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Currently displaying 1 – 7 of 7

Order by Relevance | Title | Year of publication

Legendre type polynomials and irrationality measures.

Masayoshi Hata — 1990

Journal für die reine und angewandte Mathematik

Rational approximations to π and some other numbers

Masayoshi Hata — 1993

Acta Arithmetica

Irrationality measures of the values of hypergeometric functions

Masayoshi Hata — 1992

Acta Arithmetica

Farey fractions and sums over coprime pairs

Masayoshi Hata — 1995

Acta Arithmetica

A new irrationality measure for ζ(3)

Masayoshi Hata — 2000

Acta Arithmetica

Note on the fractional parts of λθⁿ

Masayoshi Hata — 2005

Acta Arithmetica

On continuous functions with no unilateral derivatives

Masayoshi Hata — 1988

Annales de l'institut Fourier

We construct a family of continuous functions on the unit interval which have nowhere a unilateral derivative finite or infinite by using De Rham’s functional equations. Then we show that for any $α$ $\in [0, 1)$ there exists an $f_{α}$ in any Lipschitz class of order less than one such that the set of knot points of $f_{α}$ has a measure $α$ .

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