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Topic: Logarithmic integral function

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	Mathematics Tutorials and Problems (with applets)
		Calculus Tutorials and Problems and Questions with answers on topics such as limits, derivatives, integrals, natural logarithm, runge kutta method in differential equations, the mean value theorem and the use of differentiation and integration rules are also included.
		Trigonometry Tutorials and Problems for Self Tests on sine, cosine, tangent, secant functions, trigonometric identities and formulas are also included.
		Unit Circle And The Trigonometric Functions sin(x), cos(x) and tan(x)
	www.analyzemath.com (460 words)

	List of mathematical functions - Wikipedia, the free encyclopedia
		Transcendental functions are functions that are not algebraic.
		Power function: raises a variable number to a fixed power; also known as Allometric function; note: if the power is a rational number it is not strictly a transcendental function.
		Logarithmic integral function: Integral of the reciprocal of the logarithm, important in the prime number theorem.
	www.sciencedaily.com /encyclopedia/list_of_mathematical_functions (984 words)

	Prime number theorem - LearnThis.Info Enclyclopedia (Site not responding. Last check: 2007-10-09)
		This notation means that the limit of the quotient of the two functions π(x) and x/ln(x) as x approaches infinity is 1; it does not mean that the limit of the difference of the two functions as x approaches infinity is zero.
		The theorem was conjectured by Adrien-Marie Legendre in 1798 and proved independently by Hadamard and de la Vallée Poussin in 1896.
		Because of the connection between the Riemann zeta function and π(x), the Riemann hypothesis has considerable importance in number theory: if established, it would yield a far better estimate of the error involved in the prime number theorem than is available today.
	encyclopedia.learnthis.info /p/pr/prime_number_theorem.html (325 words)

	Prime number - Wikipedia, the free encyclopedia
		The value of the Riemann zeta function at each point in the complex plane is given by a product over the set of all primes.
		This is an integral domain, and its prime elements are the Gaussian primes.
		With this definition, the primes of the field Q of rational numbers are represented by the standard absolute value function (known as the "infinite prime") as well as by the p-adic valuations on Q, for every prime number p.
	en.wikipedia.org /wiki/Prime_number (4315 words)

	Primes, the zeta function and 'Li'
		The mental image seemed to imply a sort of evolutionary process in which the prime numbers were seen to be moving particles in a 1-dimensional continuum, eventually coming to rest when they collectively achieved the dynanical equilibrium of their familiar configuration.
		Weisstein's Mathworld generated from the modulus of the Riemann zeta function.
		Woon has deduced from this that the zeta function is in some sense a fractal object.
	www.secamlocal.ex.ac.uk /people/staff/mrwatkin/zeta/NTli.htm (2033 words)

	Integrals - EqWorld (Site not responding. Last check: 2007-10-09)
		Integrals with square root of ax + b and px + q
		Integrals with square root of ax + b and square root of px + q
		Indefinite integrals with trigonometric functions - from S.O.S. Mathematics (http://www.sosmath.com/tables/tables.html):
	eqworld.ipmnet.ru /en/auxiliary/aux-integrals.htm (159 words)

	LogIntegral - Wolfram Mathematica
		Error and Exponential Integral FunctionsNumber Theoretic FunctionsNumber TheoryPrime NumbersSpecial Functions
		Mathematical function, suitable for both symbolic and numerical manipulation.
		LogIntegral[z] has a branch cut discontinuity in the complex z plane running from
	reference.wolfram.com /mathematica/ref/LogIntegral.html (68 words)

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