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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: 31 Publications since 1978, including 1 Book
1 Contribution as Editor
Reviewing Activity: 123 Reviews
Co-Authors: 21 Co-Authors with 22 Joint Publications
1,144 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 474 times in 438 Documents Cited by Year
Van der Corput’s method for exponential sums. Zbl 0713.11001
Graham, S. W.; Kolesnik, G.
247
1991
A class of extremal functions for the Fourier transform. Zbl 0483.42007
Graham, S. W.; Vaaler, Jeffrey D.
33
1981
Lower bounds for least quadratic non-residues. Zbl 0719.11006
Graham, S. W.; Ringrose, C. J.
29
1990
Small gaps between products of two primes. Zbl 1213.11171
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
21
2009
Explicit estimates for the Riemann zeta function. Zbl 1062.11056
Cheng, Yuanyou F.; Graham, Sidney W.
18
2004
An asymptotic estimate related to Selberg’s sieve. Zbl 0382.10031
Graham, S.
14
1978
On Linnik’s constant. Zbl 0379.10028
Graham, S. W.
12
1981
On the solutions to \(\varphi(n)=\varphi(n+k)\). Zbl 0937.11037
Graham, S. W.; Holt, Jeffrey J.; Pomerance, Carl
9
1999
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 the difference between consecutive squarefree integers. Zbl 0656.10041
Graham, S. W.; Kolesnik, G.
8
1988
Small gaps between primes or almost primes. Zbl 1228.11148
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
8
2009
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.
7
2011
On the number of divisors of \(n!\). Zbl 0858.11051
Erdős, Paul; Graham, S. W.; Ivić, Aleksandar; Pomerance, Carl
6
1996
The distribution of squarefree numbers. Zbl 0422.10037
Graham, S. W.
6
1981
On RSA moduli with almost half of the bits prescribed. Zbl 1172.11046
Graham, Sidney W.; Shparlinski, Igor E.
6
2008
The distribution of r-free numbers. Zbl 0676.10029
Graham, S. W.; Pintz, J.
5
1989
Extremal functions for the Fourier transform and the large sieve. Zbl 0552.10028
Graham, S. W.; Vaaler, Jeffrey D.
5
1984
The Lindelöf hypothesis for primes is equivalent to the Riemann hypothesis. Zbl 1476.11113
Gonek, Steven M.; Graham, Sidney W.; Lee, Yoonbok
5
2020
Application of a character sum estimate to a 2-class number density. Zbl 0551.12002
Gerth, Frank III; Graham, S. W.
4
1984
An algorithm for computing optimal exponent pairs. Zbl 0561.10018
Graham, S. W.
4
1986
Starting with gaps between \(k\)-free numbers. Zbl 1333.11091
Filaseta, M.; Graham, S.; Trifonov, O.
4
2015
The greatest prime factor of the integers in an interval. Zbl 0442.10028
Graham, S. W.
3
1981
\(B_ h\) sequences. Zbl 0859.11009
Graham, S. W.
2
1996
Unitary perfect numbers with squarefree odd part. Zbl 0678.10004
Graham, S. W.
2
1989
One and two dimensional exponential sums. Zbl 0626.10034
Graham, S. W.; Kolesnik, G.
2
1987
Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II. Zbl 1465.11189
Goldston, Daniel A.; Graham, Sidney W.; Panidapu, Apoorva; Pintz, Janos; Schettler, Jordan; Yıldırım, Cem Y.
2
2021
An upper bound weighted sieve. Zbl 0457.10027
Graham, S. W.
1
1981
An estimate for the number of reducible Bessel polynomials of bounded degrees. Zbl 0818.11014
Filaseta, M.; Graham, S. W.
1
1993
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 II. Zbl 1465.11189
Goldston, Daniel A.; Graham, Sidney W.; Panidapu, Apoorva; Pintz, Janos; Schettler, Jordan; Yıldırım, Cem Y.
2
2021
The Lindelöf hypothesis for primes is equivalent to the Riemann hypothesis. Zbl 1476.11113
Gonek, Steven M.; Graham, Sidney W.; Lee, Yoonbok
5
2020
Starting with gaps between \(k\)-free numbers. Zbl 1333.11091
Filaseta, M.; Graham, S.; Trifonov, O.
4
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.
7
2011
Small gaps between products of two primes. Zbl 1213.11171
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
21
2009
Small gaps between primes or almost primes. Zbl 1228.11148
Goldston, D. A.; Graham, S. W.; Pintz, J.; Yıldırım, C. Y.
8
2009
On RSA moduli with almost half of the bits prescribed. Zbl 1172.11046
Graham, Sidney W.; Shparlinski, Igor E.
6
2008
Explicit estimates for the Riemann zeta function. Zbl 1062.11056
Cheng, Yuanyou F.; Graham, Sidney W.
18
2004
On the solutions to \(\varphi(n)=\varphi(n+k)\). Zbl 0937.11037
Graham, S. W.; Holt, Jeffrey J.; Pomerance, Carl
9
1999
On the number of divisors of \(n!\). Zbl 0858.11051
Erdős, Paul; Graham, S. W.; Ivić, Aleksandar; Pomerance, Carl
6
1996
\(B_ h\) sequences. Zbl 0859.11009
Graham, S. W.
2
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.
247
1991
Lower bounds for least quadratic non-residues. Zbl 0719.11006
Graham, S. W.; Ringrose, C. J.
29
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.
8
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
Extremal functions for the Fourier transform and the large sieve. Zbl 0552.10028
Graham, S. W.; Vaaler, Jeffrey D.
5
1984
Application of a character sum estimate to a 2-class number density. Zbl 0551.12002
Gerth, Frank III; Graham, S. W.
4
1984
A class of extremal functions for the Fourier transform. Zbl 0483.42007
Graham, S. W.; Vaaler, Jeffrey D.
33
1981
On Linnik’s constant. Zbl 0379.10028
Graham, S. W.
12
1981
The distribution of squarefree numbers. Zbl 0422.10037
Graham, S. W.
6
1981
The greatest prime factor of the integers in an interval. Zbl 0442.10028
Graham, S. W.
3
1981
An upper bound weighted sieve. Zbl 0457.10027
Graham, S. W.
1
1981
An asymptotic estimate related to Selberg’s sieve. Zbl 0382.10031
Graham, S.
14
1978
all top 5

Cited by 437 Authors

13 Li, Jinjiang
13 Zhang, Min
12 Zhai, Wenguang
10 Nowak, Werner Georg
10 Shparlinski, Igor E.
10 Wu, Jie
9 Carneiro, Emanuel
8 Akbal, Yıldırım
8 Dimitrov, Stoyan Ivanov
8 Guo, Victor Zhenyu
8 Littmann, Friedrich
7 Baier, Stephan
7 Güloğlu, Ahmet Muhtar
7 Pintz, Janos
7 Trudgian, Timothy S.
6 Baker, Roger C.
6 Chamizo Lorente, Fernando
6 Ivić, Aleksandar
6 Kiuchi, Isao
6 Ma, Jing
6 Ramaré, Olivier
6 Vaaler, Jeffrey D.
5 Gonçalves, Felipe M.
5 Hiary, Ghaith Ayesh
5 Huxley, Martin N.
5 Iwaniec, Henryk
5 Kumchev, Angel V.
5 Rivat, Joël
5 Robert, Olivier
5 Tanigawa, Yoshio
4 Bordellès, Olivier
4 Cai, Yingchun
4 Furuya, Jun
4 Goldston, Daniel Alan
4 Liu, Kui
4 Mossinghoff, Michael J.
4 Zhang, Wei
3 Banks, William David
3 Bergelson, Vitaly
3 Cohn, Henry Lee
3 Deshouillers, Jean-Marc
3 Filaseta, Michael A.
3 Ford, Kevin B.
3 Granville, Andrew James
3 Huang, Bingrong
3 Karthick Babu, C. G.
3 Lamzouri, Youness
3 Li, Sanhua
3 Luca, Florian
3 Maynard, James
3 Mirek, Mariusz
3 Mukhopadhyay, Anirban
3 Sargos, Patrick
3 Spiegelhofer, Lukas
3 Tayfeh-Rezaie, Behruz
3 Viswanadham, G. K.
3 Zhao, Liangyi
2 Alterman, Sebastian Zuniga
2 Bourgain, Jean
2 Chan, Tsz Ho
2 Chang, Yanxun
2 Chirre, Andrés
2 Debruyne, Gregory
2 Demeter, Ciprian
2 Dietmann, Rainer
2 Drmota, Michael
2 Fëdorov, Gleb Vladimirovich
2 Ferrari, Matteo
2 Gabdullin, Mikhail R.
2 Gallardo, Luis Henri
2 Ganzburg, Michael Iosifovich
2 Garcia, Stephan Ramon
2 Garunkštis, Ramūnas
2 Ghosh, Anish
2 Graham, Sidney W.
2 Harman, Glyn
2 Hasanalizade, Elchin
2 Helfgott, Harald Andrés
2 Holt, Jeffrey J.
2 Huang, Jing
2 Jia, Chaohua
2 Jing, Mengyao
2 Kadiri, Habiba
2 Kolesnik, Grigoriĭ Abramovich
2 Konyagin, Sergeĭ Vladimirovich
2 Korevaar, Jacob
2 Korolëv, Maksim Aleksandrovich
2 Krätzel, Ekkehard
2 Kühleitner, Manfred
2 Li, Jiamin
2 Li, Junxian
2 Liu, Hongquan
2 Liu, Huafeng
2 Madritsch, Manfred G.
2 Mauduit, Christian
2 Meng, Xianmeng
2 Milinovich, Micah B.
2 Milovic, Djordjo Z.
2 Moretó, Alexander
2 Morgenbesser, Johannes F.
...and 337 more Authors
all top 5

Cited in 130 Serials

51 Journal of Number Theory
24 International Journal of Number Theory
19 The Ramanujan Journal
16 Mathematika
13 Acta Arithmetica
11 Functiones et Approximatio. Commentarii Mathematici
11 Acta Mathematica Hungarica
11 Indagationes Mathematicae. New Series
11 Journal de Théorie des Nombres de Bordeaux
10 Monatshefte für Mathematik
9 Advances in Mathematics
8 Journal of Mathematical Analysis and Applications
8 Proceedings of the American Mathematical Society
8 Transactions of the American Mathematical Society
6 Lithuanian Mathematical Journal
6 Rocky Mountain Journal of Mathematics
5 Mathematics of Computation
5 Duke Mathematical Journal
5 Mathematische Nachrichten
5 Research in Number Theory
4 Discrete Mathematics
4 Journal d’Analyse Mathématique
4 Periodica Mathematica Hungarica
4 Journal of Approximation Theory
4 Mathematische Annalen
4 Designs, Codes and Cryptography
4 Bulletin of the American Mathematical Society. New Series
4 Annals of Mathematics. Second Series
4 Acta Mathematica Sinica. English Series
3 Bulletin of the Australian Mathematical Society
3 Israel Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Acta Mathematica
3 Archiv der Mathematik
3 Mathematische Zeitschrift
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 The Journal of Fourier Analysis and Applications
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Proceedings of the Steklov Institute of Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 The Mathematical Intelligencer
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Combinatorial Theory. Series A
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 Acta Mathematica Sinica. New Series
2 St. Petersburg Mathematical Journal
2 Georgian Mathematical Journal
2 Finite Fields and their Applications
2 Sbornik: Mathematics
2 Taiwanese Journal of Mathematics
2 Integers
2 Journal of the Australian Mathematical Society
2 Central European Journal of Mathematics
2 Frontiers of Mathematics in China
2 AIMS Mathematics
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 Russian Mathematical Surveys
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
1 Annales de l’Institut Fourier
1 The Annals of Statistics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 The Journal of the Indian Mathematical Society. New Series
1 Manuscripta Mathematica
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Theoretical Computer Science
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
1 SIAM Journal on Discrete Mathematics
1 IMRN. International Mathematics Research Notices
1 Applications of Mathematics
1 Discrete Mathematics and Applications
...and 30 more Serials
all top 5

Cited in 40 Fields

387 Number theory (11-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
20 Combinatorics (05-XX)
18 Approximations and expansions (41-XX)
11 Probability theory and stochastic processes (60-XX)
10 Functions of a complex variable (30-XX)
8 Group theory and generalizations (20-XX)
7 Sequences, series, summability (40-XX)
7 Functional analysis (46-XX)
7 Information and communication theory, circuits (94-XX)
6 Partial differential equations (35-XX)
6 Integral transforms, operational calculus (44-XX)
6 Convex and discrete geometry (52-XX)
4 Algebraic geometry (14-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operator theory (47-XX)
3 Statistics (62-XX)
3 Numerical analysis (65-XX)
3 Computer science (68-XX)
3 Statistical mechanics, structure of matter (82-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 Quantum theory (81-XX)
1 History and biography (01-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)
1 Mathematics education (97-XX)

Citations by Year

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