Edit Profile (opens in new tab) Crandall, Richard E. Co-Author Distance Author ID: crandall.richard-e Published as: Crandall, Richard E.; Crandall, R. E.; Crandall, Richard; Crandall, R. more...less 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 all top 5 Co-Authors 13 single-authored 17 Borwein, Jonathan Michael 12 Bailey, David Harold 7 Buhler, Joe P. 4 Pomerance, Carl Bernard 3 Borwein, David 2 Dilcher, Karl 2 Ernvall, Reijo 2 Metsänkylä, Tauno 2 Penk, M. A. 1 Bradley, David M. 1 Brent, Richard Peirce 1 Chan, O-Yeat 1 Doenias, J. 1 Fagin, Barry S. 1 Fee, Greg J. 1 Levich, Marvin 1 Mayer, Ernst W. 1 Norrie, C. 1 Papadopoulos, Jason S. 1 Reno, Mary Hall 1 Rose, Michael G. 1 Shokhrollahi, A. Amin 1 Sompolski, R. W. 1 Stearns, Stephen C. 1 Van Halewyn, C. 1 Zucker, I. John all top 5 Serials 14 Mathematics of Computation 9 Experimental Mathematics 6 Journal of Physics A: Mathematical and General 2 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Physics 1 Applied Mathematics and Computation 1 SIAM Journal on Numerical Analysis 1 Theoretical Population Biology 1 Journal of Symbolic Computation 1 Notices of the American Mathematical Society 1 Journal de Théorie des Nombres de Bordeaux 1 The Ramanujan Journal 1 Integers 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 36 Number theory (11-XX) 17 Numerical analysis (65-XX) 11 Special functions (33-XX) 9 Computer science (68-XX) 4 Sequences, series, summability (40-XX) 4 Biology and other natural sciences (92-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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