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Carlitz, Leonard (b. 1907 d. 1999)

Author ID: carlitz.leonard Recent zbMATH articles by "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
1,295 Co-Co-Authors
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 4 more Serials

Publications by Year

Citations contained in zbMATH Open

547 Publications have been cited 4,860 times in 3,408 Documents Cited by Year
Degenerate Stirling, Bernoulli and Eulerian numbers. Zbl 0404.05004
Carlitz, Leonard
210
1979
\(q\)-Bernoulli numbers and polynomials. Zbl 0032.00304
Carlitz, Leonard
176
1948
Some orthogonal q-polynomials. Zbl 0135.27802
Al-Salam, W. A.; Carlitz, Leonard
95
1965
Eulerian numbers and polynomials. Zbl 0092.06601
Carlitz, Leonard
94
1959
On certain functions connected with polynomials in a Galois field. JFM 61.0127.01
Carlitz, Leonard
92
1935
\(q\)-Bernoulli and Eulerian numbers. Zbl 0058.01204
Carlitz, Leonard
88
1954
A degenerate Staudt-Clausen theorem. Zbl 0070.04003
Carlitz, Leonard
85
1956
On certain functions connected with polynomials in a Galois field. Zbl 0012.04904
Carlitz, Leonard
77
1935
Weighted Stirling numbers of the first and second kind. I. Zbl 0428.05003
Carlitz, Leonard
76
1980
A combinatorial property of q-Eulerian numbers. Zbl 0296.05007
Carlitz, Leonard
74
1975
A characterization of algebraic number fields with class number two. Zbl 0202.33101
Carlitz, Leonard
70
1960
Some theorems on generalized Dedekind sums. Zbl 0057.03701
Carlitz, Leonard
57
1953
Two element lattice permutation numbers and their \(q\)-generalization. Zbl 0126.26301
Carlitz, Leonard; Riordan, John
44
1964
Arithmetic properties of generalized Bernoulli numbers. Zbl 0125.02202
Carlitz, Leonard
44
1959
Note on the integral of the product of several Bernoulli polynomials. Zbl 0086.05801
Carlitz, Leonard
42
1959
Some inverse relations. Zbl 0276.05012
Carlitz, Leonard
40
1973
Bounds for exponential sums. Zbl 0088.03901
Carlitz, Leonard; Uchiyama, S.
40
1957
Explicit evaluation of certain exponential sums. Zbl 0396.12017
Carlitz, Leonard
38
1979
Generating functions for certain q-orthogonal polynomials. Zbl 0273.33012
Carlitz, Leonard
37
1972
A note on Bernoulli and Euler polynomials of the second kind. Zbl 0118.06501
Carlitz, Leonard
37
1961
Permutations and sequences with repetitions by number of increases. Zbl 0304.05002
Carlitz, Leonard; Roselle, D. P.; Scoville, R. A.
36
1966
Some polynomials related to theta functions. Zbl 0071.06202
Carlitz, Leonard
36
1956
On Abelian fields. JFM 59.0188.02
Carlitz, L.
34
1933
Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003
Carlitz, Leonard
33
1980
Generalized Eulerian numbers: combinatorial applications. Zbl 0276.05006
Carlitz, Leonard; Scoville, Richard
33
1974
A class of polynomials. JFM 64.0093.01
Carlitz, L.
32
1938
A theorem on permutations in a finite field. Zbl 0095.03003
Carlitz, Leonard
32
1960
Representation by quadratic forms in a finite field. Zbl 0055.01301
Carlitz, Leonard
31
1954
Maillet’s determinant. Zbl 0065.02703
Carlitz, Leonard; Olson, F. R.
31
1955
Some generating functions for Laguerre polynomials. Zbl 0167.35202
Carlitz, Leonard
30
1968
A theorem of Dickson on irreducible polynomials. Zbl 0048.02701
Carlitz, Leonard
30
1952
Permutations with prescribed pattern. Zbl 0229.05015
Carlitz, Leonard
30
1973
The product of two Eulerian polynomials. Zbl 0114.03406
Carlitz, Leonard
29
1963
Asymptotic properties of Eulerian numbers. Zbl 0226.60049
Carlitz, Leonard; Kurtz, D. C.; Scoville, R.; Stackelberg, O. P.
29
1972
Primitive roots in a finite field. Zbl 0048.27302
Carlitz, Leonard
29
1952
A set of polynomials. JFM 66.0055.01
Carlitz, L.
28
1940
Representations by skew forms in a finite field. Zbl 0056.01702
Carlitz, Leonard
28
1954
A simple proof of the quintuple product identity. Zbl 0234.05005
Carlitz, Leonard; Subbarao, M. V.
27
1972
Kloosterman sums and finite field extensions. Zbl 0194.07902
Carlitz, Leonard
27
1969
Bernoulli and Euler numbers and orthogonal polynomials. Zbl 0085.28702
Carlitz, Leonard
26
1959
Eulerian numbers and polynomials of higher order. Zbl 0104.29003
Carlitz, Leonard
25
1960
Permutations in a finite field. Zbl 0052.03704
Carlitz, Leonard
25
1953
A note on the Bessel polynomials. Zbl 0084.06603
Carlitz, Leonard
25
1957
Enumeration of pairs of sequences by rises, falls and levels. Zbl 0348.05006
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
24
1976
Expansions of \(q\)-Bernoulli numbers. Zbl 0102.03201
Carlitz, Leonard
24
1958
Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010
Carlitz, Leonard
23
1975
The Staudt-Clausen theorem. Zbl 0122.04702
Carlitz, Leonard
23
1961
The singular series for sums of squares of polynomials. Zbl 0032.00204
Carlitz, Leonard
23
1947
Some theorems on irreducible reciprocal polynomials over a finite field. Zbl 0155.09801
Carlitz, Leonard
22
1967
The divided central differences of zero. Zbl 0108.25106
Carlitz, Leonard; Riordan, John
22
1963
Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010
Carlitz, Leonard
21
1974
Functions and polynomials \(\pmod{p^ n}\). Zbl 0134.25406
Carlitz, Leonard
21
1964
A note on the Laguerre polynomials. Zbl 0097.05602
Carlitz, Leonard
21
1960
The number of solutions of a special system of equations in a finite field. Zbl 0147.04003
Carlitz, Leonard; Wells, Charles
21
1966
Some theorems on permutation polynomials. Zbl 0217.33003
Carlitz, Leonard
21
1962
Sequences, paths, ballot numbers. Zbl 0257.05001
Carlitz, Leonard
20
1972
The arithmetic of polynomials in a Galois field. JFM 58.0150.01
Carlitz, L.
20
1932
Enumeration of sequences by rises and falls: a refinement of the Simon Newcomb problem. Zbl 0243.05008
Carlitz, Leonard
20
1972
Tangent numbers and operators. Zbl 0243.05009
Carlitz, Leonard; Scoville, Richard
20
1972
Single variable Bell polynomials. Zbl 0109.02906
Carlitz, Leonard
20
1962
Enumeration of up-down sequences. Zbl 0255.05003
Carlitz, Leonard
19
1973
Scalar polynomial functions on the \(n\times n\) matrices over a finite field. Zbl 0307.15004
Brawley, J. V.; Carlitz, Leonard; Levine, Jack
19
1975
An analogue of the von Staudt-Clausen theorem. JFM 63.0879.03
Carlitz, L.
19
1937
Rectangular arrays and plane partitions. Zbl 0168.01502
Carlitz, Leonard
19
1967
The number of terms in the cyclotomic polynomial \(F_{pq}(x)\). Zbl 0146.26704
Carlitz, Leonard
19
1966
Representations by hermitian forms in a finite field. Zbl 0065.24805
Carlitz, Leonard; Hodges, John H.
19
1955
Sequences and inversions. Zbl 0206.02302
Carlitz, Leonard
18
1970
Irreducibles and the composed product for polynomials over a finite field. Zbl 0615.05007
Brawley, J. V.; Carlitz, Leonard
17
1987
Permutations in finite fields. Zbl 0146.06702
Carlitz, Leonard
17
1963
Some congruences for the Bernoulli numbers. Zbl 0050.03902
Carlitz, Leonard
17
1953
Multiplication formulas for products of Bernoulli and Euler polynomials. Zbl 0089.28002
Carlitz, Leonard
17
1961
Polynomials over finite fields with minimal value sets. Zbl 0106.01105
Carlitz, Leonard; Lewis, D. J.; Mills, W. H.; Straus, E. G.
17
1961
Some cyclotomic matrices. Zbl 0112.27102
Carlitz, Leonard
17
1959
Extended Bernoulli and Eulerian numbers. Zbl 0127.29501
Carlitz, Leonard
17
1964
A note on certain biorthogonal polynomials. Zbl 0157.11902
Carlitz, Leonard
17
1968
Some theorems on Bernoulli numbers of higher order. Zbl 0046.04005
Carlitz, Leonard
17
1952
The reciprocity theorem for Dedekind sums. Zbl 0057.03703
Carlitz, Leonard
17
1953
Some polynomials related to theta functions. Zbl 0079.09503
Carlitz, Leonard
17
1957
A class of polynomials. Zbl 0018.19806
Carlitz, Leonard
16
1938
Weighted quadratic partitions over a finite field. Zbl 0052.03805
Carlitz, Leonard
16
1953
Some remarks on the Bell numbers. Zbl 0426.10013
Carlitz, Leonard
15
1980
A class of generating functions. Zbl 0357.33004
Carlitz, Leonard
15
1977
Generalized Dedekind sums. Zbl 0122.05104
Carlitz, Leonard
15
1964
Note on the Shapiro polynomials. Zbl 0191.35101
Brillhart, J.; Carlitz, Leonard
15
1970
On some polynomials of Tricomi. Zbl 0081.06601
Carlitz, Leonard
15
1958
The arithmetic of polynomials in a Galois field. Zbl 0003.19502
Carlitz, Leonard
15
1932
Permutations, sequences and special functions. Zbl 0301.05001
Carlitz, Leonard
14
1975
Enumeration of pairs of permutations. Zbl 0322.05008
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
14
1976
Certain special equations in a finite field. Zbl 0055.26803
Carlitz, Leonard
14
1954
Fibonacci representations. Zbl 0167.03901
Carlitz, Leonard
14
1968
Sets of primitive roots. Zbl 0071.26903
Carlitz, Leonard
14
1956
The distribution of irreducible polynomials in several indeterminates. II. Zbl 0135.01704
Carlitz, Leonard
13
1965
The coefficients in an asymptotic expansion. Zbl 0145.30104
Carlitz, Leonard
13
1965
Some formulas of F. H. Jackson. Zbl 0177.31102
Carlitz, Leonard
13
1969
Note on the numbers of Jordan and Ward. Zbl 0228.05005
Carlitz, Leonard
13
1971
Congruence properties of the polynomials of Hermite, Laguerre and Legendre. Zbl 0055.06401
Carlitz, Leonard
13
1954
Note on irregular primes. Zbl 0058.03702
Carlitz, Leonard
13
1954
A note on generalized Dedekind sums. Zbl 0057.03802
Carlitz, Leonard
13
1954
Some determinants of Bernoulli, Euler and related numbers. Zbl 0093.01504
Al-Salam, W. A.; Carlitz, Leonard
13
1959
Enumeration of rises and falls by position. Zbl 0259.05008
Carlitz, Leonard; Scoville, Richard
12
1973
Remark on MacMahon’s identity for sums of cubes of binomial coefficients. Zbl 1221.05025
Carlitz, Leonard; Gould, Henry Wadsworth
1
2007
Chapter 19 of “The arithmetic of polynomials”. Zbl 0824.11039
Carlitz, Leonard
3
1995
Some new generating functions for the Hermite polynomials. Zbl 0687.33009
Carlitz, Leonard; Srivastava, H. M.
2
1990
A test for additive decomposability of irreducibles over a finite field. Zbl 0688.12005
Brawley, J. V.; Carlitz, Leonard
3
1989
Irreducibles and the composed product for polynomials over a finite field. Zbl 0615.05007
Brawley, J. V.; Carlitz, Leonard
17
1987
An application of the reciprocity theorem for Dedekind sums. Zbl 0546.10010
Carlitz, Leonard
4
1984
Some inversion theorems. Zbl 0513.33010
Carlitz, Leonard
1
1982
Some polynomials related to the Bernoulli and Euler polynomials. Zbl 0474.10012
Carlitz, Leonard
6
1981
Enumeration of permutations by sequences. II. Zbl 0499.05007
Carlitz, Leonard
5
1981
Some remarks on the multiplication theorems for the Bernoulli and Euler polynomials. Zbl 0474.10013
Carlitz, Leonard
2
1981
Weighted Stirling numbers of the first and second kind. I. Zbl 0428.05003
Carlitz, Leonard
76
1980
Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003
Carlitz, Leonard
33
1980
Some remarks on the Bell numbers. Zbl 0426.10013
Carlitz, Leonard
15
1980
Evaluation of some exponential sums over a finite field. Zbl 0456.12011
Carlitz, Leonard
10
1980
Explicit formulas for the Dumont-Foata polynomial. Zbl 0445.05009
Carlitz, Leonard
7
1980
The number of permutations with a given number of sequences. Zbl 0451.05005
Carlitz, Leonard
5
1980
Multiple binomial and power sums. Zbl 0457.05006
Carlitz, Leonard
4
1980
A characterization of the Bernoulli and Euler polynomials. Zbl 0443.33020
Carlitz, Leonard
2
1980
A reciprocity theorem and a three-term relation for generalized Dedekind- Rademacher sums. Zbl 0369.10007
Carlitz, Leonard
2
1980
Degenerate Stirling, Bernoulli and Eulerian numbers. Zbl 0404.05004
Carlitz, Leonard
210
1979
Explicit evaluation of certain exponential sums. Zbl 0396.12017
Carlitz, Leonard
38
1979
A combinatorial identity and some generalizations. Zbl 0427.05012
Carlitz, Leonard
1
1979
Generalized Stirling and related numbers. Zbl 0402.10011
Carlitz, Leonard
7
1978
The number of derangements of a sequence with given specification. Zbl 0403.05008
Carlitz, Leonard
7
1978
Generalized Eulerian numbers and polynomials. Zbl 0379.10008
Carlitz, Leonard; Hoggatt, V. E. jun.
7
1978
Many-term relations for multiple Dedekind sums. Zbl 0418.10013
Carlitz, Leonard
6
1978
Enumeration of permutations by sequences. Zbl 0412.05005
Carlitz, Leonard
6
1978
A note on exponential sums. Zbl 0388.12007
Carlitz, Leonard
6
1978
A note on q-Eulerian numbers. Zbl 0386.05003
Carlitz, Leonard
6
1978
A set of polynomials in three variables. Zbl 0381.33010
Carlitz, Leonard
5
1978
A characterization of permutation polynomials over a finite field. Zbl 0406.12011
Carlitz, Leonard; Lutz, Jo Ann
4
1978
Permutations with prescribed pattern. II: Applications. Zbl 0312.05012
Carlitz, Leonard
4
1978
Recurrences of the third order and related combinatorial identities. Zbl 0374.05006
Carlitz, Leonard
4
1978
Some combinatorial identities of Bernstein. Zbl 0374.05005
Carlitz, Leonard
3
1978
Some polynomials related to Fibonacci and Eulerian numbers. Zbl 0402.10012
Carlitz, Leonard
2
1978
Up-down and down-up partitions. Zbl 0434.05008
Carlitz, Leonard
2
1978
Some remarks on the Eulerian function. Zbl 0439.10005
Carlitz, Leonard
2
1978
Some classes of Fibonacci sums. Zbl 0401.10013
Carlitz, Leonard
2
1978
Stirling pairs. Zbl 0427.05002
Carlitz, Leonard
1
1978
Specialized Möbius inversion. Zbl 0386.05002
Carlitz, Leonard
1
1978
A class of generating functions. Zbl 0357.33004
Carlitz, Leonard
15
1977
Some expansions and convolution formulas related to MacMahon’s master theorem. Zbl 0359.05003
Carlitz, Leonard
12
1977
Some numbers related to the Stirling numbers of the first and second kind. Zbl 0362.05010
Carlitz, Leonard
11
1977
Some theorems on generalized Dedekind-Rademacher sums. Zbl 0341.10011
Carlitz, Leonard
6
1977
Some permutation problems. Zbl 0351.05003
Carlitz, 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 0352.20003
Brenner, J. L.; Carlitz, Leonard
3
1977
Alternating sequences. Zbl 0361.05003
Carlitz, Leonard
3
1977
Enumeration of compositions by rises, falls and levels. Zbl 0361.05004
Carlitz, Leonard
3
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 0401.12018
Carlitz, Leonard; Long, A. F. jun.
1
1977
Functions and correspondences in a finite field. Zbl 0353.12007
Carlitz, Leonard
1
1977
Some sums containing the greatest integer function. Zbl 0362.10004
Carlitz, Leonard
1
1977
Note on some convolved power sums. Zbl 0363.10008
Carlitz, Leonard
1
1977
Some combinatorial identities of Sarmanov, Sevast’yanov, and Tarakanov. Zbl 0351.05005
Carlitz, Leonard
1
1977
Enumeration of pairs of sequences by rises, falls and levels. Zbl 0348.05006
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
24
1976
Enumeration of pairs of permutations. Zbl 0322.05008
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
14
1976
Restricted compositions. Zbl 0338.05005
Carlitz, Leonard
7
1976
Set partitions. Zbl 0362.05024
Carlitz, Leonard
5
1976
A theorem on differential operators. Zbl 0331.44007
Carlitz, Leonard
3
1976
Some hypergeometric polynomials associated with the Lauricella function \(F_D\) of several variables. I. Zbl 0313.33008
Carlitz, Leonard; Srivastava, H. M.
2
1976
Corrigendum to: Generalized Eulerian numbers: combinatorial applications. Zbl 0341.05006
Carlitz, Leonard; Scoville, Richard
2
1976
Polynomial representations and compositions. I. Zbl 0328.05005
Carlitz, Leonard
2
1976
Some hypergeometric polynomials associated with the Lauricella function \(F_D\) of several variables. II. Zbl 0325.33003
Carlitz, Leonard; Srivastava, H. M.
1
1976
A special class of triangular arrays. Zbl 0339.05011
Carlitz, Leonard
1
1976
Some arithmetic properties of a special sequence of integers. Zbl 0358.10007
Carlitz, Leonard
1
1976
Some sums of multinomial coefficients. Zbl 0361.05002
Carlitz, Leonard
1
1976
The reciprocity theorem for Dedekind-Rademacher sums. Zbl 0282.10016
Carlitz, Leonard
1
1976
Some binomial sums. Zbl 0339.05006
Carlitz, Leonard
1
1976
A combinatorial property of q-Eulerian numbers. Zbl 0296.05007
Carlitz, Leonard
74
1975
Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010
Carlitz, Leonard
23
1975
Scalar polynomial functions on the \(n\times n\) matrices over a finite field. Zbl 0307.15004
Brawley, J. V.; Carlitz, Leonard; Levine, Jack
19
1975
Permutations, sequences and special functions. Zbl 0301.05001
Carlitz, Leonard
14
1975
Generating functions for certain types of permutations. Zbl 0303.05007
Carlitz, Leonard; Scoville, Richard
7
1975
Enumeration of up-down permutations by upper records. Zbl 0315.05004
Carlitz, Leonard; Scoville, Richard
6
1975
Some polynomials associated with Dedekind sums. Zbl 0317.10017
Carlitz, Leonard
6
1975
A note on the left factorial function. Zbl 0389.05004
Carlitz, Leonard
6
1975
Generating functions for a special class of permutations. Zbl 0297.05011
Carlitz, Leonard
5
1975
Branchings and partitions. Zbl 0279.05012
Carlitz, Leonard; Stanley, Richard P.
4
1975
Eulerian numbers and operators. Zbl 0302.05006
Carlitz, Leonard; Scoville, Richard
2
1975
Some sums containing the greatest integer function. Zbl 0307.10003
Carlitz, Leonard
2
1975
Note on a binomial identity. Zbl 0311.05005
Carlitz, Leonard
2
1975
A note on weighted sequences. Zbl 0319.05003
Carlitz, Leonard; Scoville, Richard
2
1975
Correspondence in a finite field. I. Zbl 0254.12009
Carlitz, Leonard
1
1975
Correspondences in a finite field. II. Zbl 0281.12017
Carlitz, Leonard
1
1975
Some sums involving fractional parts. Zbl 0302.10007
Carlitz, Leonard
1
1975
Some identities of Bruckman. Zbl 0303.05012
Carlitz, Leonard
1
1975
A note on sums of three squares in \(GF[q,x]\). Zbl 0313.10046
Carlitz, Leonard
1
1975
A three-term relation for some sums related to Dedekind sums. Zbl 0311.10006
Carlitz, Leonard
1
1975
Generalized Eulerian numbers: combinatorial applications. Zbl 0276.05006
Carlitz, Leonard; Scoville, Richard
33
1974
Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010
Carlitz, Leonard
21
1974
Permutations and sequences. Zbl 0285.05011
Carlitz, Leonard
10
1974
Enumeration of pairs of permutations and sequences. Zbl 0291.05007
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
9
1974
An application of MacMahon’s Master theorem. Zbl 0282.05008
Carlitz, Leonard
8
1974
A q-identity. Zbl 0296.33001
Carlitz, Leonard
8
1974
Stirling operators. Zbl 0292.05002
Carlitz, Leonard; Klamkin, M. S.
7
1974
A note on Bernoulli numbers and polynomials. Zbl 0283.10003
Carlitz, Leonard
5
1974
Enumeration of permutations by rises, falls, rising maxima and falling maxima. Zbl 0298.05007
Carlitz, Leonard; Scoville, R.
4
1974
A reciprocity and four-term relation for generalized Dedekind sums. Zbl 0291.10005
Carlitz, Leonard
4
1974
Inversions and generalized Dedekind sums. Zbl 0292.10007
Carlitz, Leonard
4
1974
Power sums of matrices over a finite field. Zbl 0282.15009
Brawley, J. V.; Carlitz, Leonard; Levine, J.
3
1974
Enumeration of sequences of given specification according. Zbl 0278.05008
Carlitz, Leonard; Vaughan, Theresa
3
1974
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Cited by 2,959 Authors

203 Kim, Taekyun
154 Kim, Dae San
98 Carlitz, Leonard
52 Srivastava, Hari Mohan
42 Chu, Wenchang
40 Jang, Lee-Chae
33 Rim, Seog-Hoon
31 Simsek, Yilmaz
27 Cao, Jian
26 Dolgiĭ, Dmitriĭ Viktorovich
26 Kwon, JongKyum
24 Ryoo, Cheon Seoung
23 Mansour, Toufik
22 Zeng, Jiang
20 Ismail, Mourad El-Houssieny
20 Komatsu, Takao
20 Lee, Hyunseok
20 Zhang, Wenpeng
19 Cohen, Stephen D.
19 Khan, Waseem Ahmad
18 Araci, Serkan
18 Gessel, Ira Martin
18 Kim, Hanyoung
17 Kim, Minsoo
17 Park, Jin Woo
16 Thakur, Dinesh S.
15 Brawley, Joel Vincent jun.
15 Dilcher, Karl
15 Kim, Hyekyung
15 Kim, Young Hee
14 Acikgoz, Mehmet
14 Hodges, John H.
14 Khan, Subuhi
14 Young, Paul Thomas
13 Foata, Dominique C.
13 Kwon, Hyuck In
13 Merca, Mircea
13 Wang, Qiang (Steven)
12 Bayad, Abdelmejid
12 Helleseth, Tor
12 Kilic, Emrah
12 Lee, Sang Hun
12 Ma, Shi-Mei
12 Mullen, Gary L.
11 Can, Mumun
11 Charalambides, Charalambos A.
11 Rawlings, Don
11 Shallit, Jeffrey Outlaw
11 Stanley, Richard Peter
10 Baoulina, Ioulia N.
10 Belbachir, Hacene
10 Cao, Xiwang
10 Chapman, Scott Thomas
10 Howard, Fredric Timothy
10 Jang, Gwan-Woo
10 Jeong, Sangtae
10 Kurt, Veli
10 Moree, Pieter
10 Remmel, Jeffrey Brian
10 Sagan, Bruce Eli
10 Topuzoǧlu, Alev
10 Zeng, Xiangyong
9 Andrews, George Eyre
9 Berndt, Bruce Carl
9 Cenkci, Mehmet
9 Chen, William Yong-Chuan
9 Jackson, David M.
9 Ngo Dac, Tuan
9 Porter, A. Duane
9 Ramírez, José Luis
9 Schmid, Wolfgang Alexander
9 Scoville, Richard A.
9 Seo, Jongjin
9 Shattuck, Mark A.
9 Stanton, Dennis W.
8 Chang, Chieh-Yu
8 Chatterjea, Santi Kumar
8 Dağli, Muhammet Cihat
8 Goss, David Mark
8 Han, Guo-Niu
8 He, Yuan
8 Hou, Xiang-Dong
8 Kim, Daeyeoul
8 Lim, Dongkyu
8 Lin, Zhicong
8 Milne, Stephen C.
8 Ozarslan, Mehmet Ali
8 Papanikolas, Matthew A.
8 Pellarin, Federico
8 Pyo, Sung-Soo
8 Xu, Aimin
8 Zinov’ev, Viktor Aleksandrovich
7 Agoh, Takashi
7 Anglès, Bruno
7 Chihara, Theodore Seio
7 Corcino, Roberto Bagsarsa
7 Denis, Laurent
7 Duran, Ugur
7 Geroldinger, Alfred
7 Gotti, Felix
...and 2,859 more Authors
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Cited in 433 Serials

228 Journal of Number Theory
160 Discrete Mathematics
132 Finite Fields and their Applications
107 Journal of Combinatorial Theory. Series A
93 Journal of Mathematical Analysis and Applications
90 Advances in Difference Equations
78 Proceedings of the American Mathematical Society
75 Advances in Applied Mathematics
69 The Ramanujan Journal
51 European Journal of Combinatorics
47 Journal of Inequalities and Applications
46 Linear Algebra and its Applications
46 International Journal of Number Theory
42 Applied Mathematics and Computation
42 Journal of Computational and Applied Mathematics
41 Transactions of the American Mathematical Society
40 Monatshefte für Mathematik
37 Advances in Mathematics
34 The Electronic Journal of Combinatorics
33 Archiv der Mathematik
32 Journal of Algebra
31 Rocky Mountain Journal of Mathematics
31 Mathematics of Computation
30 Designs, Codes and Cryptography
27 Journal of Approximation Theory
27 Mathematische Zeitschrift
27 Russian Journal of Mathematical Physics
26 Discrete Applied Mathematics
25 Abstract and Applied Analysis
24 Journal of Pure and Applied Algebra
24 Journal of Applied Mathematics & Informatics
23 Rendiconti del Seminario Matematico della Università di Padova
23 Journal de Théorie des Nombres de Bordeaux
22 Integers
20 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
19 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Journal of Integer Sequences
18 Cryptography and Communications
17 Czechoslovak Mathematical Journal
17 Turkish Journal of Mathematics
17 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
16 Bulletin of the Australian Mathematical Society
16 Journal of Statistical Planning and Inference
16 Applicable Analysis and Discrete Mathematics
15 Communications in Algebra
15 Linear and Multilinear Algebra
15 Inventiones Mathematicae
15 Mathematische Annalen
15 Mathematica Slovaca
15 Filomat
14 American Mathematical Monthly
14 Journal of Mathematical Physics
14 Applicable Algebra in Engineering, Communication and Computing
14 Journal of Algebraic Combinatorics
14 Annals of Combinatorics
13 Acta Arithmetica
13 International Journal of Mathematics and Mathematical Sciences
13 Results in Mathematics
13 Studies in Applied Mathematics
13 Aequationes Mathematicae
13 Journal of Algebra and its Applications
12 Computers & Mathematics with Applications
12 Mathematical Notes
12 Functiones et Approximatio. Commentarii Mathematici
12 Theoretical Computer Science
12 Integral Transforms and Special Functions
12 Journal of Nonlinear Science and Applications
12 Open Mathematics
11 Mathematical Methods in the Applied Sciences
11 Compositio Mathematica
11 Manuscripta Mathematica
11 Mathematische Nachrichten
11 Mathematika
11 Journal of Difference Equations and Applications
11 AIMS Mathematics
10 Periodica Mathematica Hungarica
10 Discrete Dynamics in Nature and Society
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Symmetry
9 Acta Mathematica Academiae Scientiarum Hungaricae
9 Demonstratio Mathematica
9 Duke Mathematical Journal
9 Proceedings of the Japan Academy. Series A
9 Acta Mathematica Sinica. English Series
8 Indian Journal of Pure & Applied Mathematics
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Quaestiones Mathematicae
8 Graphs and Combinatorics
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Journal of the Australian Mathematical Society
8 Bulletin of the American Mathematical Society
7 Ukrainian Mathematical Journal
7 Annales de l’Institut Fourier
7 Journal of Symbolic Computation
7 Indagationes Mathematicae. New Series
7 Experimental Mathematics
7 Communications of the Korean Mathematical Society
7 Mediterranean Journal of Mathematics
7 Advances in Mathematics of Communications
7 Science China. Mathematics
...and 333 more Serials
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Cited in 58 Fields

2,156 Number theory (11-XX)
1,150 Combinatorics (05-XX)
579 Special functions (33-XX)
155 Group theory and generalizations (20-XX)
131 Information and communication theory, circuits (94-XX)
129 Commutative algebra (13-XX)
129 Linear and multilinear algebra; matrix theory (15-XX)
116 Field theory and polynomials (12-XX)
100 Probability theory and stochastic processes (60-XX)
98 Harmonic analysis on Euclidean spaces (42-XX)
93 Algebraic geometry (14-XX)
89 Computer science (68-XX)
67 Functions of a complex variable (30-XX)
62 Approximations and expansions (41-XX)
56 Numerical analysis (65-XX)
53 Difference and functional equations (39-XX)
47 Real functions (26-XX)
44 Ordinary differential equations (34-XX)
40 Quantum theory (81-XX)
38 Associative rings and algebras (16-XX)
37 Geometry (51-XX)
36 Order, lattices, ordered algebraic structures (06-XX)
29 Integral transforms, operational calculus (44-XX)
26 Dynamical systems and ergodic theory (37-XX)
26 Operator theory (47-XX)
22 Statistics (62-XX)
21 Functional analysis (46-XX)
21 Convex and discrete geometry (52-XX)
19 Nonassociative rings and algebras (17-XX)
15 Sequences, series, summability (40-XX)
14 History and biography (01-XX)
14 Partial differential equations (35-XX)
14 Statistical mechanics, structure of matter (82-XX)
11 Mathematical logic and foundations (03-XX)
11 Measure and integration (28-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Topological groups, Lie groups (22-XX)
9 Operations research, mathematical programming (90-XX)
8 Abstract harmonic analysis (43-XX)
7 Manifolds and cell complexes (57-XX)
7 Biology and other natural sciences (92-XX)
5 General and overarching topics; collections (00-XX)
5 Category theory; homological algebra (18-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 General algebraic systems (08-XX)
4 Differential geometry (53-XX)
4 Algebraic topology (55-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Relativity and gravitational theory (83-XX)
4 Systems theory; control (93-XX)
3 Mathematics education (97-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Potential theory (31-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)

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