Sequences related to convergents to square root of rationals

Details Sequences related to convergents to square root of rationals Sequences related to convergents to square root of rationals

2003-05-19

arxiv.org/abs/math/0305270v3

Mathematics

Number Theory

V3 Added two paragraphs on Newton's iteration algorithm

Scientific paper

In this note we study some sequences whose ratio converges to the square root
of rationals. Further we analyze some related sequences obtained when the above
mentioned ratio simplifies.

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