What does CF stand for?

x any real number) Continued fractions (a) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (b) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (c) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] We shall investigate this very special number e further in coming issues of AMT.

Articles are grouped in sections on arithmetic, primes, irrationality and continued fractions, sums of squares and polygonal numbers, Fibonacci numbers, number-theoretic functions, and elliptic curves, cubes, and Fermat's last theorem.

It is interesting to observe that we are led quite naturally to consider a cyclic version of continuants, as they are usually introduced for continued fractions (see Graham et al.

Advanced topics include continued fractions, Pells equation, and the Gaussian primes.

Along with traditional content they include material rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration and continued fractions.

For further investigation There is some appeal in looking for continued fractions which have a simple form.

The former are amenable to Flajolet's theory of continued fractions [11].

In a clever and logical system that builds from previous knowledge, this covers such core topics as divisibility and primes, congruences, cryptography, and quadratic residues, then addresses arithmetic functions, large primes, continued fractions, and diophantine equations, closing with advanced topics such as analytic number theory, elliptic curves, and the relationship between logic and number theory.