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Crandall, Richard E.

Author ID: crandall.richard-e Recent zbMATH articles by "Crandall, Richard E."
Published as: Crandall, Richard E.; Crandall, R. E.; Crandall, Richard; Crandall, R.
External Links: Wikidata · GND · IdRef
Documents Indexed: 50 Publications since 1978, including 7 Books
Biographic References: 1 Publication
Co-Authors: 26 Co-Authors with 37 Joint Publications
558 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 708 times in 571 Documents Cited by Year
Prime numbers. A computational perspective. 2nd ed. Zbl 1088.11001
Crandall, Richard; Pomerance, Carl
149
2005
A search for Wieferich and Wilson primes. Zbl 0854.11002
Crandall, Richard; Dilcher, Karl; Pomerance, Carl
55
1997
Computational strategies for the Riemann zeta function. Zbl 0972.11077
Borwein, Jonathan M.; Bradley, David M.; Crandall, Richard E.
55
2000
On the evaluation of Euler sums. Zbl 0833.11045
Crandall, Richard E.; Buhler, Joe P.
29
1994
Irregular primes and cyclotomic invariants to 12 million. Zbl 1001.11061
Buhler, Joe; Crandall, Richard; Ernvall, Reijo; Metsänkylä, Tauno; Shokhrollahi, A. Amin
29
2001
Random generators and normal numbers. Zbl 1165.11328
Bailey, David H.; Crandall, Richard E.
27
2002
Irregular primes and cyclotomic invariants to four million. Zbl 0789.11020
Buhler, J.; Crandall, R.; Ernvall, Reijo; Metsänkylä, Tauno
24
1993
Discrete weighted transforms and large-integer arithmetic. Zbl 0839.11065
Crandall, Richard; Fagin, Barry
24
1994
On the ”3x+1” problem. Zbl 0395.10013
Crandall, R. E.
23
1978
Topics in advanced scientific computation. Zbl 0844.65001
Crandall, Richard E.
22
1996
Closed forms: what they are and why we care. Zbl 1334.33042
Borwein, Jonathan M.; Crandall, Richard E.
21
2013
Irregular primes to one million. Zbl 0768.11009
Buhler, J. P.; Crandall, R. E.; Sompolski, R. W.
20
1992
On the binary expansions of algebraic numbers. Zbl 1076.11045
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl
20
2004
On the random character of fundamental constant expansions. Zbl 1047.11073
Bailey, David H.; Crandall, Richard E.
19
2001
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
17
2014
Effective Laguerre asymptotics. Zbl 1196.33010
Borwein, David; Borwein, Jonathan M.; Crandall, Richard E.
15
2008
On the quantum zeta function. Zbl 0905.58040
Crandall, Richard E.
14
1996
Integrals of the Ising class. Zbl 1113.65023
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
14
2006
Prime numbers. A computational perspective. Zbl 0995.11072
Crandall, Richard; Pomerance, Carl
11
1999
Box integrals. Zbl 1120.65027
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
11
2007
Advances in the theory of box integrals. Zbl 1227.11127
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
10
2010
On the Khintchin constant. Zbl 0854.11078
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
9
1997
New representations for the Madelung constant. Zbl 0949.11062
Crandall, Richard E.
9
1999
Fast evaluation of multiple zeta sums. Zbl 0901.11036
Crandall, Richard E.
9
1998
The twenty-fourth Fermat number is composite. Zbl 1035.11066
Crandall, Richard E.; Mayer, Ernst W.; Papadopoulos, Jason S.
7
2003
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
7
2013
On the Ramanujan AGM fraction. I: The real-parameter case. Zbl 1090.11005
Borwein, J.; Crandall, R.; Fee, G.
7
2004
Projects in scientific computation. Diskette included. Zbl 0791.65001
Crandall, Richard E.
6
1994
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
5
2013
Hypergeometric forms for Ising-class integrals. Zbl 1134.33016
Bailey, D. H.; Borwein, D.; Borwein, J. M.; Crandall, R. E.
5
2007
On the Ramanujan AGM fraction. II: The complex-parameter case. Zbl 1122.11044
Borwein, J.; Crandall, R.
5
2004
Higher-dimensional box integrals. Zbl 1251.33002
Borwein, Jonathan M.; Chan, O-Yeat; Crandall, R. E.
5
2010
The twenty-second Fermat number is composite. Zbl 0823.11073
Crandall, R.; Doenias, J.; Norrie, C.; Young, J.
4
1995
Elementary function expansions for Madelung constants. Zbl 0675.33009
Crandall, R. E.; Buhler, J. P.
3
1987
Fast eigenvalue algorithm for central potentials. Zbl 0514.65067
Crandall, R. E.
3
1983
Combinatorial approach to Feynman path integration. Zbl 0795.35089
Crandall, Richard E.
2
1993
A search for large twin prime pairs. Zbl 0394.10005
Crandall, R. E.; Penk, M. A.
2
1979
On the dynamics of certain recurrence relations. Zbl 1121.11047
Borwein, D.; Borwein, J.; Crandall, R.; Mayer, R.
2
2007
Ground state energy bounds for potentials \(|x|^\nu\). Zbl 0483.35061
Crandall, R. E.; Reno, Mary Hall
2
1982
On the convergence problem for lattice sums. Zbl 0727.11024
Buhler, J. P.; Crandall, R. E.
2
1990
Primes of the form \(n! \pm 1\) and \(2\cdot 3\cdot 5\cdots p\pm 1\). Zbl 0493.10009
Buhler, J. P.; Crandall, R. E.; Penk, M. A.
2
1982
Three new factors of Fermat numbers. Zbl 1042.11082
Brent, R. P.; Crandall, R. E.; Dilcher, K.; Van Halewyn, C.
1
2000
On the fractal distribution of brain synapses. Zbl 1290.92006
Crandall, Richard
1
2013
The googol-th bit of the Erdős-Borwein constant. Zbl 1266.11023
Crandall, Richard
1
2012
Computation and theory of extended Mordell-Tornheim-Witten sums. Zbl 1296.33004
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
17
2014
Closed forms: what they are and why we care. Zbl 1334.33042
Borwein, Jonathan M.; Crandall, Richard E.
21
2013
Lattice sums arising from the Poisson equation. Zbl 1263.11074
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.
7
2013
Expectations on fractal sets. Zbl 1329.28015
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Rose, Michael G.
5
2013
On the fractal distribution of brain synapses. Zbl 1290.92006
Crandall, Richard
1
2013
The googol-th bit of the Erdős-Borwein constant. Zbl 1266.11023
Crandall, Richard
1
2012
Advances in the theory of box integrals. Zbl 1227.11127
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
10
2010
Higher-dimensional box integrals. Zbl 1251.33002
Borwein, Jonathan M.; Chan, O-Yeat; Crandall, R. E.
5
2010
Effective Laguerre asymptotics. Zbl 1196.33010
Borwein, David; Borwein, Jonathan M.; Crandall, Richard E.
15
2008
Box integrals. Zbl 1120.65027
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
11
2007
Hypergeometric forms for Ising-class integrals. Zbl 1134.33016
Bailey, D. H.; Borwein, D.; Borwein, J. M.; Crandall, R. E.
5
2007
On the dynamics of certain recurrence relations. Zbl 1121.11047
Borwein, D.; Borwein, J.; Crandall, R.; Mayer, R.
2
2007
Integrals of the Ising class. Zbl 1113.65023
Bailey, D. H.; Borwein, J. M.; Crandall, R. E.
14
2006
Prime numbers. A computational perspective. 2nd ed. Zbl 1088.11001
Crandall, Richard; Pomerance, Carl
149
2005
On the binary expansions of algebraic numbers. Zbl 1076.11045
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl
20
2004
On the Ramanujan AGM fraction. I: The real-parameter case. Zbl 1090.11005
Borwein, J.; Crandall, R.; Fee, G.
7
2004
On the Ramanujan AGM fraction. II: The complex-parameter case. Zbl 1122.11044
Borwein, J.; Crandall, R.
5
2004
The twenty-fourth Fermat number is composite. Zbl 1035.11066
Crandall, Richard E.; Mayer, Ernst W.; Papadopoulos, Jason S.
7
2003
Random generators and normal numbers. Zbl 1165.11328
Bailey, David H.; Crandall, Richard E.
27
2002
Irregular primes and cyclotomic invariants to 12 million. Zbl 1001.11061
Buhler, Joe; Crandall, Richard; Ernvall, Reijo; Metsänkylä, Tauno; Shokhrollahi, A. Amin
29
2001
On the random character of fundamental constant expansions. Zbl 1047.11073
Bailey, David H.; Crandall, Richard E.
19
2001
Computational strategies for the Riemann zeta function. Zbl 0972.11077
Borwein, Jonathan M.; Bradley, David M.; Crandall, Richard E.
55
2000
Three new factors of Fermat numbers. Zbl 1042.11082
Brent, R. P.; Crandall, R. E.; Dilcher, K.; Van Halewyn, C.
1
2000
Prime numbers. A computational perspective. Zbl 0995.11072
Crandall, Richard; Pomerance, Carl
11
1999
New representations for the Madelung constant. Zbl 0949.11062
Crandall, Richard E.
9
1999
Fast evaluation of multiple zeta sums. Zbl 0901.11036
Crandall, Richard E.
9
1998
A search for Wieferich and Wilson primes. Zbl 0854.11002
Crandall, Richard; Dilcher, Karl; Pomerance, Carl
55
1997
On the Khintchin constant. Zbl 0854.11078
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
9
1997
Topics in advanced scientific computation. Zbl 0844.65001
Crandall, Richard E.
22
1996
On the quantum zeta function. Zbl 0905.58040
Crandall, Richard E.
14
1996
The twenty-second Fermat number is composite. Zbl 0823.11073
Crandall, R.; Doenias, J.; Norrie, C.; Young, J.
4
1995
On the evaluation of Euler sums. Zbl 0833.11045
Crandall, Richard E.; Buhler, Joe P.
29
1994
Discrete weighted transforms and large-integer arithmetic. Zbl 0839.11065
Crandall, Richard; Fagin, Barry
24
1994
Projects in scientific computation. Diskette included. Zbl 0791.65001
Crandall, Richard E.
6
1994
Irregular primes and cyclotomic invariants to four million. Zbl 0789.11020
Buhler, J.; Crandall, R.; Ernvall, Reijo; Metsänkylä, Tauno
24
1993
Combinatorial approach to Feynman path integration. Zbl 0795.35089
Crandall, Richard E.
2
1993
Irregular primes to one million. Zbl 0768.11009
Buhler, J. P.; Crandall, R. E.; Sompolski, R. W.
20
1992
On the convergence problem for lattice sums. Zbl 0727.11024
Buhler, J. P.; Crandall, R. E.
2
1990
Elementary function expansions for Madelung constants. Zbl 0675.33009
Crandall, R. E.; Buhler, J. P.
3
1987
Fast eigenvalue algorithm for central potentials. Zbl 0514.65067
Crandall, R. E.
3
1983
Ground state energy bounds for potentials \(|x|^\nu\). Zbl 0483.35061
Crandall, R. E.; Reno, Mary Hall
2
1982
Primes of the form \(n! \pm 1\) and \(2\cdot 3\cdot 5\cdots p\pm 1\). Zbl 0493.10009
Buhler, J. P.; Crandall, R. E.; Penk, M. A.
2
1982
A search for large twin prime pairs. Zbl 0394.10005
Crandall, R. E.; Penk, M. A.
2
1979
On the ”3x+1” problem. Zbl 0395.10013
Crandall, R. E.
23
1978
all top 5

Cited by 734 Authors

38 Borwein, Jonathan Michael
27 Bailey, David Harold
22 Crandall, Richard E.
15 Shparlinski, Igor E.
12 Harvey, David
11 Dilcher, Karl
9 Eie, Minking
9 Xu, Ce
7 Zhang, Zhenxiang
6 Ishmukhametov, Shamil
6 Pomerance, Carl Bernard
6 Sun, Zhi-Wei
5 Amore, Paolo
5 Brent, Richard Peirce
5 Bugeaud, Yann
5 Chen, Zhixiong
5 Metsänkylä, Tauno
5 Mihăilescu, Preda
5 Srivastava, Hari Mohan
5 Sutherland, Andrew V.
5 Webster, Jonathan
5 Williams, Hugh Cowie
4 Adamczewski, Boris
4 Agoh, Takashi
4 Andrica, Dorin
4 Borwein, David
4 Bradley, David M.
4 Ernvall, Reijo
4 Liaw, Wen-Chin
4 Mubarakov, B. G.
4 Rivoal, Tanguy
4 Skula, Ladislav
4 Sumida-Takahashi, Hiroki
4 van der Hoeven, Joris
3 Bagdasar, Ovidiu Dumitru
3 Borwein, Peter Benjamin
3 Buhler, Joe P.
3 Cantarini, Marco
3 Croot, Ernie
3 Du, Xiaoni
3 Granville, Andrew James
3 Johansson, Fredrik
3 Jones, Lenny K.
3 Kaneko, Hajime
3 Konyagin, Sergeĭ Vladimirovich
3 Luca, Florian
3 Merca, Mircea
3 Meštrović, Romeo
3 Moll, Victor Hugo
3 Morain, François
3 Ong, Yaolin
3 Roettger, Eric L.
3 Sergeev, Igor’ Sergeevich
3 Silverberg, Alice
3 Straub, Armin
3 Tetali, Prasad
3 Vandehey, Joseph
3 Vignat, Christophe
3 Wei, Chuan-Sheng
3 Winterhof, Arne
3 Zhang, Mingyu
2 Adamchik, Victor S.
2 Adegoke, Kunle
2 Antonov, N. A.
2 Banks, William David
2 Becher, Verónica
2 Beliakov, Gleb
2 Berg, Lothar
2 Berrizbeitia, Pedro
2 Booker, Andrew R.
2 Broadhurst, David John
2 Byrnes, Alyssa N.
2 Caflisch, Russel E.
2 Calude, Cristian S.
2 Campbell, John Maxwell
2 Can, Mumun
2 Chamberland, Marc
2 Chan, Hing-Lun
2 Chan, O-Yeat
2 Choi, Junesang
2 Cobeli, Cristian
2 Contini, Scott
2 Corry, Leo
2 Cosgrave, John B.
2 Costa, Edgar
2 Dağli, Muhammet Cihat
2 Demichel, Patrick
2 Deng, Lih-Yuan
2 Dil, Ayhan
2 Eliahou, Shalom
2 Figueira, Santiago
2 Ford, Kevin B.
2 Gallot, Yves
2 Gargano, Francesco
2 Granger, Robert A.
2 Grau, José María
2 Herzog, Gerd
2 Hiary, Ghaith Ayesh
2 Hittmeir, Markus
2 Ichimura, Humio
...and 634 more Authors
all top 5

Cited in 197 Serials

76 Mathematics of Computation
35 Journal of Number Theory
22 Experimental Mathematics
21 The Ramanujan Journal
13 International Journal of Number Theory
12 Journal of Mathematical Analysis and Applications
11 Integers
8 Bulletin of the Australian Mathematical Society
8 Applied Mathematics and Computation
8 Theoretical Computer Science
7 American Mathematical Monthly
6 Functiones et Approximatio. Commentarii Mathematici
6 Journal of the Australian Mathematical Society
5 The Mathematical Intelligencer
5 Journal of Computational and Applied Mathematics
5 Proceedings of the American Mathematical Society
5 Integral Transforms and Special Functions
4 Journal of Mathematical Physics
4 Journal of Approximation Theory
4 Mathematische Annalen
4 Advances in Applied Mathematics
4 Journal of Symbolic Computation
4 Journal of Complexity
4 Designs, Codes and Cryptography
4 International Journal of Computer Mathematics
4 Russian Mathematics
3 Discrete Mathematics
3 Acta Arithmetica
3 Bulletin of the London Mathematical Society
3 Czechoslovak Mathematical Journal
3 Manuscripta Mathematica
3 Monatshefte für Mathematik
3 Transactions of the American Mathematical Society
3 Bulletin of the Korean Mathematical Society
3 Acta Mathematica Hungarica
3 Numerical Algorithms
3 Annals of Physics
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Mathematical Chemistry
3 Lobachevskii Journal of Mathematics
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Information Processing Letters
2 Journal of Statistical Physics
2 The Mathematical Gazette
2 Rocky Mountain Journal of Mathematics
2 ACM Transactions on Mathematical Software
2 Annales de l’Institut Fourier
2 Computing
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 Michigan Mathematical Journal
2 Results in Mathematics
2 Ergodic Theory and Dynamical Systems
2 Statistics & Probability Letters
2 Probability Theory and Related Fields
2 Revista Matemática Iberoamericana
2 Elemente der Mathematik
2 Linear Algebra and its Applications
2 Indagationes Mathematicae. New Series
2 Applicable Algebra in Engineering, Communication and Computing
2 Journal of Mathematical Imaging and Vision
2 SIAM Journal on Scientific Computing
2 Journal of Mathematical Sciences (New York)
2 Advances in Computational Mathematics
2 Discrete and Continuous Dynamical Systems
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Theory of Computing Systems
2 Journal of Integer Sequences
2 Annals of Mathematics. Second Series
2 Quantum Information Processing
2 Missouri Journal of Mathematical Sciences
2 Mediterranean Journal of Mathematics
2 Chebyshevskiĭ Sbornik
2 Journal of Physics A: Mathematical and Theoretical
2 Advances in Mathematics of Communications
2 Acta Mathematica Universitatis Ostraviensis
2 Applicable Analysis and Discrete Mathematics
2 Science China. Mathematics
2 Science China. Information Sciences
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 JSIAM Letters
2 Journal of Mathematics
2 Prikladnaya Diskretnaya Matematika
2 Matematicheskie Voprosy Kriptografii
1 International Journal of Modern Physics B
1 The American Statistician
1 Analysis Mathematica
1 Archive for History of Exact Sciences
1 Communications in Mathematical Physics
1 Ingenieur-Archiv
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Lithuanian Mathematical Journal
1 Problems of Information Transmission
1 Ukrainian Mathematical Journal
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Advances in Mathematics
...and 97 more Serials
all top 5

Cited in 50 Fields

441 Number theory (11-XX)
68 Computer science (68-XX)
65 Special functions (33-XX)
54 Numerical analysis (65-XX)
39 Information and communication theory, circuits (94-XX)
37 Combinatorics (05-XX)
23 Algebraic geometry (14-XX)
22 Probability theory and stochastic processes (60-XX)
22 Quantum theory (81-XX)
20 Dynamical systems and ergodic theory (37-XX)
16 Sequences, series, summability (40-XX)
16 Approximations and expansions (41-XX)
15 Functions of a complex variable (30-XX)
14 Real functions (26-XX)
11 Mathematical logic and foundations (03-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Field theory and polynomials (12-XX)
9 Measure and integration (28-XX)
9 Partial differential equations (35-XX)
8 Ordinary differential equations (34-XX)
7 History and biography (01-XX)
7 Group theory and generalizations (20-XX)
7 Statistics (62-XX)
5 Operator theory (47-XX)
5 Convex and discrete geometry (52-XX)
4 Commutative algebra (13-XX)
4 Difference and functional equations (39-XX)
4 Integral transforms, operational calculus (44-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
3 Mechanics of deformable solids (74-XX)
3 Operations research, mathematical programming (90-XX)
3 Mathematics education (97-XX)
2 Associative rings and algebras (16-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Differential geometry (53-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year

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