An introduction to Diophantine approximation. (English) Zbl 0077.04801
Cambridge Tracts in Mathematics and Mathematical Physics. No. 45. Cambridge: At the University Press, x, 166 p. (1957).
MSC:
11Jxx | Diophantine approximation, transcendental number theory |
11-02 | Research exposition (monographs, survey articles) pertaining to number theory |
11Hxx | Geometry of numbers |
11Kxx | Probabilistic theory: distribution modulo \(1\); metric theory of algorithms |
Keywords:
Number TheoryOnline Encyclopedia of Integer Sequences:
Smallest integer q >= 1 such that difference between q*sqrt(2) and the nearest integer is <= 1/n.Decimal expansion of Lagrange(4) = sqrt(1517)/13.
Numbers k(n) used for Cassels’s Markoff forms MF(n) corresponding to the conjectured unique Markoff triples MT(n) with maximal entry m(n) = A002559(n), for n >= 1.
Numbers k(n) used for Markoff forms determining quadratic irrationals with purely periodic continued fractions.
Discriminant a(n) of the indefinite binary quadratic Markoff form m(n)*F_{m(n)}(x, y) with m(n) = A002559(n), for n >= 1.