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Topic: Alexander polynomials

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	Knot polynomial -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-29)
		A polynomial representation of a knot is a mapping of the mathematical properties of knots to those of polynomials.
		Technically, an Alexander polynomial is a generator of a principal Alexander ideal related to the homology of the infinitely cyclic cover of a knot complement—where all the emphasised phrases have particular mathematical meanings.
		HOMFLYPT is a binary (two-variable) polynomial, with as with the predecessors.
	www.absoluteastronomy.com /encyclopedia/k/kn/knot_polynomial.htm (1336 words)

	References on Mahler's Measure, Lehmer's Problem, and Salem Numbers (Site not responding. Last check: 2007-10-29)
		On the distribution of the roots of a polynomial with integral coefficients
		On the absolute Mahler measure of polynomials having all zeros in a sector II Math.
		An inequality for the discriminant of a polynomial
	www.cecm.sfu.ca /~mjm/Lehmer/references.html (1253 words)

	knots
		I had hoped to present a simple explanation of various knot polynomials, but I'm not sure that's possible.
		It would be interesting for a computer to crank through all 2-bridge knots with bridges of length 1000 or less, calculate the Alexander, Jones, and HOMFLY polynomials for each, and sort through them for equivalencies.
		For more about knots, try searching on 'Alexander Polynomial'.
	www.mathpuzzle.com /knots.html (418 words)

	Hidden Field Equations public key cryptosystem home page (HFE) (Site not responding. Last check: 2007-10-29)
		It is a public key cryptosystem using polynomial operations over finite fields.
		All of them seem to have about the same subexponential asymptotic complexity, and it seems unlikely to become polynomial.
		Big degree polynomials with little monomials behave the same way as small degree polynomials for the reasons that become obvious if we use normal bases described in [MOV] p.642.
	www.minrank.org /hfe (4586 words)

	Polynomials Store
		Primality Testing in Polynomial Time : From Randomized Algorithms to PRIMES Is in P (Lecture...
		Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics)
		The geometry of the zeros of a polynomial in a complex variable (Mathematical surveys)
	www.mathbook.com /p/Polynomials/index.htm (286 words)

	International Mathematics Olympiad
		inequalities, factorization of a polynomial into a product of irreducible polynomials
		Interactive Mathematics Miscellany and Puzzles maintaned by Alexander Bogomolny (alexb@cut-the-knot.com)
		Inverse Symbolic Calculator When you give this program an approximation to a real number, it will do its best to decide what that number `really' is. In essence, this is a greatly expanded online version of the
	olympiads.win.tue.nl /imo (2157 words)

	The Math Forum - Math Library - History/Biography
		More than 50 "informal notes" by Kevin Brown on algebra.
		Kummer's Objection; irreducibility criteria, multiple linear regression, string algebra, characteristic polynomial of a matrix, iterated means, sums of powers, polynomials from Pascal's Triangle,...more>>
		Math tools (flash cards, a metric converter); games (magic square), and reference pages: biographies, a glossary, the multiplication table, metric conversion factors, and an ask an expert service.
	mathforum.org /library/topics/history (3127 words)

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