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Carlitz, Leonard

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Author ID: carlitz.leonard Recent zbMATH articles by "Carlitz, Leonard"
Published as: Carlitz, L.; Carlitz, Leonard
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 830 Publications since 1930, including 1 Book
Biographic References: 7 Publications
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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
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 Tohoku 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 Iaşi. Secţia 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

Publications by Year

Citations contained in zbMATH Open

532 Publications have been cited 3,962 times in 2,660 Documents Cited by Year
\(q\)-Bernoulli numbers and polynomials. Zbl 0032.00304
Carlitz, Leonard
141
1948
On certain functions connected with polynomials in a Galois field. Zbl 0012.04904
Carlitz, Leonard
106
1935
Degenerate Stirling, Bernoulli and Eulerian numbers. Zbl 0404.05004
Carlitz, Leonard
96
1979
Some orthogonal q-polynomials. Zbl 0135.27802
Al-Salam, W. A.; Carlitz, Leonard
76
1965
On certain functions connected with polynomials in a Galois field. JFM 61.0127.01
Carlitz, Leonard
73
1935
Eulerian numbers and polynomials. Zbl 0092.06601
Carlitz, Leonard
70
1959
\(q\)-Bernoulli and Eulerian numbers. Zbl 0058.01204
Carlitz, Leonard
70
1954
A characterization of algebraic number fields with class number two. Zbl 0202.33101
Carlitz, Leonard
65
1960
A combinatorial property of q-Eulerian numbers. Zbl 0296.05007
Carlitz, Leonard
58
1975
Some theorems on generalized Dedekind sums. Zbl 0057.03701
Carlitz, Leonard
50
1953
Weighted Stirling numbers of the first and second kind. I. Zbl 0428.05003
Carlitz, Leonard
47
1980
Note on the integral of the product of several Bernoulli polynomials. Zbl 0086.05801
Carlitz, Leonard
39
1959
A degenerate Staudt-Clausen theorem. Zbl 0070.04003
Carlitz, Leonard
39
1956
Two element lattice permutation numbers and their \(q\)-generalization. Zbl 0126.26301
Carlitz, Leonard; Riordan, John
36
1964
Arithmetic properties of generalized Bernoulli numbers. Zbl 0125.02202
Carlitz, Leonard
35
1959
Bounds for exponential sums. Zbl 0088.03901
Carlitz, Leonard; Uchiyama, S.
35
1957
Some inverse relations. Zbl 0276.05012
Carlitz, Leonard
32
1973
Explicit evaluation of certain exponential sums. Zbl 0396.12017
Carlitz, Leonard
31
1979
Generating functions for certain q-orthogonal polynomials. Zbl 0273.33012
Carlitz, Leonard
31
1972
A class of polynomials. JFM 64.0093.01
Carlitz, L.
30
1938
A note on Bernoulli and Euler polynomials of the second kind. Zbl 0118.06501
Carlitz, Leonard
29
1961
Generalized Eulerian numbers: combinatorial applications. Zbl 0276.05006
Carlitz, Leonard; Scoville, Richard
28
1974
On Abelian fields. JFM 59.0188.02
Carlitz, L.
28
1933
Permutations with prescribed pattern. Zbl 0229.05015
Carlitz, Leonard
27
1973
Some generating functions for Laguerre polynomials. Zbl 0167.35202
Carlitz, Leonard
27
1968
Some polynomials related to theta functions. Zbl 0071.06202
Carlitz, Leonard
27
1956
Maillet’s determinant. Zbl 0065.02703
Carlitz, Leonard; Olson, F. R.
27
1955
Representation by quadratic forms in a finite field. Zbl 0055.01301
Carlitz, Leonard
27
1954
A class of polynomials. Zbl 0018.19806
Carlitz, Leonard
27
1938
Permutations and sequences with repetitions by number of increases. Zbl 0304.05002
Carlitz, Leonard; Roselle, D. P.; Scoville, R. A.
26
1966
A theorem on permutations in a finite field. Zbl 0095.03003
Carlitz, Leonard
26
1960
A set of polynomials. JFM 66.0055.01
Carlitz, L.
25
1940
The arithmetic of polynomials in a Galois field. Zbl 0003.19502
Carlitz, Leonard
24
1932
Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003
Carlitz, Leonard
23
1980
Asymptotic properties of Eulerian numbers. Zbl 0226.60049
Carlitz, Leonard; Kurtz, D. C.; Scoville, R.; Stackelberg, O. P.
23
1972
Representations by skew forms in a finite field. Zbl 0056.01702
Carlitz, Leonard
23
1954
A theorem of Dickson on irreducible polynomials. Zbl 0048.02701
Carlitz, Leonard
23
1952
A set of polynomials. Zbl 0026.05304
Carlitz, Leonard
23
1940
Kloosterman sums and finite field extensions. Zbl 0194.07902
Carlitz, Leonard
22
1969
A simple proof of the quintuple product identity. Zbl 0234.05005
Carlitz, Leonard; Subbarao, M. V.
21
1972
The product of two Eulerian polynomials. Zbl 0114.03406
Carlitz, Leonard
21
1963
A note on the Laguerre polynomials. Zbl 0097.05602
Carlitz, Leonard
21
1960
Expansions of \(q\)-Bernoulli numbers. Zbl 0102.03201
Carlitz, Leonard
21
1958
Primitive roots in a finite field. Zbl 0048.27302
Carlitz, Leonard
21
1952
Fibonacci notes. IV: q-Fibonacci polynomials. Zbl 0298.10010
Carlitz, Leonard
20
1975
The Staudt-Clausen theorem. Zbl 0122.04702
Carlitz, Leonard
20
1961
Bernoulli and Euler numbers and orthogonal polynomials. Zbl 0085.28702
Carlitz, Leonard
20
1959
Permutations in a finite field. Zbl 0052.03704
Carlitz, Leonard
20
1953
Enumeration of sequences by rises and falls: a refinement of the Simon Newcomb problem. Zbl 0243.05008
Carlitz, Leonard
19
1972
A note on the Bessel polynomials. Zbl 0084.06603
Carlitz, Leonard
19
1957
The singular series for sums of squares of polynomials. Zbl 0032.00204
Carlitz, Leonard
19
1947
Enumeration of pairs of sequences by rises, falls and levels. Zbl 0348.05006
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
18
1976
Scalar polynomial functions on the \(n\times n\) matrices over a finite field. Zbl 0307.15004
Brawley, J. V.; Carlitz, Leonard; Levine, Jack
18
1975
Enumeration of up-down sequences. Zbl 0255.05003
Carlitz, Leonard
18
1973
Sequences and inversions. Zbl 0206.02302
Carlitz, Leonard
18
1970
Rectangular arrays and plane partitions. Zbl 0168.01502
Carlitz, Leonard
18
1967
Some theorems on permutation polynomials. Zbl 0217.33003
Carlitz, Leonard
18
1962
The arithmetic of polynomials in a Galois field. JFM 58.0150.01
Carlitz, L.
18
1932
Sequences, paths, ballot numbers. Zbl 0257.05001
Carlitz, Leonard
17
1972
The number of solutions of a special system of equations in a finite field. Zbl 0147.04003
Carlitz, Leonard; Wells, Charles
17
1966
Functions and polynomials \(\pmod{p^ n}\). Zbl 0134.25406
Carlitz, Leonard
17
1964
The divided central differences of zero. Zbl 0108.25106
Carlitz, Leonard; Riordan, John
17
1963
An analogue of the von Staudt-Clausen theorem. JFM 63.0879.03
Carlitz, L.
17
1937
Tangent numbers and operators. Zbl 0243.05009
Carlitz, Leonard; Scoville, Richard
16
1972
Some theorems on irreducible reciprocal polynomials over a finite field. Zbl 0155.09801
Carlitz, Leonard
16
1967
Extended Bernoulli and Eulerian numbers. Zbl 0127.29501
Carlitz, Leonard
16
1964
Multiplication formulas for products of Bernoulli and Euler polynomials. Zbl 0089.28002
Carlitz, Leonard
16
1961
A class of generating functions. Zbl 0357.33004
Carlitz, Leonard
15
1977
The number of terms in the cyclotomic polynomial \(F_{pq}(x)\). Zbl 0146.26704
Carlitz, Leonard
15
1966
Permutations in finite fields. Zbl 0146.06702
Carlitz, Leonard
15
1963
Representations by hermitian forms in a finite field. Zbl 0065.24805
Carlitz, Leonard; Hodges, John H.
15
1955
The reciprocity theorem for Dedekind sums. Zbl 0057.03703
Carlitz, Leonard
15
1953
Weighted quadratic partitions over a finite field. Zbl 0052.03805
Carlitz, Leonard
15
1953
Some congruences for the Bernoulli numbers. Zbl 0050.03902
Carlitz, Leonard
15
1953
Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010
Carlitz, Leonard
14
1974
On some polynomials of Tricomi. Zbl 0081.06601
Carlitz, Leonard
14
1958
Note on the numbers of Jordan and Ward. Zbl 0228.05005
Carlitz, Leonard
13
1971
Note on the Shapiro polynomials. Zbl 0191.35101
Brillhart, J.; Carlitz, Leonard
13
1970
A note on certain biorthogonal polynomials. Zbl 0157.11902
Carlitz, Leonard
13
1968
Generalized Dedekind sums. Zbl 0122.05104
Carlitz, Leonard
13
1964
Single variable Bell polynomials. Zbl 0109.02906
Carlitz, Leonard
13
1962
Polynomials over finite fields with minimal value sets. Zbl 0106.01105
Carlitz, Leonard; Lewis, D. J.; Mills, W. H.; Straus, E. G.
13
1961
Eulerian numbers and polynomials of higher order. Zbl 0104.29003
Carlitz, Leonard
13
1960
Some polynomials related to theta functions. Zbl 0079.09503
Carlitz, Leonard
13
1957
Enumeration of pairs of permutations. Zbl 0322.05008
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
12
1976
Permutations, sequences and special functions. Zbl 0301.05001
Carlitz, Leonard
12
1975
The distribution of irreducible polynomials in several indeterminates. II. Zbl 0135.01704
Carlitz, Leonard
12
1965
A note on generalized Dedekind sums. Zbl 0057.03802
Carlitz, Leonard
12
1954
Certain special equations in a finite field. Zbl 0055.26803
Carlitz, Leonard
12
1954
Irreducibles and the composed product for polynomials over a finite field. Zbl 0615.05007
Brawley, J. V.; Carlitz, Leonard
11
1987
Some expansions and convolution formulas related to MacMahon’s master theorem. Zbl 0359.05003
Carlitz, Leonard
11
1977
Up-down sequences. Zbl 0257.05008
Carlitz, Leonard; Scoville, Richard
11
1972
Some remarks on ballot-type sequences of positive integers. Zbl 0227.05007
Carlitz, Leonard; Roselle, D. P.; Scoville, R. A.
11
1971
A binomial identity arising from a sorting problem. Zbl 0128.01601
Carlitz, Leonard
11
1964
Some orthogonal polynomials related to elliptic functions. Zbl 0096.26903
Carlitz, Leonard
11
1960
A note on integral-valued polynomials. Zbl 0100.27102
Carlitz, Leonard
11
1959
Note on irregular primes. Zbl 0058.03702
Carlitz, Leonard
11
1954
An analogue of the von Staudt-Clausen theorem. Zbl 0017.19501
Carlitz, Leonard
11
1937
Some \(q\)-expansion formulas. Zbl 0267.33010
Carlitz, Leonard
10
1973
Enumeration of rises and falls by position. Zbl 0259.05008
Carlitz, Leonard; Scoville, Richard
10
1973
Chapter 19 of “The arithmetic of polynomials”. Zbl 0824.11039
Carlitz, Leonard
2
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
11
1987
An application of the reciprocity theorem for Dedekind sums. Zbl 0546.10010
Carlitz, Leonard
1
1984
Some inversion theorems. Zbl 0513.33010
Carlitz, Leonard
1
1982
Enumeration of permutations by sequences. II. Zbl 0499.05007
Carlitz, Leonard
5
1981
Some polynomials related to the Bernoulli and Euler polynomials. Zbl 0474.10012
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
47
1980
Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003
Carlitz, Leonard
23
1980
Some remarks on the Bell numbers. Zbl 0426.10013
Carlitz, Leonard
9
1980
Evaluation of some exponential sums over a finite field. Zbl 0456.12011
Carlitz, Leonard
8
1980
The number of permutations with a given number of sequences. Zbl 0451.05005
Carlitz, Leonard
5
1980
Explicit formulas for the Dumont-Foata polynomial. Zbl 0445.05009
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
1
1980
A reciprocity theorem and a three-term relation for generalized Dedekind- Rademacher sums. Zbl 0369.10007
Carlitz, Leonard
1
1980
Degenerate Stirling, Bernoulli and Eulerian numbers. Zbl 0404.05004
Carlitz, Leonard
96
1979
Explicit evaluation of certain exponential sums. Zbl 0396.12017
Carlitz, Leonard
31
1979
A combinatorial identity and some generalizations. Zbl 0427.05012
Carlitz, Leonard
1
1979
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 q-Eulerian numbers. Zbl 0386.05003
Carlitz, Leonard
6
1978
Generalized Stirling and related numbers. Zbl 0402.10011
Carlitz, Leonard
5
1978
A note on exponential sums. Zbl 0388.12007
Carlitz, Leonard
5
1978
A characterization of permutation polynomials over a finite field. Zbl 0406.12011
Carlitz, Leonard; Lutz, Jo Ann
4
1978
The number of derangements of a sequence with given specification. Zbl 0403.05008
Carlitz, Leonard
4
1978
A set of polynomials in three variables. Zbl 0381.33010
Carlitz, Leonard
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
3
1978
Some combinatorial identities of Bernstein. Zbl 0374.05005
Carlitz, Leonard
3
1978
Some remarks on the Eulerian function. Zbl 0439.10005
Carlitz, Leonard
2
1978
Up-down and down-up partitions. Zbl 0434.05008
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
Some polynomials related to Fibonacci and Eulerian numbers. Zbl 0402.10012
Carlitz, Leonard
1
1978
Specialized Möbius inversion. Zbl 0386.05002
Carlitz, Leonard
1
1978
Generalized Eulerian numbers and polynomials. Zbl 0379.10008
Carlitz, Leonard; Hoggatt, V. E. jun.
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
11
1977
Some numbers related to the Stirling numbers of the first and second kind. Zbl 0362.05010
Carlitz, Leonard
9
1977
Alternating sequences. Zbl 0361.05003
Carlitz, Leonard
3
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
Some permutation problems. Zbl 0351.05003
Carlitz, Leonard; Scoville, Richard
3
1977
Some theorems on generalized Dedekind-Rademacher sums. Zbl 0341.10011
Carlitz, Leonard
3
1977
Enumeration of compositions by rises, falls and levels. Zbl 0361.05004
Carlitz, Leonard
2
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
Note on some convolved power sums. Zbl 0363.10008
Carlitz, Leonard
1
1977
Some sums containing the greatest integer function. Zbl 0362.10004
Carlitz, Leonard
1
1977
Functions and correspondences in a finite field. Zbl 0353.12007
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
18
1976
Enumeration of pairs of permutations. Zbl 0322.05008
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
12
1976
Restricted compositions. Zbl 0338.05005
Carlitz, Leonard
5
1976
Set partitions. Zbl 0362.05024
Carlitz, Leonard
4
1976
A special class of triangular arrays. Zbl 0339.05011
Carlitz, Leonard
4
1976
Corrigendum to: Generalized Eulerian numbers: combinatorial applications. Zbl 0341.05006
Carlitz, Leonard; Scoville, Richard
2
1976
A theorem on differential operators. Zbl 0331.44007
Carlitz, Leonard
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. I. Zbl 0313.33008
Carlitz, Leonard; Srivastava, H. M.
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
The reciprocity theorem for Dedekind-Rademacher sums. Zbl 0282.10016
Carlitz, Leonard
1
1976
A combinatorial property of q-Eulerian numbers. Zbl 0296.05007
Carlitz, Leonard
58
1975
Fibonacci notes. IV: q-Fibonacci polynomials. Zbl 0298.10010
Carlitz, Leonard
20
1975
Scalar polynomial functions on the \(n\times n\) matrices over a finite field. Zbl 0307.15004
Brawley, J. V.; Carlitz, Leonard; Levine, Jack
18
1975
Permutations, sequences and special functions. Zbl 0301.05001
Carlitz, Leonard
12
1975
Generating functions for certain types of permutations. Zbl 0303.05007
Carlitz, Leonard; Scoville, Richard
7
1975
Some polynomials associated with Dedekind sums. Zbl 0317.10017
Carlitz, Leonard
5
1975
Generating functions for a special class of permutations. Zbl 0297.05011
Carlitz, Leonard
5
1975
Enumeration of up-down permutations by upper records. Zbl 0315.05004
Carlitz, Leonard; Scoville, Richard
4
1975
Branchings and partitions. Zbl 0279.05012
Carlitz, Leonard; Stanley, Richard P.
4
1975
A note on weighted sequences. Zbl 0319.05003
Carlitz, Leonard; Scoville, Richard
2
1975
Note on a binomial identity. Zbl 0311.05005
Carlitz, Leonard
2
1975
Some sums containing the greatest integer function. Zbl 0307.10003
Carlitz, Leonard
2
1975
Eulerian numbers and operators. Zbl 0302.05006
Carlitz, Leonard; Scoville, Richard
2
1975
A note on the left factorial function. Zbl 0389.05004
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
Some identities of Bruckman. Zbl 0303.05012
Carlitz, Leonard
1
1975
Some sums involving fractional parts. Zbl 0302.10007
Carlitz, Leonard
1
1975
Correspondences in a finite field. II. Zbl 0281.12017
Carlitz, Leonard
1
1975
Correspondence in a finite field. I. Zbl 0254.12009
Carlitz, Leonard
1
1975
Generalized Eulerian numbers: combinatorial applications. Zbl 0276.05006
Carlitz, Leonard; Scoville, Richard
28
1974
Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010
Carlitz, Leonard
14
1974
Enumeration of pairs of permutations and sequences. Zbl 0291.05007
Carlitz, Leonard; Scoville, Richard; Vaughan, Theresa
9
1974
Permutations and sequences. Zbl 0285.05011
Carlitz, Leonard
9
1974
An application of MacMahon’s Master theorem. Zbl 0282.05008
Carlitz, Leonard
7
1974
Stirling operators. Zbl 0292.05002
Carlitz, Leonard; Klamkin, M. S.
5
1974
Enumeration of permutations by rises, falls, rising maxima and falling maxima. Zbl 0298.05007
Carlitz, Leonard; Scoville, R.
4
1974
Inversions and generalized Dedekind sums. Zbl 0292.10007
Carlitz, Leonard
3
1974
A reciprocity and four-term relation for generalized Dedekind sums. Zbl 0291.10005
Carlitz, Leonard
3
1974
A note on Bernoulli numbers and polynomials. Zbl 0283.10003
Carlitz, Leonard
3
1974
Power sums of matrices over a finite field. Zbl 0282.15009
Brawley, J. V.; Carlitz, Leonard; Levine, J.
3
1974
A q-identity. Zbl 0296.33001
Carlitz, Leonard
2
1974
Remark on a combinatorial identity. Zbl 0287.05015
Carlitz, Leonard
1
1974
Enumeration of rectangular arrays by length and coincidences. Zbl 0279.05010
Carlitz, Leonard
1
1974
Enumeration of sequences of given specification according. Zbl 0278.05008
Carlitz, Leonard; Vaughan, Theresa
1
1974
Some inverse relations. Zbl 0276.05012
Carlitz, Leonard
32
1973
Permutations with prescribed pattern. Zbl 0229.05015
Carlitz, Leonard
27
1973
...and 432 more Documents
all top 5

Cited by 2,391 Authors

133 Kim, Taekyun
98 Carlitz, Leonard
90 Kim, Dae San
49 Srivastava, Hari Mohan
33 Rim, Seog-Hoon
28 Chu, Wenchang
22 Cao, Jian
21 Mansour, Toufik
21 Simsek, Yilmaz
20 Jang, Lee-Chae
19 Ismail, Mourad El-Houssieny
17 Dolgiĭ, Dmitriĭ Viktorovich
17 Zhang, Wenpeng
16 Cohen, Stephen D.
16 Kim, Minsoo
16 Ryoo, Cheon Seoung
16 Zeng, Jiang
15 Brawley, Joel Vincent jun.
14 Araci, Serkan
14 Hodges, John H.
14 Thakur, Dinesh S.
13 Foata, Dominique C.
13 Gessel, Ira Martin
13 Kwon, Hyuck In
12 Acikgoz, Mehmet
12 Helleseth, Tor
12 Kim, Young Hee Yun
12 Komatsu, Takao
12 Lee, Sang Hun
12 Mullen, Gary L.
12 Young, Paul Thomas
11 Charalambides, Charalambos A.
11 Rawlings, Don
10 Baoulina, Ioulia N.
10 Can, Mumun
10 He, Yuan
10 Howard, Fredric T.
10 Jeong, Sangtae
10 Stanley, Richard Peter
10 Stanton, Dennis W.
10 Wang, Qiang (Steven)
9 Bayad, Abdelmejid
9 Berndt, Bruce Carl
9 Cao, Xiwang
9 Cenkci, Mehmet
9 Chapman, Scott Thomas
9 Dilcher, Karl
9 Jackson, David M.
9 Khan, Subuhi
9 Porter, A. Duane
9 Remmel, Jeffrey B.
9 Sagan, Bruce Eli
9 Schmid, Wolfgang Alexander
9 Scoville, Richard A.
9 Topuzoǧlu, Alev
8 Andrews, George Eyre
8 Chatterjea, Santi Kumar
8 Goss, David
8 Kim, Daeyeoul
8 Kwon, JongKyum
8 Milne, Stephen C.
8 Moree, Pieter
7 Chang, Chieh-Yu
7 Chihara, Theodore Seio
7 Dağli, Muhammet Cihat
7 Denis, Laurent
7 Geroldinger, Alfred
7 Han, Guo-Niu
7 Hou, Xiang-Dong
7 Hsu, Leetsch Charles
7 Jang, Gwan-Woo
7 Kilic, Emrah
7 Kurt, Veli
7 Liu, Zhi-Guo
7 Luo, Qiuming
7 Merca, Mircea
7 Panario, Daniel
7 Shiue, Peter Jau-Shyong
7 Viennot, Xavier Gérard
7 Zinov’ev, Viktor Aleksandrovich
6 Agoh, Takashi
6 Al-Salam, Waleed A.
6 Allouche, Jean-Paul Simon
6 Ben Cheikh, Youssèf
6 Chen, William Yong-Chuan
6 Cochrane, Todd
6 Corcino, Roberto Bagsarsa
6 Ehrenborg, Richard
6 Endo, Akira
6 Gotti, Felix
6 Goulden, Ian P.
6 Hu, Su
6 Jang, Leechae
6 Kim, Byungmoon
6 Kochubeĭ, Anatoliĭ Naumovych
6 Krattenthaler, Christian Friedrich
6 Ma, Shi-Mei
6 Pan, Hao
6 Papanikolas, Matthew A.
6 Pellarin, Federico
...and 2,291 more Authors
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Cited in 337 Serials

206 Journal of Number Theory
150 Discrete Mathematics
113 Finite Fields and their Applications
102 Journal of Combinatorial Theory. Series A
89 Journal of Mathematical Analysis and Applications
73 Proceedings of the American Mathematical Society
61 Advances in Difference Equations
60 Advances in Applied Mathematics
50 The Ramanujan Journal
47 European Journal of Combinatorics
45 Linear Algebra and its Applications
41 Applied Mathematics and Computation
40 Journal of Computational and Applied Mathematics
39 Monatshefte für Mathematik
39 Transactions of the American Mathematical Society
36 International Journal of Number Theory
34 Advances in Mathematics
31 Journal of Algebra
30 Mathematics of Computation
30 Archiv der Mathematik
29 Journal of Inequalities and Applications
26 Journal of Approximation Theory
25 Abstract and Applied Analysis
24 Rocky Mountain Journal of Mathematics
23 Discrete Applied Mathematics
23 Journal of Pure and Applied Algebra
23 Rendiconti del Seminario Matematico della Università di Padova
23 Designs, Codes and Cryptography
22 Mathematische Zeitschrift
20 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
20 Journal de Théorie des Nombres de Bordeaux
20 Russian Journal of Mathematical Physics
19 Annali di Matematica Pura ed Applicata. Serie Quarta
16 Journal of Statistical Planning and Inference
15 Mathematische Annalen
14 Bulletin of the Australian Mathematical Society
14 Journal of Mathematical Physics
13 Linear and Multilinear Algebra
13 International Journal of Mathematics and Mathematical Sciences
13 Inventiones Mathematicae
13 Results in Mathematics
13 Studies in Applied Mathematics
12 Computers & Mathematics with Applications
12 Czechoslovak Mathematical Journal
12 Theoretical Computer Science
12 Applicable Algebra in Engineering, Communication and Computing
12 Annals of Combinatorics
12 Integers
12 Journal of Nonlinear Science and Applications
11 American Mathematical Monthly
11 Journal of Algebraic Combinatorics
11 Journal of Algebra and its Applications
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Communications in Algebra
10 Mathematical Notes
10 Compositio Mathematica
10 Functiones et Approximatio. Commentarii Mathematici
10 Mathematische Nachrichten
10 Mathematika
10 Aequationes Mathematicae
10 Turkish Journal of Mathematics
10 Integral Transforms and Special Functions
10 Discrete Dynamics in Nature and Society
10 Symmetry
9 Acta Mathematica Academiae Scientiarum Hungaricae
9 Duke Mathematical Journal
9 Manuscripta Mathematica
9 Journal of Difference Equations and Applications
9 Journal of Integer Sequences
9 Journal of Applied Mathematics & Informatics
8 Acta Arithmetica
8 Proceedings of the Japan Academy. Series A
8 Graphs and Combinatorics
8 The Electronic Journal of Combinatorics
8 Acta Mathematica Sinica. English Series
8 Bulletin of the American Mathematical Society
8 Cryptography and Communications
7 Annales de l’Institut Fourier
7 Mathematica Slovaca
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 International Journal of Mathematical Education in Science and Technology
6 Nagoya Mathematical Journal
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Acta Applicandae Mathematicae
6 Journal of Symbolic Computation
6 Indagationes Mathematicae. New Series
6 Journal of the Australian Mathematical Society
5 Indian Journal of Pure & Applied Mathematics
5 Israel Journal of Mathematics
5 Ukrainian Mathematical Journal
5 Bulletin de la Société Mathématique de France
5 Glasgow Mathematical Journal
5 Journal of Functional Analysis
5 Acta Mathematica Hungarica
5 Acta Mathematica Sinica. New Series
5 Journal of Discrete Mathematical Sciences & Cryptography
5 Annals of Mathematics. Second Series
5 Communications of the Korean Mathematical Society
...and 237 more Serials
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Cited in 55 Fields

1,585 Number theory (11-XX)
859 Combinatorics (05-XX)
440 Special functions (33-XX)
127 Group theory and generalizations (20-XX)
110 Commutative algebra (13-XX)
92 Linear and multilinear algebra; matrix theory (15-XX)
92 Information and communication theory, circuits (94-XX)
90 Field theory and polynomials (12-XX)
80 Harmonic analysis on Euclidean spaces (42-XX)
73 Probability theory and stochastic processes (60-XX)
70 Algebraic geometry (14-XX)
63 Computer science (68-XX)
50 Approximations and expansions (41-XX)
46 Numerical analysis (65-XX)
43 Functions of a complex variable (30-XX)
38 Ordinary differential equations (34-XX)
38 Difference and functional equations (39-XX)
32 Geometry (51-XX)
30 Real functions (26-XX)
30 Quantum theory (81-XX)
29 Associative rings and algebras (16-XX)
28 Order, lattices, ordered algebraic structures (06-XX)
26 Integral transforms, operational calculus (44-XX)
23 Dynamical systems and ergodic theory (37-XX)
17 Functional analysis (46-XX)
17 Convex and discrete geometry (52-XX)
16 Nonassociative rings and algebras (17-XX)
15 Operator theory (47-XX)
15 Statistics (62-XX)
14 History and biography (01-XX)
11 Measure and integration (28-XX)
9 Partial differential equations (35-XX)
8 Sequences, series, summability (40-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Abstract harmonic analysis (43-XX)
7 Manifolds and cell complexes (57-XX)
7 Operations research, mathematical programming (90-XX)
6 Mathematical logic and foundations (03-XX)
6 Topological groups, Lie groups (22-XX)
6 Biology and other natural sciences (92-XX)
5 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 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematics education (97-XX)
2 Integral equations (45-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
2 Mechanics of particles and systems (70-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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