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Zuckerman, Herbert S.

Author ID: zuckerman.herbert-s Recent zbMATH articles by "Zuckerman, Herbert S."
Published as: Zuckerman, H. S.; Zuckerman, Herbert S.
Documents Indexed: 50 Publications since 1935, including 7 Books
Co-Authors: 8 Co-Authors with 38 Joint Publications
161 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 830 times in 807 Documents Cited by Year
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
257
1991
An introduction to the theory of numbers. 4th ed. Zbl 0431.10001
Niven, Ivan; Zuckerman, Herbert S.
79
1980
The \(l_ 1\)-algebra of a commutative semigroup. Zbl 0072.12701
Hewitt, Edwin; Zuckerman, Herbert S.
68
1956
An introduction to the theory of numbers. 3rd ed. Zbl 0237.10001
Niven, Ivan; Zuckerman, Herbert S.
58
1972
The lattice point covering theorem for rectangles. Zbl 0186.36601
Niven, I.; Zuckerman, H. S.
57
1969
An introduction to the theory of numbers. (Einführung in die Zahlentheorie I (Übers. aus dem Engl. von Rudolf J. Taschner).) Zbl 0723.11001
Niven, Ivan; Zuckerman, Herbert S.
38
1991
An introduction to the theory of numbers. Zbl 0098.03602
Niven, Ivan; Zuckerman, Herbert S.
36
1960
On the Fourier coefficients of certain modular forms of positive dimension. Zbl 0019.02201
Rademacher, Hans; Zuckerman, Herbert S.
27
1938
Singular measures with absolutely continuous convolution squares. Zbl 0148.38101
Hewitt, E.; Zuckerman, H. S.
27
1967
Finite dimensional convolution algebras. Zbl 0064.26902
Hewitt, Edwin; Zuckerman, Herbert S.
24
1955
An introduction to the theory of numbers. 2nd ed. Zbl 0154.04002
Niven, Ivan; Zuckerman, Herbert S.
22
1966
On the definition of normal numbers. Zbl 0042.26902
Niven, Ivan; Zuckerman, H. S.
21
1951
A characterization of the subgroups of the additive rationals. Zbl 0043.02904
Beaumont, Ross A.; Zuckerman, H. S.
21
1951
A group-theoretic method in approximation theory. Zbl 0039.02301
Hewitt, Edwin; Zuckerman, H. S.
11
1950
Some theorems on lacunary Fourier series, with extensions to compact groups. Zbl 0141.12601
Hewitt, E.; Zuckerman, H. S.
11
1959
Structure theory for a class of convolution algebras. Zbl 0085.10002
Hewitt, Edwin; Zuckerman, Herbert S.
10
1957
Ternary operations and semigroups. Zbl 0194.02401
Hewitt, E.; Zuckerman, H. S.
9
1969
The irreducible representations of a semigroup related to the symmetric group. Zbl 0077.02704
Hewitt, Edwin; Zuckerman, Herbert S.
8
1957
Arithmetic and limit theorems for a class of random variables. Zbl 0066.11202
Hewitt, Edwin; Zuckerman, Herbert S.
7
1955
Lattice points and polygonal area. Zbl 0178.04705
Niven, I.; Zuckerman, H. S.
5
1967
On the coefficients of certain modular forms belonging to subgroups of the modular group. Zbl 0020.22004
Zuckerman, Herbert S.
5
1939
Identities analogous to Ramanujan’s identities involving the parition function. Zbl 0020.29302
Zuckerman, Herbert S.
5
1939
Einführung in die Zahlentheorie. I, II. Aus dem Amerikanischen übersetzt von Rudolf J. Taschner. Zbl 0319.10001
Niven, Ivan; Zuckerman, Herbert S.
4
1976
The multiplicative semigroup of integers modulo \(m\). Zbl 0115.02402
Hewitt, E.; Zuckerman, H. S.
4
1960
Integration in locally compact spaces. II. Zbl 0044.12002
Hewitt, Edwin; Zuckerman, H. S.
3
1951
New results for the number \(g(n)\) in Waring’s problem. Zbl 0014.25008
Zuckerman, H. S.
2
1936
On the functional equation \(F(mn) F((m,n)) = F(m)F(n) f((m,n))\). Zbl 0125.06901
Apostol, T. M.; Zuckerman, H. S.
2
1964
Remarks on the functional equation \(f(x+y) = f(x)+f(y)\). Zbl 0175.15403
Hewitt, E.; Zuckerman, H. S.
2
1969
Certain functions with singularities on the unit circle. Zbl 0060.21406
Zuckerman, H. S.
1
1943
An inequality due to H. Hornich. Zbl 0063.00416
Birnbaum, Z. W.; Zuckerman, Herbert S.
1
1944
Harmonic analysis for certain semigroups. Zbl 0071.11301
Hewitt, Edwin; Zuckerman, Herbert S.
1
1956
Lattice point coverings by plane figures. Zbl 0153.07201
Niven, I.; Zuckerman, H. S.
1
1967
A new proof of two of Ramanujan’s identities. Zbl 0022.00801
Rademacher, Hans; Zuckerman, Herbert S.
1
1939
On the expansions of certain modular forms of positive dimension. Zbl 0022.33204
Zuckerman, Herbert S.
1
1940
A graphical determination of sample size for Wilk’s tolerance limits. Zbl 0041.26101
Birnbaum, Z. W.; Zuckerman, H. S.
1
1949
An introduction to the theory of numbers. 5th ed. Zbl 0742.11001
Niven, Ivan; Zuckerman, Herbert S.; Montgomery, Hugh L.
257
1991
An introduction to the theory of numbers. (Einführung in die Zahlentheorie I (Übers. aus dem Engl. von Rudolf J. Taschner).) Zbl 0723.11001
Niven, Ivan; Zuckerman, Herbert S.
38
1991
An introduction to the theory of numbers. 4th ed. Zbl 0431.10001
Niven, Ivan; Zuckerman, Herbert S.
79
1980
Einführung in die Zahlentheorie. I, II. Aus dem Amerikanischen übersetzt von Rudolf J. Taschner. Zbl 0319.10001
Niven, Ivan; Zuckerman, Herbert S.
4
1976
An introduction to the theory of numbers. 3rd ed. Zbl 0237.10001
Niven, Ivan; Zuckerman, Herbert S.
58
1972
The lattice point covering theorem for rectangles. Zbl 0186.36601
Niven, I.; Zuckerman, H. S.
57
1969
Ternary operations and semigroups. Zbl 0194.02401
Hewitt, E.; Zuckerman, H. S.
9
1969
Remarks on the functional equation \(f(x+y) = f(x)+f(y)\). Zbl 0175.15403
Hewitt, E.; Zuckerman, H. S.
2
1969
Singular measures with absolutely continuous convolution squares. Zbl 0148.38101
Hewitt, E.; Zuckerman, H. S.
27
1967
Lattice points and polygonal area. Zbl 0178.04705
Niven, I.; Zuckerman, H. S.
5
1967
Lattice point coverings by plane figures. Zbl 0153.07201
Niven, I.; Zuckerman, H. S.
1
1967
An introduction to the theory of numbers. 2nd ed. Zbl 0154.04002
Niven, Ivan; Zuckerman, Herbert S.
22
1966
On the functional equation \(F(mn) F((m,n)) = F(m)F(n) f((m,n))\). Zbl 0125.06901
Apostol, T. M.; Zuckerman, H. S.
2
1964
An introduction to the theory of numbers. Zbl 0098.03602
Niven, Ivan; Zuckerman, Herbert S.
36
1960
The multiplicative semigroup of integers modulo \(m\). Zbl 0115.02402
Hewitt, E.; Zuckerman, H. S.
4
1960
Some theorems on lacunary Fourier series, with extensions to compact groups. Zbl 0141.12601
Hewitt, E.; Zuckerman, H. S.
11
1959
Structure theory for a class of convolution algebras. Zbl 0085.10002
Hewitt, Edwin; Zuckerman, Herbert S.
10
1957
The irreducible representations of a semigroup related to the symmetric group. Zbl 0077.02704
Hewitt, Edwin; Zuckerman, Herbert S.
8
1957
The \(l_ 1\)-algebra of a commutative semigroup. Zbl 0072.12701
Hewitt, Edwin; Zuckerman, Herbert S.
68
1956
Harmonic analysis for certain semigroups. Zbl 0071.11301
Hewitt, Edwin; Zuckerman, Herbert S.
1
1956
Finite dimensional convolution algebras. Zbl 0064.26902
Hewitt, Edwin; Zuckerman, Herbert S.
24
1955
Arithmetic and limit theorems for a class of random variables. Zbl 0066.11202
Hewitt, Edwin; Zuckerman, Herbert S.
7
1955
On the definition of normal numbers. Zbl 0042.26902
Niven, Ivan; Zuckerman, H. S.
21
1951
A characterization of the subgroups of the additive rationals. Zbl 0043.02904
Beaumont, Ross A.; Zuckerman, H. S.
21
1951
Integration in locally compact spaces. II. Zbl 0044.12002
Hewitt, Edwin; Zuckerman, H. S.
3
1951
A group-theoretic method in approximation theory. Zbl 0039.02301
Hewitt, Edwin; Zuckerman, H. S.
11
1950
A graphical determination of sample size for Wilk’s tolerance limits. Zbl 0041.26101
Birnbaum, Z. W.; Zuckerman, H. S.
1
1949
An inequality due to H. Hornich. Zbl 0063.00416
Birnbaum, Z. W.; Zuckerman, Herbert S.
1
1944
Certain functions with singularities on the unit circle. Zbl 0060.21406
Zuckerman, H. S.
1
1943
On the expansions of certain modular forms of positive dimension. Zbl 0022.33204
Zuckerman, Herbert S.
1
1940
On the coefficients of certain modular forms belonging to subgroups of the modular group. Zbl 0020.22004
Zuckerman, Herbert S.
5
1939
Identities analogous to Ramanujan’s identities involving the parition function. Zbl 0020.29302
Zuckerman, Herbert S.
5
1939
A new proof of two of Ramanujan’s identities. Zbl 0022.00801
Rademacher, Hans; Zuckerman, Herbert S.
1
1939
On the Fourier coefficients of certain modular forms of positive dimension. Zbl 0019.02201
Rademacher, Hans; Zuckerman, Herbert S.
27
1938
New results for the number \(g(n)\) in Waring’s problem. Zbl 0014.25008
Zuckerman, H. S.
2
1936
all top 5

Cited by 1,124 Authors

11 Demirci, Kamil
9 Praeger, Cheryl Elisabeth
8 Bhardwaj, Vinod Kumar
7 Doğru, Ogün
7 Niemeyer, Alice C.
7 Zhuchok, Anatolii V.
6 Dhawan, Shweta
6 Dilcher, Karl
6 Llibre, Jaume
6 Martin, Greg
6 Schwarz, Štefan
5 Berndt, Bruce Carl
5 Bringmann, Kathrin
5 Dabhi, Prakash A.
5 Hewitt, Edwin
5 Hong, Shaofang
5 Stević, Stevo
5 Zaharescu, Alexandru
4 Adelberg, Arnold M.
4 Dirik, Fadime
4 Dobbs, David Earl
4 Duman, Oktay
4 Fan, Ai Hua
4 Graham, Colin C.
4 Hajdu, Lajos
4 Ligh, Steve
4 Pehlivan, Serpil
4 Petrich, Mario
4 Rosenberg, Arnold Leonard
4 Tekcan, Ahmet
4 Yıldız, Sevda
4 Zhang, Xiongying
3 Altin, Yavuz
3 Baker, John Walter
3 Beslin, Scott J.
3 Chacron, Maurice J.
3 Chang, Shu-Chu
3 Cosgrave, John B.
3 Dales, Harold Garth
3 Di Crescenzo, Giovanni
3 Erdős, Pál
3 Galindo Pastor, Carlos
3 İlkhan, Merve
3 Itzá-Ortiz, Benjamin A.
3 Keskin, Refik
3 Kim, Jinbai
3 Lau, Anthony To-Ming
3 Li, Yuanlin
3 Maehara, Hiroshi
3 Mance, Bill
3 Mayhew, Gregory L.
3 Monserrat, Francisco
3 Móricz, Ferenc
3 Orhan, Sevda
3 Özkoç, Arzu
3 Rajah, Andrew
3 Ren, Meiying
3 Renukadevi, Vellapandi
3 Ritter, Gunter
3 Ross, Kenneth A.
3 Şençımen, Celaleddin
3 Strauss, Dona
3 Thomson, Alison
3 Trigos-Arrieta, F. Javier
3 Vincenzi, Giovanni
3 Zhao, Jianrong
3 Zhou, Sanming
3 Zhu, Xuding
2 Airey, Dylan
2 Aizley, Paul
2 Albayrak, Hüseyin
2 Austin, C. W.
2 Baader, Franz
2 Beals, Robert M.
2 Bernardi, Claudio
2 Binner, Damanvir Singh
2 Biswas, Bablu
2 Booker, Andrew R.
2 Bourque, Keith
2 Brown, Gavin
2 Brown, Ron
2 Chamberland, Marc
2 Chaney, Robin W.
2 Chiu, Kuanghui
2 Çolak, Rifat
2 Comfort, William Wistar
2 Contopoulos, George
2 de Azevedo Pribitkin, Wladimir
2 De Santis, Alfredo
2 Dedania, Haresh V.
2 Della Corte, Alessandro
2 Dikranjan, Dikran N.
2 Dousse, Jehanne
2 Dyer, Ethan
2 Edely, Osama H. H.
2 Edwards, Robert Edmund
2 Feigenbaum, Joan
2 Ferraz, Raul Antonio
2 Figa-Talamanca, Alessandro
2 Fridy, John A.
...and 1,024 more Authors
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Cited in 252 Serials

33 Proceedings of the American Mathematical Society
30 Transactions of the American Mathematical Society
28 Journal of Number Theory
22 Discrete Mathematics
20 Semigroup Forum
16 Journal of Algebra
15 Journal of Mathematical Analysis and Applications
14 Journal of Combinatorial Theory. Series A
13 The Ramanujan Journal
12 Czechoslovak Mathematical Journal
12 Theoretical Computer Science
12 Linear Algebra and its Applications
11 Communications in Algebra
11 Mathematics of Computation
11 Mathematische Annalen
10 Journal of High Energy Physics
9 International Journal of Mathematical Education in Science and Technology
9 Journal of Algebra and its Applications
9 International Journal of Number Theory
8 Israel Journal of Mathematics
8 Journal of Functional Analysis
8 Topology and its Applications
7 Bulletin of the Australian Mathematical Society
7 Computers & Mathematics with Applications
7 Advances in Mathematics
7 Mathematica Slovaca
7 Physica D
7 Journal of Inequalities and Applications
6 American Mathematical Monthly
6 Rocky Mountain Journal of Mathematics
6 Algebra Universalis
6 Acta Mathematica Hungarica
6 Mathematical and Computer Modelling
6 Journal of the Australian Mathematical Society
5 Discrete Applied Mathematics
5 Linear and Multilinear Algebra
5 Periodica Mathematica Hungarica
5 The Mathematical Intelligencer
5 Archiv der Mathematik
5 International Journal of Mathematics and Mathematical Sciences
5 Journal of Computer and System Sciences
5 Journal of Pure and Applied Algebra
5 Manuscripta Mathematica
5 Results in Mathematics
5 European Journal of Combinatorics
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Integers
5 JP Journal of Algebra, Number Theory and Applications
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Applied Mathematics and Computation
4 Functiones et Approximatio. Commentarii Mathematici
4 Information Sciences
4 Monatshefte für Mathematik
4 Expositiones Mathematicae
4 Korean Journal of Mathematics
3 Analysis Mathematica
3 Artificial Intelligence
3 Communications in Mathematical Physics
3 Indian Journal of Pure & Applied Mathematics
3 Information Processing Letters
3 Mathematics Magazine
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Annales de l’Institut Fourier
3 Glasgow Mathematical Journal
3 Mathematische Zeitschrift
3 Mathematika
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Communications in Statistics. Theory and Methods
3 Algebra Colloquium
3 The Electronic Journal of Combinatorics
3 Journal of Difference Equations and Applications
3 Journal of Integer Sequences
3 Acta Mathematica Sinica. English Series
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Mediterranean Journal of Mathematics
3 Advances in Difference Equations
3 Asian-European Journal of Mathematics
2 Nonlinearity
2 Arkiv för Matematik
2 Chaos, Solitons and Fractals
2 Annals of the Institute of Statistical Mathematics
2 Colloquium Mathematicum
2 Dissertationes Mathematicae
2 Inventiones Mathematicae
2 Journal of Combinatorial Theory. Series B
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Nachrichten
2 Publications de l’Institut Mathématique. Nouvelle Série
2 Rendiconti del Seminario Matematico della Università di Padova
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Advances in Applied Mathematics
2 Ergodic Theory and Dynamical Systems
2 Mathematical Social Sciences
2 Journal of Symbolic Computation
2 Information and Computation
2 Applied Mathematics Letters
2 SIAM Journal on Discrete Mathematics
2 International Journal of Algebra and Computation
...and 152 more Serials
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Cited in 57 Fields

298 Number theory (11-XX)
115 Group theory and generalizations (20-XX)
78 Combinatorics (05-XX)
66 Sequences, series, summability (40-XX)
58 Computer science (68-XX)
54 Functional analysis (46-XX)
53 Abstract harmonic analysis (43-XX)
38 Dynamical systems and ergodic theory (37-XX)
35 Approximations and expansions (41-XX)
32 Associative rings and algebras (16-XX)
30 General topology (54-XX)
26 Information and communication theory, circuits (94-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
22 Topological groups, Lie groups (22-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
19 Mathematical logic and foundations (03-XX)
19 General algebraic systems (08-XX)
19 Measure and integration (28-XX)
19 Operator theory (47-XX)
17 Real functions (26-XX)
17 Probability theory and stochastic processes (60-XX)
15 Convex and discrete geometry (52-XX)
15 Quantum theory (81-XX)
14 Commutative algebra (13-XX)
13 Algebraic geometry (14-XX)
13 Numerical analysis (65-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Functions of a complex variable (30-XX)
11 Manifolds and cell complexes (57-XX)
9 Nonassociative rings and algebras (17-XX)
9 Statistics (62-XX)
9 Operations research, mathematical programming (90-XX)
8 Partial differential equations (35-XX)
8 Difference and functional equations (39-XX)
7 Mathematics education (97-XX)
6 Category theory; homological algebra (18-XX)
6 Special functions (33-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Relativity and gravitational theory (83-XX)
5 Field theory and polynomials (12-XX)
5 Geometry (51-XX)
5 Algebraic topology (55-XX)
4 General and overarching topics; collections (00-XX)
4 Ordinary differential equations (34-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Integral transforms, operational calculus (44-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 \(K\)-theory (19-XX)
1 Differential geometry (53-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)

Citations by Year