Carl Pomerance

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Paul ErdősMathematics
Florian LucaProfessor, Stellenbosch UniversityVerified email at sun.ac.za
Igor ShparlinskiUNSWVerified email at unsw.edu.au
András SárközyEötvös Loránd UniversityVerified email at cs.elte.hu
Par KurlbergProfessor of Mathematics, KTHVerified email at math.kth.se
Jonathan (Jon) M. BorweinLaureate Professor University of NewcastleVerified email at newcastle.edu.au
Juan GarayProfessor, Texas A&M University, Computer Science & EngineeringVerified email at TAMU.EDU
Ronald GrahamProfessor of Mathematics and Computer Science, UC San DiegoVerified email at ucsd.edu
Gérald TenenbaumProfesseur de mathématiques, université de LorraineVerified email at univ-lorraine.fr
Jeffrey ShallitProfessor Emeritus of Computer Science, University of WaterlooVerified email at cs.uwaterloo.ca
Ivan DamgårdProfessor of Computer Science, Aarhus UniversityVerified email at cs.au.dk
C.L. StewartDepartment of Pure Mathematics, University of WaterlooVerified email at uwaterloo.ca
Jeffrey C. LagariasProf. of Mathematics, Univ. of MichiganVerified email at umich.edu
Gilles BrassardProfessor of computer science, Université de MontréalVerified email at iro.umontreal.ca
christian mauduitAix-Marseille universityVerified email at iml.univ-mrs.fr
Karim BelabasIMB, Université de Bordeaux, FranceVerified email at math.u-bordeaux.fr
Greg MartinProfessor of Mathematics, University of British ColumbiaVerified email at math.ubc.ca
Mariana LevinAssociate Professor of Mathematics Education, Western Michigan UniversityVerified email at wmich.edu
Richard P BrentAustralian National UniversityVerified email at anu.edu.au
Nathan RyanProfessor of Mathematics, Bucknell UniversityVerified email at bucknell.edu

Carl Pomerance

Dartmouth College, University of Georgia

Verified email at dartmouth.edu - Homepage


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Prime numbers: a computational perspective RE Crandall, C Pomerance Springer, 2005	1904	2005
There are infinitely many Carmichael numbers WR Alford, A Granville, C Pomerance Annals of Mathematics 139 (3), 703-722, 1994	743	1994
A tale of two sieves C Pomerance Notices of the American Mathematical Society 43 (12), 1473-1485, 1996	508	1996
On a problem of Oppenheim concerning “factorisatio numerorum” ER Canfield, P Erdös, C Pomerance Journal of number theory 17 (1), 1-28, 1983	502	1983
The quadratic sieve factoring algorithm C Pomerance Workshop on the Theory and Application of of Cryptographic Techniques, 169-182, 1984	448	1984
Analysis and comparison of some integer factoring algorithms C Pomerance Computational methods in number theory, 89-139, 1982	425	1982
Factoring integers with the number field sieve JP Buhler, HW Lenstra, C Pomerance The development of the number field sieve, 50-94, 1993	405	1993
The pseudoprimes to 25⋅ 10⁹ C Pomerance, JL Selfridge, SS Wagstaff Mathematics of Computation 35 (151), 1003-1026, 1980	356	1980
The Riemann Zeta‐Function and the One‐Dimensional Weyl‐Berry Conjecture for Fractal Drums ML Lapidus, C Pomerance Proceedings of the London Mathematical Society 3 (1), 41-69, 1993	267	1993
A search for Wieferich and Wilson primes R Crandall, K Dilcher, C Pomerance Mathematics of Computation 66 (217), 433-449, 1997	194	1997
A rigorous time bound for factoring integers HW Lenstra, C Pomerance Journal of the American Mathematical Society 5 (3), 483-516, 1992	188	1992
Carmichael’s lambda function P Erdos, C Pomerance, E Schmutz Acta Arith 58 (4), 363-385, 1991	184	1991
Fast, rigorous factorization and discrete logarithm algorithms C Pomerance Discrete algorithms and complexity, 119-143, 1987	170	1987
Average case error estimates for the strong probable prime test I Damgård, P Landrock, C Pomerance Mathematics of computation 61 (203), 177-194, 1993	142	1993
On the distribution of pseudoprimes C Pomerance Mathematics of Computation 37 (156), 587-593, 1981	142	1981
A pipeline architecture for factoring large integers with the quadratic sieve algorithm C Pomerance, JW Smith, R Tuler SIAM Journal on Computing 17 (2), 387-403, 1988	122	1988
Recent developments in primality testing C Pomerance The Mathematical Intelligencer 3 (3), 97-105, 1981	120	1981
Period of the power generator and small values of Carmichael’s function J Friedlander, C Pomerance, I Shparlinski Mathematics of computation 70 (236), 1591-1605, 2001	118	2001
On the normal behavior of the iterates of some arithmetic functions P Erdös, A Granvilie, C Pomerance, C Spiro Analytic Number Theory: Proceedings of a Conference in Honor of Paul T …, 1990	113	1990
On the distribution of amicable numbers. C Pomerance Walter de Gruyter, Berlin/New York 1977 (293-294), 217-222, 1977	110	1977

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