A fraction of infinite length whose denominator is a quantity plus a fraction, which latter fraction has a similar denominator, and so on.
- However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory.
- He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.
- In the continued fraction of the square root of an integer the same denominators recur periodically.
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