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Displaying similar documents to “On the circle problem with polynomial weight”

On the irrationality measure of ζ ( 2 )

Georges Rhin, Carlo Viola (1993)

Annales de l'institut Fourier

Similarity:

We prove that 7. 398 537 is an irrationality measure of ζ ( 2 ) = π 2 / 6 . We employ double integrals of suitable rational functions invariant under a group of birational transformations of 2 . The numerical results are obtained with the aid of a semi-infinite linear programming method.