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Graham, Sidney W.

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Author ID: graham.sidney-w Recent zbMATH articles by "Graham, Sidney W."
Published as: Graham, S. W.; Graham, Sidney W.; Graham, S.
Homepage: http://people.cst.cmich.edu/graha1sw/
External Links: MGP · Wikidata · ResearchGate · dblp
Documents Indexed: 32 Publications since 1978, including 2 Books
Reviewing Activity: 122 Reviews

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 307 times in 285 Documents Cited by Year
Van der Corput’s method for exponential sums. Zbl 0713.11001
Graham, S. W.; Kolesnik, G.
149
1991
A class of extremal functions for the Fourier transform. Zbl 0483.42007
Graham, S. W.; Vaaler, Jeffrey D.
32
1981
Small gaps between products of two primes. Zbl 1213.11171
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
16
2009
Explicit estimates for the Riemann zeta function. Zbl 1062.11056
Cheng, Yuanyou F.; Graham, Sidney W.
10
2004
An asymptotic estimate related to Selberg’s sieve. Zbl 0382.10031
Graham, S.
9
1978
Large sets of 3-designs from \(\text{PSL}(2,q)\), with block sizes 4 and 5. Zbl 0886.05018
Cusack, C. A.; Graham, S. W.; Kreher, D. L.
9
1995
On Linnik’s constant. Zbl 0379.10028
Graham, S. W.
8
1981
Small gaps between primes or almost primes. Zbl 1228.11148
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
7
2009
On the solutions to \(\varphi(n)=\varphi(n+k)\). Zbl 0937.11037
Graham, S. W.; Holt, Jeffrey J.; Pomerance, Carl
7
1999
On the difference between consecutive squarefree integers. Zbl 0656.10041
Graham, S. W.; Kolesnik, G.
6
1988
Lower bounds for least quadratic non-residues. Zbl 0719.11006
Graham, S. W.; Ringrose, C. J.
6
1990
On RSA moduli with almost half of the bits prescribed. Zbl 1172.11046
Graham, Sidney W.; Shparlinski, Igor E.
5
2008
Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers. Zbl 1241.11114
Goldston, Daniel A.; Graham, Sidney W.; Pintz, Janos; Yıldırım, Cem Y.
5
2011
The distribution of squarefree numbers. Zbl 0422.10037
Graham, S. W.
5
1981
On the number of divisors of \(n!\). Zbl 0858.11051
Erdős, Paul; Graham, S. W.; Ivić, Aleksandar; Pomerance, Carl
5
1996
The distribution of r-free numbers. Zbl 0676.10029
Graham, S. W.; Pintz, J.
5
1989
Application of a character sum estimate to a 2-class number density. Zbl 0551.12002
Gerth, Frank III; Graham, S. W.
4
1984
Extremal functions for the Fourier transform and the large sieve. Zbl 0552.10028
Graham, S. W.; Vaaler, Jeffrey D.
4
1984
An algorithm for computing optimal exponent pairs. Zbl 0561.10018
Graham, S. W.
4
1986
The greatest prime factor of the integers in an interval. Zbl 0442.10028
Graham, S. W.
3
1981
One and two dimensional exponential sums. Zbl 0626.10034
Graham, S. W.; Kolesnik, G.
2
1987
Unitary perfect numbers with squarefree odd part. Zbl 0678.10004
Graham, S. W.
2
1989
Starting with gaps between \(k\)-free numbers. Zbl 1333.11091
Filaseta, M.; Graham, S.; Trifonov, O.
1
2015
An estimate for the number of reducible Bessel polynomials of bounded degrees. Zbl 0818.11014
Filaseta, M.; Graham, S. W.
1
1993
\(B_ h\) sequences. Zbl 0859.11009
Graham, S. W.
1
1996
Corrigendum: Small gaps between products of two primes. Zbl 1295.11101
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
1
2013
Starting with gaps between \(k\)-free numbers. Zbl 1333.11091
Filaseta, M.; Graham, S.; Trifonov, O.
1
2015
Corrigendum: Small gaps between products of two primes. Zbl 1295.11101
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
1
2013
Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers. Zbl 1241.11114
Goldston, Daniel A.; Graham, Sidney W.; Pintz, Janos; Yıldırım, Cem Y.
5
2011
Small gaps between products of two primes. Zbl 1213.11171
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
16
2009
Small gaps between primes or almost primes. Zbl 1228.11148
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
7
2009
On RSA moduli with almost half of the bits prescribed. Zbl 1172.11046
Graham, Sidney W.; Shparlinski, Igor E.
5
2008
Explicit estimates for the Riemann zeta function. Zbl 1062.11056
Cheng, Yuanyou F.; Graham, Sidney W.
10
2004
On the solutions to \(\varphi(n)=\varphi(n+k)\). Zbl 0937.11037
Graham, S. W.; Holt, Jeffrey J.; Pomerance, Carl
7
1999
On the number of divisors of \(n!\). Zbl 0858.11051
Erdős, Paul; Graham, S. W.; Ivić, Aleksandar; Pomerance, Carl
5
1996
\(B_ h\) sequences. Zbl 0859.11009
Graham, S. W.
1
1996
Large sets of 3-designs from \(\text{PSL}(2,q)\), with block sizes 4 and 5. Zbl 0886.05018
Cusack, C. A.; Graham, S. W.; Kreher, D. L.
9
1995
An estimate for the number of reducible Bessel polynomials of bounded degrees. Zbl 0818.11014
Filaseta, M.; Graham, S. W.
1
1993
Van der Corput’s method for exponential sums. Zbl 0713.11001
Graham, S. W.; Kolesnik, G.
149
1991
Lower bounds for least quadratic non-residues. Zbl 0719.11006
Graham, S. W.; Ringrose, C. J.
6
1990
The distribution of r-free numbers. Zbl 0676.10029
Graham, S. W.; Pintz, J.
5
1989
Unitary perfect numbers with squarefree odd part. Zbl 0678.10004
Graham, S. W.
2
1989
On the difference between consecutive squarefree integers. Zbl 0656.10041
Graham, S. W.; Kolesnik, G.
6
1988
One and two dimensional exponential sums. Zbl 0626.10034
Graham, S. W.; Kolesnik, G.
2
1987
An algorithm for computing optimal exponent pairs. Zbl 0561.10018
Graham, S. W.
4
1986
Application of a character sum estimate to a 2-class number density. Zbl 0551.12002
Gerth, Frank III; Graham, S. W.
4
1984
Extremal functions for the Fourier transform and the large sieve. Zbl 0552.10028
Graham, S. W.; Vaaler, Jeffrey D.
4
1984
A class of extremal functions for the Fourier transform. Zbl 0483.42007
Graham, S. W.; Vaaler, Jeffrey D.
32
1981
On Linnik’s constant. Zbl 0379.10028
Graham, S. W.
8
1981
The distribution of squarefree numbers. Zbl 0422.10037
Graham, S. W.
5
1981
The greatest prime factor of the integers in an interval. Zbl 0442.10028
Graham, S. W.
3
1981
An asymptotic estimate related to Selberg’s sieve. Zbl 0382.10031
Graham, S.
9
1978
all top 5

Cited by 303 Authors

10 Nowak, Werner Georg
8 Carneiro, Emanuel
8 Littmann, Friedrich
8 Zhai, Wenguang
7 Baier, Stephan
7 Li, Jinjiang
7 Zhang, Min
6 Akbal, Yıldırım
6 Trudgian, Timothy S.
6 Vaaler, Jeffrey D.
5 Baker, Roger C.
5 Chamizo Lorente, Fernando
5 Gonçalves, Felipe M.
5 Hiary, Ghaith Ayesh
5 Huxley, Martin N.
5 Ivić, Aleksandar P.
5 Iwaniec, Henryk
5 Pintz, Janos
5 Ramaré, Olivier
5 Tanigawa, Yoshio
4 Furuya, Jun
4 Rivat, Joël
4 Robert, Olivier
3 Bergelson, Vitaly
3 Bordellès, Olivier
3 Cai, Yingchun
3 Cohn, Henry Lee
3 Filaseta, Michael A.
3 Goldston, Daniel Alan
3 Güloğlu, Ahmet Muhtar
3 Kumchev, Angel V.
3 Li, Sanhua
3 Luca, Florian
3 Maynard, James
3 Mirek, Mariusz
3 Shparlinski, Igor E.
3 Tayfeh-Rezaie, Behruz
3 Wu, Jie
3 Zhao, Liangyi
2 Bourgain, Jean
2 Chang, Yanxun
2 Debruyne, Gregory
2 Dietmann, Rainer
2 Fëdorov, Gleb Vladimirovich
2 Ford, Kevin B.
2 Gallardo, Luis Henri
2 Ganzburg, Michael Iosifovich
2 Garcia, Stephan Ramon
2 Ghosh, Anish
2 Graham, Sidney W.
2 Granville, Andrew James
2 Harman, Glyn
2 Holt, Jeffrey J.
2 Jia, Chaohua
2 Kiuchi, Isao
2 Kolesnik, Grigoriĭ Abramovich
2 Korevaar, Jacob
2 Krätzel, Ekkehard
2 Kühleitner, Manfred
2 Li, Junxian
2 Liu, Hongquan
2 Meng, Xianmeng
2 Milinovich, Micah B.
2 Moretó, Alexander
2 Mossinghoff, Michael J.
2 Ng, Nathan C.
2 Omidi, Gholam Reza
2 Park, Peter Seho
2 Pollack, Paul
2 Raboso, Dulcinea
2 Rahavandrainy, Olivier
2 Sargos, Patrick
2 Sarnak, Peter Clive
2 Son, Younghwan
2 Spiegelhofer, Lukas
2 Tolev, Doychin I.
2 Tóth, László
2 Vesalainen, Esa V.
2 Vindas, Jasson
2 Xi, Ping
2 Yıldırım, Cem Yalçın
2 Young, Matthew P.
2 Zaharescu, Alexandru
2 Zaman, Asif
2 Zhou, Junling
1 Ahn, Jeoung-Hwan
1 Alkan, Emre
1 Aloui, Karam
1 Arkhipov, Gennadiĭ Ivanovich
1 Aubel, Céline
1 Audenaert, Koenraad M. R.
1 Bach, Eric
1 Bai, Shuyi
1 Balasubramanian, Ramachandran
1 Bandeira, Afonso S.
1 Banks, William D.
1 Bayless, Jonathan
1 Bazzanella, Danilo
1 Benatar, Jacques
1 Bentkus, Vidmants-Kastytis
...and 203 more Authors
all top 5

Cited in 101 Serials

35 Journal of Number Theory
11 International Journal of Number Theory
10 Mathematika
10 Journal de Théorie des Nombres de Bordeaux
9 Monatshefte für Mathematik
9 Acta Mathematica Hungarica
8 Advances in Mathematics
8 Functiones et Approximatio. Commentarii Mathematici
8 Transactions of the American Mathematical Society
7 Indagationes Mathematicae. New Series
7 The Ramanujan Journal
5 Mathematics of Computation
5 Acta Arithmetica
5 Proceedings of the American Mathematical Society
4 Discrete Mathematics
4 Duke Mathematical Journal
4 Journal of Approximation Theory
4 Bulletin of the American Mathematical Society. New Series
4 Annals of Mathematics. Second Series
4 Acta Mathematica Sinica. English Series
3 Israel Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica
3 Mathematische Zeitschrift
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Designs, Codes and Cryptography
3 The Journal of Fourier Analysis and Applications
2 Bulletin of the Australian Mathematical Society
2 Journal d’Analyse Mathématique
2 Lithuanian Mathematical Journal
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Archiv der Mathematik
2 Glasgow Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Constructive Approximation
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Science in China. Series A
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Acta Mathematica Sinica. New Series
2 Journal of the Australian Mathematical Society
2 Central European Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Research in Number Theory
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Information Processing Letters
1 Journal of Statistical Physics
1 Mathematical Notes
1 Moscow University Mathematics Bulletin
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 The Annals of Statistics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series B
1 Journal of Functional Analysis
1 The Journal of the Indian Mathematical Society. New Series
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Theoretical Computer Science
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 Applications of Mathematics
1 Discrete Mathematics and Applications
1 Geometric and Functional Analysis. GAFA
1 Chinese Science Bulletin
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Turkish Journal of Mathematics
1 Finite Fields and their Applications
1 Journal of Combinatorial Designs
1 Selecta Mathematica. New Series
1 Electronic Research Announcements of the American Mathematical Society
1 Sbornik: Mathematics
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 Taiwanese Journal of Mathematics
1 Integers
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Frontiers of Mathematics in China
1 Algebra & Number Theory
1 Acta Universitatis Sapientiae. Informatica
1 Cryptography and Communications
1 Science China. Mathematics
1 Journal of Mathematics
1 Mathematics
1 European Journal of Mathematics
...and 1 more Serials
all top 5

Cited in 38 Fields

239 Number theory (11-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
16 Combinatorics (05-XX)
16 Approximations and expansions (41-XX)
10 Functions of a complex variable (30-XX)
10 Probability theory and stochastic processes (60-XX)
8 Group theory and generalizations (20-XX)
7 Sequences, series, summability (40-XX)
6 Functional analysis (46-XX)
6 Information and communication theory, circuits (94-XX)
5 Integral transforms, operational calculus (44-XX)
5 Convex and discrete geometry (52-XX)
4 Partial differential equations (35-XX)
4 Computer science (68-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Operator theory (47-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Algebraic geometry (14-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistics (62-XX)
2 Numerical analysis (65-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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