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11	Carmichael numbers and pseudoprimes Notes by G.J.O. Jameson Introduction Recall that Fermat’s “little theorem” says that if p is prime and a is not a multiple of p, then ap−1 ≡ 1 mod p. Add to Reading List Source URL: www.maths.lancs.ac.uk Language: English - Date: 2010-06-11 07:53:10 Integer sequences Modular arithmetic Fermat number Carmichael number Prime number Coprime Lucas pseudoprime Strong pseudoprime Mathematics Number theory Pseudoprimes
12	The ranges of various familiar functions Carl Pomerance, Dartmouth College based on joint work with K. Ford, F. Luca, and P. Pollack Let us introduce our cast of characters: Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2014-06-19 09:26:56 Modular arithmetic Divisor function Prime number Carmichael number Number Divisor Normal distribution Mathematics Integer sequences Number theory
13	MATHEMATICS OF COMPUTATION Volume 70, Number 236, Pages 1591–1605 S[removed][removed]Article electronically published on July 13, 2000 PERIOD OF THE POWER GENERATOR Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Number theory Spectral theory Carmichael function Operator theory Ordinary differential equations Arithmetic function Spectral theory of ordinary differential equations Mathematics Mathematical analysis Modular arithmetic
14	MATHEMATICS OF COMPUTATION Volume 71, Number 240, Pages 1803–1806 S[removed][removed]Article electronically published on May 28, 2002 CORRIGENDUM TO “PERIOD OF THE POWER GENERATOR Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Divisor function Carmichael function Elliptic functions Modular forms Arithmetic function Spectral theory of ordinary differential equations Mathematics Modular arithmetic Number theory
15	THE ARTIN–CARMICHAEL PRIMITIVE ROOT PROBLEM ON AVERAGE SHUGUANG LI AND CARL POMERANCE Abstract. For a natural number n, let λ(n) denote the order of the largest cyclic subgroup of (Z/nZ)∗ . For a given integer a, le Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-10-05 14:55:48 Dirichlet character Generalized Riemann hypothesis Exponentiation Spectral theory Spectral theory of ordinary differential equations Μ operator Abstract algebra Mathematics Mathematical analysis
16	INFINITUDE OF ELLIPTIC CARMICHAEL NUMBERS AARON EKSTROM, CARL POMERANCE and DINESH S. THAKUR (September 25, 2011) Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2011-09-27 14:35:17 Integer sequences Modular arithmetic Group theory Analytic number theory Elliptic curve Primality test Coprime Prime number Carmichael number Mathematics Abstract algebra Number theory
17	ARE THERE COUNTER-EXAMPLES TO THE BAILLIE – PSW PRIMALITY TEST? Carl Pomerance 1984 to Arjen K. Lenstra on the defense of his doctoral thesis Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2014-05-14 13:22:43 Numbers Strong pseudoprime Lucas pseudoprime Primality test Prime number Baillie–PSW primality test Carmichael number Integer factorization Probable prime Pseudoprimes Mathematics Number theory
18	On the range of Carmichael’s universal-exponent function Florian Luca Mathematical Institute UNAM Juriquilla Juriquilla, 76230 Santiago de Quer´etaro Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2013-12-21 18:22:02 Combinatorics Factorial Exponentiation Jurkat–Richert theorem Chebyshev function Mathematics Number theory Arithmetic functions
19	Square values of Euler’s function Carl Pomerance, Dartmouth College based on joint work with Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2013-10-11 15:56:13 Modular arithmetic Analytic number theory Conjectures Riemann hypothesis Divisor function Prime number Twin prime Carmichael number Mathematics Number theory Integer sequences
20	Curriculum Vitae (April 2014 – 12 pages) WILLIAM D. BANKS Department of Mathematics, University of Missouri Add to Reading List Source URL: www.math.missouri.edu Language: English - Date: 2014-04-15 19:13:20 Modular arithmetic Analytic number theory Integer sequences Kloosterman sum Arithmetic function Summation Riemann zeta function Factorial Carmichael number Mathematics Number theory Mathematical analysis

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