## Cohen, Eckford

Compute Distance To:
 Author ID: cohen.eckford Published as: Cohen, Eckford; Cohen, E. External Links: MGP
 Documents Indexed: 100 Publications since 1947 Co-Authors: 3 Co-Authors with 6 Joint Publications 36 Co-Co-Authors

### Co-Authors

 94 single-authored 3 Carlitz, Leonard 2 Robinson, R. L. 1 Davis, K. Joseph
all top 5

### Serials

 25 Duke Mathematical Journal 8 American Mathematical Monthly 8 Proceedings of the American Mathematical Society 7 Acta Arithmetica 4 Transactions of the American Mathematical Society 4 Proceedings of the National Academy of Sciences of the United States of America 4 Scripta Mathematica 3 Acta Scientiarum Mathematicarum 3 Canadian Journal of Mathematics 3 Pacific Journal of Mathematics 3 Bulletin of the American Mathematical Society 2 Mathematics Magazine 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Collectanea Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Journal of the Tennessee Academy of Science 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 The Mathematics Student 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publicationes Mathematicae 1 Ricerche di Matematica 1 Elemente der Mathematik 1 L’Enseignement Mathématique. 2e Série 1 Bollettino della Unione Matematica Italiana. Series III 1 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 1 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées 1 Osaka Mathematical Journal 1 Proceedings of the Glasgow Mathematical Association 1 Rivista di Matematica della Universitá di Parma, II. Serie 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae

### Fields

 42 Number theory (11-XX)

### Citations contained in zbMATH Open

66 Publications have been cited 276 times in 159 Documents Cited by Year
Arithmetical functions associated with the unitary divisors of an integer. Zbl 0094.02601
Cohen, Eckford
1960
An extension of Ramanujan’s sum. Zbl 0034.02105
Cohen, Eckford
1949
A class of arithmetical functions. Zbl 0066.29203
Cohen, Eckford
1955
An extension of Ramanujan’s sum. III: Connections with totient functions. Zbl 0073.02902
Cohen, Eckford
1956
Some totient functions. Zbl 0073.02903
Cohen, Eckford
1956
An extension of Ramanujan’s sum. II. Additive properties. Zbl 0067.02205
Cohen, Eckford
1955
Arithmetical notes. VIII: An asymptotic formula of Renyi. Zbl 0117.27704
Cohen, E.
1962
Arithmetical functions of a greatest common divisor. I. Zbl 0096.02906
Cohen, Eckford
1960
Representations of even functions $$\pmod r$$. II: Cauchy products. Zbl 0101.03801
Cohen, Eckford
1959
On the average number of direct factors of a finite abelian group. Zbl 0113.25305
Cohen, E.
1960
Congruence representations in algebraic number fields. Zbl 0051.27702
Cohen, Eckford
1953
Arithmetical inversion formulas. Zbl 0099.26703
Cohen, Eckford
1960
Unitary products of arithmetical functions. Zbl 0100.03803
Cohen, E.
1961
Simultaneous pairs of linear and quadratic equations in a Galois field. Zbl 0077.26203
Cohen, Eckford
1957
Trigonometric sums in elementary number theory. Zbl 0084.27001
Cohen, Eckford
1959
An elementary method in the asymptotic theory of numbers. Zbl 0100.27502
Cohen, Eckford
1961
A property of Dedekind’s $$\psi$$-function. Zbl 0144.28201
Cohen, Eckford
1961
Sums of an even number of squares in $$GF[p^n,x]$$. Zbl 0030.10401
Cohen, Eckford
1947
Ring of arithmetic functions. Zbl 0046.26001
Cohen, Eckford
1952
Representations of even functions $$\pmod r$$. I: Arithmetical identities. Zbl 0082.03606
Cohen, Eckford
1958
Arithmetical functions of a greatest common divisor. III: Cesàro’s divisor problem. Zbl 0100.27501
Cohen, Eckford
1961
Some sets of integers related to the $$k$$-free integers. Zbl 0108.26601
Cohen, E.
1961
On the mean parity of arithmetical functions. Zbl 0186.35902
Cohen, Eckford
1969
Arithmetical functions of a greatest common divisor. II: An alternative approach. Zbl 0109.27402
Cohen, E.
1962
On the distribution of certain sequences of integers. Zbl 0113.26703
Cohen, Eckford
1963
Almost even functions of finite abelian groups. Zbl 0114.26503
Cohen, E.
1962
Some asymptotic formulas in the theory of numbers. Zbl 0121.04804
Cohen, E.
1964
On the distribution of the $$k$$-free integers in residue classes. Zbl 0128.04301
Cohen, E.; Robinson, R. L.
1963
Arithmetical notes. XIII: A sequel to note IV. Zbl 0147.30001
Cohen, Eckford
1963
The number of representations of an integer as a sum of two square-free numbers. Zbl 0151.03705
Cohen, E.
1965
Elementary estimates for certain types of integers. Zbl 0214.06402
Cohen, Eckford; Davis, K. Joseph
1970
Sums of an even number of squares in $$GF[p^n,x]$$. II. Zbl 0030.10402
Cohen, Eckford
1947
Sums of an odd number of squares in $$\text{GF}[p^n,x]$$. Zbl 0030.19601
Cohen, Eckford
1948
Rings of arithmetic functions. II. The number of solutions of quadratic congruences. Zbl 0055.27202
Cohen, Eckford
1954
A finite analogue of the Goldbach problem. Zbl 0055.27402
Cohen, Eckford
1954
Binary congruences in algebraic number fields. Zbl 0073.26602
Cohen, Eckford
1956
A class of residue systems $$\pmod r$$ and related arithmetical functions. I: A generalization of Möbius inversion. II: Higher dimensional analogues. Zbl 0099.26602
Cohen, Eckford
1959
Arithmetical functions associated with arbitrary sets of integers. Zbl 0099.26701
Cohen, Eckford
1959
Representations of even functions (mod $$r$$). III: Special topics. Zbl 0099.26702
Cohen, Eckford
1959
Arithmetical notes. V: A divisibility property of the divisor function. Zbl 0103.27403
Cohen, Eckford
1961
Unitary functions $$\pmod r$$. Zbl 0104.04102
Cohen, Eckford
1961
Arithmetical notes. II: An estimate Erdős and Szekeres. Zbl 0122.04901
Cohen, Eckford
1963
Arithmetical notes. IV: A set of integers related to the divisor function. Zbl 0147.29902
Cohen, Eckford
1962
Linear and quadratic equations in a Galois field with applications to geometry. Zbl 0158.03801
Cohen, E.
1965
Divisor functions of polynomials in a Galois field. Zbl 0030.10303
Carlitz, Leonard; Cohen, Eckford
1947
Sums of products of polynomials in a Galois field. Zbl 0043.26902
Cohen, Eckford
1951
Sur les fonctions arithmétiques rélatives aux corps algébriques. Zbl 0046.26002
Cohen, Eckford
1952
The number of solutions of certain cubic congruences. Zbl 0067.02204
Cohen, Eckford
1955
The finite Goldbach problem in algebraic number fields. Zbl 0072.03403
Cohen, Eckford
1956
Congruences in algebraic number fields involving sums of similar powers. Zbl 0073.02805
Cohen, Eckford
1956
Generalizations of the Euler $$\varphi$$-function. Zbl 0084.26903
Cohen, Eckford
1958
Arithmetical functions of finite abelian groups. Zbl 0093.24803
Cohen, Eckford
1961
Series representations of certain types of arithmetical functions. Zbl 0101.03704
Cohen, Eckford
1961
The characteristic divisors of a polynomial function of a matrix. Zbl 0103.00904
Cohen, Eckford
1960
Arithmetical notes. III: Certain equally distributed sets of integers. Zbl 0106.26003
Cohen, Eckford
1962
Arithmetical notes. IX: On the set of integers representable as a product of a prime and a square. Zbl 0107.03603
Cohen, E.
1962
Fourier expansions of arithmetical functions. Zbl 0107.03703
Cohen, Eckford
1961
A trigonometric sum. Zbl 0109.27403
Cohen, E.
1962
The average order of certain types of arithmetical functions: Generalized k-free numbers and totient points. Zbl 0116.27103
Cohen, E.
1960
On the inversion of even functions of finite Abelian groups (mod H). Zbl 0121.03204
Cohen, E.
1961
A class of arithmetical functions in several variables with applications to congruences. Zbl 0121.05001
Cohen, E.
1962
An elementary estimate for the k-free integers. Zbl 0122.29502
Cohen, E.
1963
Some analogues of certain arithmetical functions. Zbl 0124.02801
Cohen, Eckford
1963
Remark on a set of integers. Zbl 0127.27003
Cohen, E.
1964
The number of unitary divisors of an integer. Zbl 0127.27004
Cohen, E.
1960
Unitary functions (mod $$r$$). II. Zbl 0128.26803
Cohen, Eckford
1962
Elementary estimates for certain types of integers. Zbl 0214.06402
Cohen, Eckford; Davis, K. Joseph
1970
On the mean parity of arithmetical functions. Zbl 0186.35902
Cohen, Eckford
1969
The number of representations of an integer as a sum of two square-free numbers. Zbl 0151.03705
Cohen, E.
1965
Linear and quadratic equations in a Galois field with applications to geometry. Zbl 0158.03801
Cohen, E.
1965
Some asymptotic formulas in the theory of numbers. Zbl 0121.04804
Cohen, E.
1964
Remark on a set of integers. Zbl 0127.27003
Cohen, E.
1964
On the distribution of certain sequences of integers. Zbl 0113.26703
Cohen, Eckford
1963
On the distribution of the $$k$$-free integers in residue classes. Zbl 0128.04301
Cohen, E.; Robinson, R. L.
1963
Arithmetical notes. XIII: A sequel to note IV. Zbl 0147.30001
Cohen, Eckford
1963
Arithmetical notes. II: An estimate Erdős and Szekeres. Zbl 0122.04901
Cohen, Eckford
1963
An elementary estimate for the k-free integers. Zbl 0122.29502
Cohen, E.
1963
Some analogues of certain arithmetical functions. Zbl 0124.02801
Cohen, Eckford
1963
Arithmetical notes. VIII: An asymptotic formula of Renyi. Zbl 0117.27704
Cohen, E.
1962
Arithmetical functions of a greatest common divisor. II: An alternative approach. Zbl 0109.27402
Cohen, E.
1962
Almost even functions of finite abelian groups. Zbl 0114.26503
Cohen, E.
1962
Arithmetical notes. IV: A set of integers related to the divisor function. Zbl 0147.29902
Cohen, Eckford
1962
Arithmetical notes. III: Certain equally distributed sets of integers. Zbl 0106.26003
Cohen, Eckford
1962
Arithmetical notes. IX: On the set of integers representable as a product of a prime and a square. Zbl 0107.03603
Cohen, E.
1962
A trigonometric sum. Zbl 0109.27403
Cohen, E.
1962
A class of arithmetical functions in several variables with applications to congruences. Zbl 0121.05001
Cohen, E.
1962
Unitary functions (mod $$r$$). II. Zbl 0128.26803
Cohen, Eckford
1962
Unitary products of arithmetical functions. Zbl 0100.03803
Cohen, E.
1961
An elementary method in the asymptotic theory of numbers. Zbl 0100.27502
Cohen, Eckford
1961
A property of Dedekind’s $$\psi$$-function. Zbl 0144.28201
Cohen, Eckford
1961
Arithmetical functions of a greatest common divisor. III: Cesàro’s divisor problem. Zbl 0100.27501
Cohen, Eckford
1961
Some sets of integers related to the $$k$$-free integers. Zbl 0108.26601
Cohen, E.
1961
Arithmetical notes. V: A divisibility property of the divisor function. Zbl 0103.27403
Cohen, Eckford
1961
Unitary functions $$\pmod r$$. Zbl 0104.04102
Cohen, Eckford
1961
Arithmetical functions of finite abelian groups. Zbl 0093.24803
Cohen, Eckford
1961
Series representations of certain types of arithmetical functions. Zbl 0101.03704
Cohen, Eckford
1961
Fourier expansions of arithmetical functions. Zbl 0107.03703
Cohen, Eckford
1961
On the inversion of even functions of finite Abelian groups (mod H). Zbl 0121.03204
Cohen, E.
1961
Arithmetical functions associated with the unitary divisors of an integer. Zbl 0094.02601
Cohen, Eckford
1960
Arithmetical functions of a greatest common divisor. I. Zbl 0096.02906
Cohen, Eckford
1960
On the average number of direct factors of a finite abelian group. Zbl 0113.25305
Cohen, E.
1960
Arithmetical inversion formulas. Zbl 0099.26703
Cohen, Eckford
1960
The characteristic divisors of a polynomial function of a matrix. Zbl 0103.00904
Cohen, Eckford
1960
The average order of certain types of arithmetical functions: Generalized k-free numbers and totient points. Zbl 0116.27103
Cohen, E.
1960
The number of unitary divisors of an integer. Zbl 0127.27004
Cohen, E.
1960
Representations of even functions $$\pmod r$$. II: Cauchy products. Zbl 0101.03801
Cohen, Eckford
1959
Trigonometric sums in elementary number theory. Zbl 0084.27001
Cohen, Eckford
1959
A class of residue systems $$\pmod r$$ and related arithmetical functions. I: A generalization of Möbius inversion. II: Higher dimensional analogues. Zbl 0099.26602
Cohen, Eckford
1959
Arithmetical functions associated with arbitrary sets of integers. Zbl 0099.26701
Cohen, Eckford
1959
Representations of even functions (mod $$r$$). III: Special topics. Zbl 0099.26702
Cohen, Eckford
1959
Representations of even functions $$\pmod r$$. I: Arithmetical identities. Zbl 0082.03606
Cohen, Eckford
1958
Generalizations of the Euler $$\varphi$$-function. Zbl 0084.26903
Cohen, Eckford
1958
Simultaneous pairs of linear and quadratic equations in a Galois field. Zbl 0077.26203
Cohen, Eckford
1957
An extension of Ramanujan’s sum. III: Connections with totient functions. Zbl 0073.02902
Cohen, Eckford
1956
Some totient functions. Zbl 0073.02903
Cohen, Eckford
1956
Binary congruences in algebraic number fields. Zbl 0073.26602
Cohen, Eckford
1956
The finite Goldbach problem in algebraic number fields. Zbl 0072.03403
Cohen, Eckford
1956
Congruences in algebraic number fields involving sums of similar powers. Zbl 0073.02805
Cohen, Eckford
1956
A class of arithmetical functions. Zbl 0066.29203
Cohen, Eckford
1955
An extension of Ramanujan’s sum. II. Additive properties. Zbl 0067.02205
Cohen, Eckford
1955
The number of solutions of certain cubic congruences. Zbl 0067.02204
Cohen, Eckford
1955
Rings of arithmetic functions. II. The number of solutions of quadratic congruences. Zbl 0055.27202
Cohen, Eckford
1954
A finite analogue of the Goldbach problem. Zbl 0055.27402
Cohen, Eckford
1954
Congruence representations in algebraic number fields. Zbl 0051.27702
Cohen, Eckford
1953
Ring of arithmetic functions. Zbl 0046.26001
Cohen, Eckford
1952
Sur les fonctions arithmétiques rélatives aux corps algébriques. Zbl 0046.26002
Cohen, Eckford
1952
Sums of products of polynomials in a Galois field. Zbl 0043.26902
Cohen, Eckford
1951
An extension of Ramanujan’s sum. Zbl 0034.02105
Cohen, Eckford
1949
Sums of an odd number of squares in $$\text{GF}[p^n,x]$$. Zbl 0030.19601
Cohen, Eckford
1948
Sums of an even number of squares in $$GF[p^n,x]$$. Zbl 0030.10401
Cohen, Eckford
1947
Sums of an even number of squares in $$GF[p^n,x]$$. II. Zbl 0030.10402
Cohen, Eckford
1947
Divisor functions of polynomials in a Galois field. Zbl 0030.10303
Carlitz, Leonard; Cohen, Eckford
1947
all top 5

### Cited by 158 Authors

 16 Cohen, Eckford 11 Suryanarayana, D. 9 Tóth, László 6 Namboothiri, K. Vishnu 5 Bibak, Khodakhast 5 Haukkanen, Pentti 5 Hong, Shaofang 4 Kapron, Bruce M. 4 McCarthy, Paul J. 4 Srinivasan, Venkatesh 3 Burnett, Joseph Vade 3 Hu, Shuangnian 3 Ivić, Aleksandar 3 Kiuchi, Isao 3 Laohakosol, Vichian 3 Menzer, Hartmut 3 Ruengsinsub, Pattira 3 Sitaramaiah, Varanasi 3 Subbarao, Matukumalli Venkata 2 Baoulina, Ioulia N. 2 Chandran, Arya 2 Hilberdink, Titus W. 2 Mavecha, Sukrawan 2 Maxsein, Thomas 2 Moree, Pieter 2 Nageswara Rao, K. 2 Osterman, Otto Vaughn 2 Porubsky, Stefan 2 Saad Eddin, Sumaia 2 Schwarz, Wolfgang Karl 2 Sitaramachandrarao, Rudrabhatla 2 Sun, Qi 2 Thomas, Neha Elizabeth 2 Vietoris, Leopold 2 Yangklan, Pussadee 1 Bang, Luke 1 Bhowmik, Gautami 1 Bordellès, Olivier 1 Bouzeffour, Fethi 1 Bredikhin, Boris Maksimovich 1 Brinitzer, Evelyn 1 Bu, Zhengjin 1 Calderón, Catalina 1 Cao, Wei 1 Car, Mireille 1 Carlitz, Leonard 1 Castro, Francis Noel 1 Chidambaraswamy, J. 1 Cross, James T. 1 de Mathan, Bernard 1 Defant, Colin 1 Dehnert, Fabian 1 Descouens, Francois 1 Duane, P. A. 1 Duttlinger, Johann 1 Erdős, Pál 1 Esfandiari, Mohammadreza 1 Eugeni, Franco 1 Fernández Gallardo, Pablo 1 Fernández Pérez, José Luis 1 Figueroa, Raúl F. 1 Florez, Jorge 1 Fowler, Christopher F. 1 Fox, Matthew S. 1 Gallardo, Luis Henri 1 Garayev, Mübariz Tapdıgoğlu 1 Garcia, Stephan Ramon 1 Grah, Jacques 1 Grayson, Sam 1 Guan, Puhua 1 Hodges, John H. 1 Hoffstein, Jeffrey 1 Huang, Sen-Shan 1 Ilmonen, Pauliina 1 Indlekofer, Karl-Heinz 1 Jedidi, Wissem 1 Ji, Chungang 1 Kamaletdinov, B. Zh. 1 Karaali, Gizem 1 Karabulut, Cihan 1 Karamchedu, Chaitanya D. 1 Kim, Daeyeoul 1 Knopfmacher, John 1 Krätzel, Ekkehard 1 Krishnaiah, P. V. 1 Kryžius, Zigmantas 1 Kumar Das, Ashish 1 Kundt, Wolfgang 1 Kunth, Peter 1 Laporta, Maurizio B. S. 1 Le, Tuan Anh 1 Li, Mao 1 Li, Yan 1 Liu, Hongquan 1 Liu, Kui 1 Loewy, Raphael 1 Lu, Meijie 1 Lucht, Lutz Gerhard 1 Maze, Gérard 1 Mehrdad, Behzad ...and 58 more Authors
all top 5

### Cited in 62 Serials

 17 Monatshefte für Mathematik 14 Journal of Number Theory 13 The Ramanujan Journal 8 International Journal of Number Theory 7 Proceedings of the American Mathematical Society 6 Archiv der Mathematik 4 Discrete Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Transactions of the American Mathematical Society 4 Aequationes Mathematicae 4 Integers 4 Bulletin of the American Mathematical Society 3 Lithuanian Mathematical Journal 3 Czechoslovak Mathematical Journal 3 Mathematische Zeitschrift 3 Acta Mathematica Hungarica 3 Finite Fields and their Applications 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Indian Journal of Pure & Applied Mathematics 2 Linear and Multilinear Algebra 2 Periodica Mathematica Hungarica 2 International Journal of Mathematics and Mathematical Sciences 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of the Australian Mathematical Society 1 Archive for History of Exact Sciences 1 Bulletin of the Australian Mathematical Society 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 European Journal of Combinatorics 1 Journal of Information & Optimization Sciences 1 Bulletin of the Iranian Mathematical Society 1 Mathematica Bohemica 1 International Journal of Foundations of Computer Science 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Thai Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Foundations of Physics 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Arabian Journal of Mathematics 1 Journal of Mathematics 1 AIMS Mathematics
all top 5

### Cited in 18 Fields

 134 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Group theory and generalizations (20-XX) 6 Combinatorics (05-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)