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Pseudorandom functions whose asymptotic distributions are asymptotically gaussian

✍ Scribed by Shigeyoshi Ogawa


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
453 KB
Volume
158
Category
Article
ISSN
0022-247X

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Asymptotic Distribution of the Distance
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Let x be a real number in [0, 1], F n be the Farey sequence of order n and \ n (x) be the distance between x and F n . Assuming that n Γ„ we derive the asymptotic distributions of the functions n 2 \ n (x) and n\ n (x$Γ‚n), 0 x$ n. We also establish the asymptotics for 1 0 \ $ n (x) dx, for all real $