industrial & Applied Mathematics 1 Proceedings of the Japan Academy ...and 5 more Serials all top 5 Fields 283 Number theory (11-XX) 157 Combinatorics (05-XX) 36 Special functions (33-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 9 Sequences, series, summability (40-XX) 6 Field theory and polynomials (12-XX) 5 Geometry (51-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 538 Publications have been cited 4,340 times in 3,026 Documents Cited by ▼ Year ▼ Degenerate Stirling, Bernoulli and Eulerian numbers. Zbl 0404.05004Carlitz, Leonard 163 1979 \(q\)-Bernoulli numbers and polynomials. Zbl 0032.00304Carlitz, Leonard 151 1948 Some orthogonal q-polynomials. Zbl 0135.27802Al-Salam, W. A.; Carlitz, Leonard 87 1965 Eulerian numbers and polynomials. Zbl 0092.06601Carlitz, Leonard 86 1959 On certain functions connected with polynomials in a Galois field. JFM 61.0127.01Carlitz, Leonard 84 1935 \(q\)-Bernoulli and Eulerian numbers. Zbl 0058.01204Carlitz, Leonard 79 1954 A degenerate Staudt-Clausen theorem. Zbl 0070.04003Carlitz, Leonard 72 1956 On certain functions connected with polynomials in a Galois field. Zbl 0012.04904Carlitz, Leonard 70 1935 A characterization of algebraic number fields with class number two. Zbl 0202.33101Carlitz, Leonard 69 1960 Weighted Stirling numbers of the first and second kind. I. Zbl 0428.05003Carlitz, Leonard 68 1980 A combinatorial property of q-Eulerian numbers. Zbl 0296.05007Carlitz, Leonard 67 1975 Some theorems on generalized Dedekind sums. Zbl 0057.03701Carlitz, Leonard 53 1953 Note on the integral of the product of several Bernoulli polynomials. Zbl 0086.05801Carlitz, Leonard 43 1959 Two element lattice permutation numbers and their \(q\)-generalization. Zbl 0126.26301Carlitz, Leonard; Riordan, John 40 1964 Arithmetic properties of generalized Bernoulli numbers. Zbl 0125.02202Carlitz, Leonard 39 1959 Bounds for exponential sums. Zbl 0088.03901Carlitz, Leonard; Uchiyama, S. 38 1957 Generating functions for certain q-orthogonal polynomials. Zbl 0273.33012Carlitz, Leonard 35 1972 Some inverse relations. Zbl 0276.05012Carlitz, Leonard 35 1973 A note on Bernoulli and Euler polynomials of the second kind. Zbl 0118.06501Carlitz, Leonard 34 1961 Explicit evaluation of certain exponential sums. Zbl 0396.12017Carlitz, Leonard 33 1979 A class of polynomials. JFM 64.0093.01Carlitz, L. 32 1938 On Abelian fields. JFM 59.0188.02Carlitz, L. 31 1933 Permutations and sequences with repetitions by number of increases. Zbl 0304.05002Carlitz, Leonard; Roselle, D. P.; Scoville, R. A. 31 1966 Generalized Eulerian numbers: combinatorial applications. Zbl 0276.05006Carlitz, Leonard; Scoville, Richard 30 1974 Some polynomials related to theta functions. Zbl 0071.06202Carlitz, Leonard 30 1956 Maillet’s determinant. Zbl 0065.02703Carlitz, Leonard; Olson, F. R. 29 1955 Permutations with prescribed pattern. Zbl 0229.05015Carlitz, Leonard 29 1973 Some generating functions for Laguerre polynomials. Zbl 0167.35202Carlitz, Leonard 29 1968 Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003Carlitz, Leonard 28 1980 A theorem of Dickson on irreducible polynomials. Zbl 0048.02701Carlitz, Leonard 28 1952 A theorem on permutations in a finite field. Zbl 0095.03003Carlitz, Leonard 27 1960 The product of two Eulerian polynomials. Zbl 0114.03406Carlitz, Leonard 27 1963 A set of polynomials. JFM 66.0055.01Carlitz, L. 26 1940 Asymptotic properties of Eulerian numbers. Zbl 0226.60049Carlitz, Leonard; Kurtz, D. C.; Scoville, R.; Stackelberg, O. P. 26 1972 Representation by quadratic forms in a finite field. Zbl 0055.01301Carlitz, Leonard 26 1954 A simple proof of the quintuple product identity. Zbl 0234.05005Carlitz, Leonard; Subbarao, M. V. 25 1972 Kloosterman sums and finite field extensions. Zbl 0194.07902Carlitz, Leonard 24 1969 Primitive roots in a finite field. Zbl 0048.27302Carlitz, Leonard 23 1952 Permutations in a finite field. Zbl 0052.03704Carlitz, Leonard 23 1953 Representations by skew forms in a finite field. Zbl 0056.01702Carlitz, Leonard 23 1954 Expansions of \(q\)-Bernoulli numbers. Zbl 0102.03201Carlitz, Leonard 22 1958 Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010Carlitz, Leonard 22 1975 Enumeration of pairs of sequences by rises, falls and levels. Zbl 0348.05006Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa 22 1976 Bernoulli and Euler numbers and orthogonal polynomials. Zbl 0085.28702Carlitz, Leonard 22 1959 A note on the Laguerre polynomials. Zbl 0097.05602Carlitz, Leonard 21 1960 A note on the Bessel polynomials. Zbl 0084.06603Carlitz, Leonard 21 1957 The singular series for sums of squares of polynomials. Zbl 0032.00204Carlitz, Leonard 20 1947 Enumeration of sequences by rises and falls: a refinement of the Simon Newcomb problem. Zbl 0243.05008Carlitz, Leonard 20 1972 The divided central differences of zero. Zbl 0108.25106Carlitz, Leonard; Riordan, John 20 1963 The Staudt-Clausen theorem. Zbl 0122.04702Carlitz, Leonard 20 1961 An analogue of the von Staudt-Clausen theorem. JFM 63.0879.03Carlitz, L. 19 1937 Eulerian numbers and polynomials of higher order. Zbl 0104.29003Carlitz, Leonard 19 1960 Sequences, paths, ballot numbers. Zbl 0257.05001Carlitz, Leonard 19 1972 Enumeration of up-down sequences. Zbl 0255.05003Carlitz, Leonard 19 1973 Scalar polynomial functions on the \(n\times n\) matrices over a finite field. Zbl 0307.15004Brawley, J. V.; Carlitz, Leonard; Levine, Jack 19 1975 Single variable Bell polynomials. Zbl 0109.02906Carlitz, Leonard 19 1962 Some theorems on irreducible reciprocal polynomials over a finite field. Zbl 0155.09801Carlitz, Leonard 19 1967 Some theorems on permutation polynomials. Zbl 0217.33003Carlitz, Leonard 19 1962 The arithmetic of polynomials in a Galois field. JFM 58.0150.01Carlitz, L. 18 1932 Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010Carlitz, Leonard 18 1974 The number of solutions of a special system of equations in a finite field. Zbl 0147.04003Carlitz, Leonard; Wells, Charles 18 1966 Rectangular arrays and plane partitions. Zbl 0168.01502Carlitz, Leonard 18 1967 Sequences and inversions. Zbl 0206.02302Carlitz, Leonard 18 1970 Tangent numbers and operators. Zbl 0243.05009Carlitz, Leonard; Scoville, Richard 17 1972 Multiplication formulas for products of Bernoulli and Euler polynomials. Zbl 0089.28002Carlitz, Leonard 17 1961 Extended Bernoulli and Eulerian numbers. Zbl 0127.29501Carlitz, Leonard 17 1964 The number of terms in the cyclotomic polynomial \(F_{pq}(x)\). Zbl 0146.26704Carlitz, Leonard 17 1966 Representations by hermitian forms in a finite field. Zbl 0065.24805Carlitz, Leonard; Hodges, John H. 16 1955 Polynomials over finite fields with minimal value sets. Zbl 0106.01105Carlitz, Leonard; Lewis, D. J.; Mills, W. H.; Straus, E. G. 16 1961 Permutations in finite fields. Zbl 0146.06702Carlitz, Leonard 16 1963 The reciprocity theorem for Dedekind sums. Zbl 0057.03703Carlitz, Leonard 16 1953 Some theorems on Bernoulli numbers of higher order. Zbl 0046.04005Carlitz, Leonard 15 1952 Some congruences for the Bernoulli numbers. Zbl 0050.03902Carlitz, Leonard 15 1953 Weighted quadratic partitions over a finite field. Zbl 0052.03805Carlitz, Leonard 15 1953 A class of generating functions. Zbl 0357.33004Carlitz, Leonard 15 1977 On some polynomials of Tricomi. Zbl 0081.06601Carlitz, Leonard 15 1958 A note on certain biorthogonal polynomials. Zbl 0157.11902Carlitz, Leonard 15 1968 The arithmetic of polynomials in a Galois field. Zbl 0003.19502Carlitz, Leonard 14 1932 A class of polynomials. Zbl 0018.19806Carlitz, Leonard 14 1938 Some polynomials related to theta functions. Zbl 0079.09503Carlitz, Leonard 14 1957 Generalized Dedekind sums. Zbl 0122.05104Carlitz, Leonard 14 1964 Note on the Shapiro polynomials. Zbl 0191.35101Brillhart, J.; Carlitz, Leonard 14 1970 Permutations, sequences and special functions. Zbl 0301.05001Carlitz, Leonard 13 1975 Functions and polynomials \(\pmod{p^ n}\). Zbl 0134.25406Carlitz, Leonard 13 1964 Note on the numbers of Jordan and Ward. Zbl 0228.05005Carlitz, Leonard 13 1971 Irreducibles and the composed product for polynomials over a finite field. Zbl 0615.05007Brawley, J. V.; Carlitz, Leonard 13 1987 Some remarks on the Bell numbers. Zbl 0426.10013Carlitz, Leonard 13 1980 Congruence properties of the polynomials of Hermite, Laguerre and Legendre. Zbl 0055.06401Carlitz, Leonard 13 1954 Certain special equations in a finite field. Zbl 0055.26803Carlitz, Leonard 13 1954 Some orthogonal polynomials related to elliptic functions. Zbl 0096.26903Carlitz, Leonard 12 1960 Enumeration of pairs of permutations. Zbl 0322.05008Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa 12 1976 Some cyclotomic matrices. Zbl 0112.27102Carlitz, Leonard 12 1959 The distribution of irreducible polynomials in several indeterminates. II. Zbl 0135.01704Carlitz, Leonard 12 1965 A note on generalized Dedekind sums. Zbl 0057.03802Carlitz, Leonard 12 1954 Note on irregular primes. Zbl 0058.03702Carlitz, Leonard 12 1954 On a problem in additive arithmetic. II. JFM 58.0185.01Carlitz, L. 11 1932 An analogue of the Staudt-Clausen theorem. JFM 66.0056.01Carlitz, L. 11 1940 An analogue of the von Staudt-Clausen theorem. Zbl 0017.19501Carlitz, Leonard 11 1937 Some determinants of Bernoulli, Euler and related numbers. Zbl 0093.01504Al-Salam, W. A.; Carlitz, Leonard 11 1959 A note on integral-valued polynomials. Zbl 0100.27102Carlitz, Leonard 11 1959 Chapter 19 of “The arithmetic of polynomials”. Zbl 0824.11039Carlitz, Leonard 2 1995 Some new generating functions for the Hermite polynomials. Zbl 0687.33009Carlitz, Leonard; Srivastava, H. M. 2 1990 A test for additive decomposability of irreducibles over a finite field. Zbl 0688.12005Brawley, J. V.; Carlitz, Leonard 3 1989 Irreducibles and the composed product for polynomials over a finite field. Zbl 0615.05007Brawley, J. V.; Carlitz, Leonard 13 1987 An application of the reciprocity theorem for Dedekind sums. Zbl 0546.10010Carlitz, Leonard 3 1984 Some polynomials related to the Bernoulli and Euler polynomials. Zbl 0474.10012Carlitz, Leonard 5 1981 Enumeration of permutations by sequences. II. Zbl 0499.05007Carlitz, Leonard 5 1981 Some remarks on the multiplication theorems for the Bernoulli and Euler polynomials. Zbl 0474.10013Carlitz, Leonard 2 1981 Weighted Stirling numbers of the first and second kind. I. Zbl 0428.05003Carlitz, Leonard 68 1980 Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003Carlitz, Leonard 28 1980 Some remarks on the Bell numbers. Zbl 0426.10013Carlitz, Leonard 13 1980 Evaluation of some exponential sums over a finite field. Zbl 0456.12011Carlitz, Leonard 9 1980 Explicit formulas for the Dumont-Foata polynomial. Zbl 0445.05009Carlitz, Leonard 6 1980 The number of permutations with a given number of sequences. Zbl 0451.05005Carlitz, Leonard 5 1980 Multiple binomial and power sums. Zbl 0457.05006Carlitz, Leonard 4 1980 A reciprocity theorem and a three-term relation for generalized Dedekind- Rademacher sums. Zbl 0369.10007Carlitz, Leonard 2 1980 A characterization of the Bernoulli and Euler polynomials. Zbl 0443.33020Carlitz, Leonard 1 1980 Degenerate Stirling, Bernoulli and Eulerian numbers. Zbl 0404.05004Carlitz, Leonard 163 1979 Explicit evaluation of certain exponential sums. Zbl 0396.12017Carlitz, Leonard 33 1979 A combinatorial identity and some generalizations. Zbl 0427.05012Carlitz, Leonard 1 1979 A note on q-Eulerian numbers. Zbl 0386.05003Carlitz, Leonard 6 1978 Generalized Stirling and related numbers. Zbl 0402.10011Carlitz, Leonard 6 1978 The number of derangements of a sequence with given specification. Zbl 0403.05008Carlitz, Leonard 6 1978 Enumeration of permutations by sequences. Zbl 0412.05005Carlitz, Leonard 6 1978 Many-term relations for multiple Dedekind sums. Zbl 0418.10013Carlitz, Leonard 6 1978 A note on exponential sums. Zbl 0388.12007Carlitz, Leonard 5 1978 A set of polynomials in three variables. Zbl 0381.33010Carlitz, Leonard 5 1978 Generalized Eulerian numbers and polynomials. Zbl 0379.10008Carlitz, Leonard; Hoggatt, V. E. jun. 4 1978 Permutations with prescribed pattern. II: Applications. Zbl 0312.05012Carlitz, Leonard 4 1978 A characterization of permutation polynomials over a finite field. Zbl 0406.12011Carlitz, Leonard; Lutz, Jo Ann 4 1978 Some combinatorial identities of Bernstein. Zbl 0374.05005Carlitz, Leonard 3 1978 Recurrences of the third order and related combinatorial identities. Zbl 0374.05006Carlitz, Leonard 3 1978 Some classes of Fibonacci sums. Zbl 0401.10013Carlitz, Leonard 2 1978 Up-down and down-up partitions. Zbl 0434.05008Carlitz, Leonard 2 1978 Some remarks on the Eulerian function. Zbl 0439.10005Carlitz, Leonard 2 1978 Specialized Möbius inversion. Zbl 0386.05002Carlitz, Leonard 1 1978 Some polynomials related to Fibonacci and Eulerian numbers. Zbl 0402.10012Carlitz, Leonard 1 1978 Stirling pairs. Zbl 0427.05002Carlitz, Leonard 1 1978 A class of generating functions. Zbl 0357.33004Carlitz, Leonard 15 1977 Some numbers related to the Stirling numbers of the first and second kind. Zbl 0362.05010Carlitz, Leonard 11 1977 Some expansions and convolution formulas related to MacMahon’s master theorem. Zbl 0359.05003Carlitz, Leonard 10 1977 Some theorems on generalized Dedekind-Rademacher sums. Zbl 0341.10011Carlitz, Leonard 5 1977 Some permutation problems. Zbl 0351.05003Carlitz, Leonard; Scoville, Richard 4 1977 Covering theorems for finite nonabelian finite simple groups. III. Solutions of the equation \(\alpha x^ 2 + \beta t^ 2 + y t^{-2} =\) a in a finite field. Zbl 0352.20003Brenner, J. L.; Carlitz, Leonard 3 1977 Alternating sequences. Zbl 0361.05003Carlitz, Leonard 3 1977 Enumeration of compositions by rises, falls and levels. Zbl 0361.05004Carlitz, Leonard 3 1977 Some combinatorial identities of Sarmanov, Sevast’yanov, and Tarakanov. Zbl 0351.05005Carlitz, Leonard 1 1977 Functions and correspondences in a finite field. Zbl 0353.12007Carlitz, Leonard 1 1977 Some sums containing the greatest integer function. Zbl 0362.10004Carlitz, Leonard 1 1977 Note on some convolved power sums. Zbl 0363.10008Carlitz, Leonard 1 1977 The factorization of \(Q(L(x_1),\dots,L(x_k))\) over a finite field where \(Q(x_1,\dots,x_k)\) is of first degree and \(L(x)\) is linear. Zbl 0401.12018Carlitz, Leonard; Long, A. F. jun. 1 1977 Enumeration of pairs of sequences by rises, falls and levels. Zbl 0348.05006Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa 22 1976 Enumeration of pairs of permutations. Zbl 0322.05008Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa 12 1976 Restricted compositions. Zbl 0338.05005Carlitz, Leonard 7 1976 Set partitions. Zbl 0362.05024Carlitz, Leonard 4 1976 Some hypergeometric polynomials associated with the Lauricella function \(F_D\) of several variables. I. Zbl 0313.33008Carlitz, Leonard; Srivastava, H. M. 2 1976 Polynomial representations and compositions. I. Zbl 0328.05005Carlitz, Leonard 2 1976 A theorem on differential operators. Zbl 0331.44007Carlitz, Leonard 2 1976 Corrigendum to: Generalized Eulerian numbers: combinatorial applications. Zbl 0341.05006Carlitz, Leonard; Scoville, Richard 2 1976 The reciprocity theorem for Dedekind-Rademacher sums. Zbl 0282.10016Carlitz, Leonard 1 1976 Some hypergeometric polynomials associated with the Lauricella function \(F_D\) of several variables. II. Zbl 0325.33003Carlitz, Leonard; Srivastava, H. M. 1 1976 Some binomial sums. Zbl 0339.05006Carlitz, Leonard 1 1976 A special class of triangular arrays. Zbl 0339.05011Carlitz, Leonard 1 1976 Some sums of multinomial coefficients. Zbl 0361.05002Carlitz, Leonard 1 1976 A combinatorial property of q-Eulerian numbers. Zbl 0296.05007Carlitz, Leonard 67 1975 Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010Carlitz, Leonard 22 1975 Scalar polynomial functions on the \(n\times n\) matrices over a finite field. Zbl 0307.15004Brawley, J. V.; Carlitz, Leonard; Levine, Jack 19 1975 Permutations, sequences and special functions. Zbl 0301.05001Carlitz, Leonard 13 1975 Generating functions for certain types of permutations. Zbl 0303.05007Carlitz, Leonard; Scoville, Richard 7 1975 Enumeration of up-down permutations by upper records. Zbl 0315.05004Carlitz, Leonard; Scoville, Richard 6 1975 Generating functions for a special class of permutations. Zbl 0297.05011Carlitz, Leonard 5 1975 Some polynomials associated with Dedekind sums. Zbl 0317.10017Carlitz, Leonard 5 1975 A note on the left factorial function. Zbl 0389.05004Carlitz, Leonard 4 1975 Branchings and partitions. Zbl 0279.05012Carlitz, Leonard; Stanley, Richard P. 4 1975 Eulerian numbers and operators. Zbl 0302.05006Carlitz, Leonard; Scoville, Richard 2 1975 Some sums containing the greatest integer function. Zbl 0307.10003Carlitz, Leonard 2 1975 Note on a binomial identity. Zbl 0311.05005Carlitz, Leonard 2 1975 A note on weighted sequences. Zbl 0319.05003Carlitz, Leonard; Scoville, Richard 2 1975 Correspondence in a finite field. I. Zbl 0254.12009Carlitz, Leonard 1 1975 Correspondences in a finite field. II. Zbl 0281.12017Carlitz, Leonard 1 1975 Some sums involving fractional parts. Zbl 0302.10007Carlitz, Leonard 1 1975 Some identities of Bruckman. Zbl 0303.05012Carlitz, Leonard 1 1975 A three-term relation for some sums related to Dedekind sums. Zbl 0311.10006Carlitz, Leonard 1 1975 A note on sums of three squares in \(GF[q,x]\). Zbl 0313.10046Carlitz, Leonard 1 1975 Generalized Eulerian numbers: combinatorial applications. Zbl 0276.05006Carlitz, Leonard; Scoville, Richard 30 1974 Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010Carlitz, Leonard 18 1974 Permutations and sequences. Zbl 0285.05011Carlitz, Leonard 9 1974 Enumeration of pairs of permutations and sequences. Zbl 0291.05007Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa 9 1974 An application of MacMahon’s Master theorem. Zbl 0282.05008Carlitz, Leonard 8 1974 Stirling operators. Zbl 0292.05002Carlitz, Leonard; Klamkin, M. S. 7 1974 A note on Bernoulli numbers and polynomials. Zbl 0283.10003Carlitz, Leonard 4 1974 A q-identity. Zbl 0296.33001Carlitz, Leonard 4 1974 Enumeration of permutations by rises, falls, rising maxima and falling maxima. Zbl 0298.05007Carlitz, Leonard; Scoville, R. 4 1974 Power sums of matrices over a finite field. Zbl 0282.15009Brawley, J. V.; Carlitz, Leonard; Levine, J. 3 1974 A reciprocity and four-term relation for generalized Dedekind sums. Zbl 0291.10005Carlitz, Leonard 3 1974 Inversions and generalized Dedekind sums. Zbl 0292.10007Carlitz, Leonard 3 1974 Enumeration of sequences of given specification according. Zbl 0278.05008Carlitz, Leonard; Vaughan, Theresa 2 1974 Enumeration of rectangular arrays by length and coincidences. Zbl 0279.05010Carlitz, Leonard 1 1974 Remark on a combinatorial identity. Zbl 0287.05015Carlitz, Leonard 1 1974 Some inverse relations. Zbl 0276.05012Carlitz, Leonard 35 1973 ...and 438 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,615 Authors 184 Kim, Taekyun 137 Kim, Dae San 98 Carlitz, Leonard 51 Srivastava, Hari Mohan 33 Rim, Seog-Hoon 32 Chu, Wenchang 27 Simsek, Yilmaz 25 Cao, Jian 23 Mansour, Toufik 21 Kwon, JongKyum 20 Ismail, Mourad El-Houssieny 20 Ryoo, Cheon Seoung 19 Lee, Hyunseok 18 Cohen, Stephen D. 18 Kim, Hanyoung 18 Komatsu, Takao 17 Araci, Serkan 17 Kim, Minsoo 17 Zeng, Jiang 17 Zhang, Wenpeng 16 Khan, Waseem Ahmad 15 Brawley, Joel Vincent jun. 15 Gessel, Ira Martin 15 Thakur, Dinesh S. 14 Acikgoz, Mehmet 14 Dilcher, Karl 14 Hodges, John H. 13 Foata, Dominique C. 13 Kim, Hyekyung 13 Kwon, Hyuck In 13 Young, Paul Thomas 12 Dolgiĭ, Dmitriĭ Viktorovich 12 Helleseth, Tor 12 Lee, Sang Hun 12 Mullen, Gary L. 11 Bayad, Abdelmejid 11 Charalambides, Charalambos A. 11 Khan, Subuhi 11 Rawlings, Don 10 Baoulina, Ioulia N. 10 Can, Mumun 10 Chapman, Scott Thomas 10 Howard, Fredric T. 10 Jang, Gwan-Woo 10 Jang, Lee-Chae 10 Jeong, Sangtae 10 Kim, Young Hee Yun 10 Merca, Mircea 10 Remmel, Jeffrey Brian 10 Stanley, Richard Peter 10 Topuzoǧlu, Alev 10 Wang, Qiang (Steven) 9 Andrews, George Eyre 9 Berndt, Bruce Carl 9 Cenkci, Mehmet 9 Jackson, David M. 9 Kilic, Emrah 9 Kurt, Veli 9 Ma, Shi-Mei 9 Moree, Pieter 9 Porter, A. Duane 9 Ramírez, José Luis 9 Sagan, Bruce Eli 9 Schmid, Wolfgang Alexander 9 Scoville, Richard A. 9 Stanton, Dennis W. 8 Cao, Xiwang 8 Chatterjea, Santi Kumar 8 Dağli, Muhammet Cihat 8 Goss, David Mark 8 He, Yuan 8 Kim, Daeyeoul 8 Milne, Stephen C. 8 Xu, Aimin 8 Zeng, Xiangyong 8 Zinov’ev, Viktor Aleksandrovich 7 Belbachir, Hacene 7 Chang, Chieh-Yu 7 Chen, William Yong-Chuan 7 Chihara, Theodore Seio 7 Corcino, Roberto Bagsarsa 7 Denis, Laurent 7 Geroldinger, Alfred 7 Gotti, Felix 7 Han, Guo-Niu 7 Hou, Xiang-Dong 7 Hsu, Leetsch Charles 7 Hu, Su 7 Kapetanakis, Giorgos 7 Kim, Byungmoon 7 Kim, Wonjoo 7 Lin, Zhicong 7 Luo, Qiuming 7 Panario, Daniel 7 Papanikolas, Matthew A. 7 Pellarin, Federico 7 Pyo, Sung-Soo 7 Shattuck, Mark A. 7 Shiue, Peter Jau-Shyong 7 Zhang, Ruiming ...and 2,515 more Authors all top 5 Cited in 388 Serials 215 Journal of Number Theory 151 Discrete Mathematics 125 Finite Fields and their Applications 105 Journal of Combinatorial Theory. Series A 89 Advances in Difference Equations 88 Journal of Mathematical Analysis and Applications 76 Proceedings of the American Mathematical Society 68 Advances in Applied Mathematics 59 The Ramanujan Journal 48 European Journal of Combinatorics 47 Journal of Inequalities and Applications 45 Linear Algebra and its Applications 43 International Journal of Number Theory 41 Transactions of the American Mathematical Society 40 Journal of Computational and Applied Mathematics 40 Monatshefte für Mathematik 39 Applied Mathematics and Computation 35 Advances in Mathematics 31 Journal of Algebra 30 Mathematics of Computation 30 Archiv der Mathematik 29 The Electronic Journal of Combinatorics 27 Journal of Approximation Theory 26 Rocky Mountain Journal of Mathematics 26 Designs, Codes and Cryptography 25 Mathematische Zeitschrift 25 Abstract and Applied Analysis 24 Journal of Pure and Applied Algebra 23 Discrete Applied Mathematics 23 Rendiconti del Seminario Matematico della Università di Padova 23 Russian Journal of Mathematical Physics 22 Journal de Théorie des Nombres de Bordeaux 20 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 19 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Journal of Statistical Planning and Inference 16 Journal of Applied Mathematics & Informatics 15 Bulletin of the Australian Mathematical Society 15 Inventiones Mathematicae 15 Mathematische Annalen 15 Integers 15 Cryptography and Communications 14 American Mathematical Monthly 14 Journal of Mathematical Physics 14 Czechoslovak Mathematical Journal 14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 13 Linear and Multilinear Algebra 13 International Journal of Mathematics and Mathematical Sciences 13 Results in Mathematics 13 Studies in Applied Mathematics 13 Applicable Algebra in Engineering, Communication and Computing 13 Journal of Algebraic Combinatorics 12 Communications in Algebra 12 Computers & Mathematics with Applications 12 Mathematical Notes 12 Theoretical Computer Science 12 Turkish Journal of Mathematics 12 Filomat 12 Annals of Combinatorics 12 Journal of Nonlinear Science and Applications 11 Aequationes Mathematicae 11 Integral Transforms and Special Functions 11 Journal of Integer Sequences 11 Journal of Algebra and its Applications 11 Open Mathematics 10 Compositio Mathematica 10 Functiones et Approximatio. Commentarii Mathematici 10 Manuscripta Mathematica 10 Mathematische Nachrichten 10 Mathematika 10 Journal of Difference Equations and Applications 10 Discrete Dynamics in Nature and Society 10 Symmetry 9 Acta Mathematica Academiae Scientiarum Hungaricae 9 Acta Arithmetica 9 Duke Mathematical Journal 9 Proceedings of the Japan Academy. Series A 9 Applicable Analysis and Discrete Mathematics 8 Mathematica Slovaca 8 Graphs and Combinatorics 8 Acta Mathematica Sinica. English Series 8 Journal of the Australian Mathematical Society 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Bulletin of the American Mathematical Society 8 AIMS Mathematics 7 Periodica Mathematica Hungarica 7 Annales de l’Institut Fourier 7 Journal of Symbolic Computation 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Experimental Mathematics 7 Communications of the Korean Mathematical Society 6 International Journal of Mathematical Education in Science and Technology 6 Indian Journal of Pure & Applied Mathematics 6 Ukrainian Mathematical Journal 6 Nagoya Mathematical Journal 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Quaestiones Mathematicae 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Acta Mathematica Hungarica 6 Acta Applicandae Mathematicae 6 Indagationes Mathematicae. New Series ...and 288 more Serials all top 5 Cited in 56 Fields 1,877 Number theory (11-XX) 1,021 Combinatorics (05-XX) 506 Special functions (33-XX) 139 Group theory and generalizations (20-XX) 118 Commutative algebra (13-XX) 110 Linear and multilinear algebra; matrix theory (15-XX) 108 Information and communication theory, circuits (94-XX) 102 Field theory and polynomials (12-XX) 92 Harmonic analysis on Euclidean spaces (42-XX) 89 Probability theory and stochastic processes (60-XX) 82 Algebraic geometry (14-XX) 72 Computer science (68-XX) 56 Approximations and expansions (41-XX) 52 Functions of a complex variable (30-XX) 49 Numerical analysis (65-XX) 43 Difference and functional equations (39-XX) 41 Real functions (26-XX) 41 Ordinary differential equations (34-XX) 34 Geometry (51-XX) 34 Quantum theory (81-XX) 32 Associative rings and algebras (16-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 29 Integral transforms, operational calculus (44-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Operator theory (47-XX) 18 Nonassociative rings and algebras (17-XX) 18 Functional analysis (46-XX) 18 Convex and discrete geometry (52-XX) 17 Statistics (62-XX) 12 History and biography (01-XX) 11 Measure and integration (28-XX) 11 Partial differential equations (35-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Sequences, series, summability (40-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 7 Manifolds and cell complexes (57-XX) 7 Operations research, mathematical programming (90-XX) 7 Biology and other natural sciences (92-XX) 6 Mathematical logic and foundations (03-XX) 5 Relativity and gravitational theory (83-XX) 4 General and overarching topics; collections (00-XX) 4 General algebraic systems (08-XX) 4 Category theory; homological algebra (18-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematics education (97-XX) 2 Integral equations (45-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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