Abstract
A natural method to investigate diophantine properties of transcendental (or conjecturally transcendental) constants occurring in various mathematical contexts consists in the search for sequences of good rational approximations, or algebraic approximations with bounded degree, to suitable values of some special transcendental functions, such as the logarithm, or the polylogarithm of order q ≤ 2, or the hypergeometric functions, etc. Traditionally, one employs for this purpose Padé or Padé-type approximations to the functions involved.
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Dedicated to Wolfgang Schmidt on the occasion of his 70th birthday
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Viola, C. (2008). New Irrationality Results for Dilogarithms of Rational Numbers. In: Schlickewei, H.P., Schmidt, K., Tichy, R.F. (eds) Diophantine Approximation. Developments in Mathematics, vol 16. Springer, Vienna. https://doi.org/10.1007/978-3-211-74280-8_23
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DOI: https://doi.org/10.1007/978-3-211-74280-8_23
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