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A note on Beukers’ integral. (English) Zbl 0830.11026
The main result of this paper is the proof that $$\pi^2$$ has an irrationality measure less than 6,3489. The last result was 7,325. The proof is based on expansions of so-called Beuker’s integrals.
Reviewer: J.Hančl (Ostrava)

##### MSC:
 11J82 Measures of irrationality and of transcendence
##### Keywords:
$$\pi^ 2$$; irrationality measure; Beuker’s integrals