An algebro-geometric study of special values of hypergeometric functions {}₃F₂
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algebro-geometricfunctionsgivehypergeometricspecialalgebraiccertainclass
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For certain class of hypergeometric functions ${}_3F_2$ with rational parameters, we give a sufficient condition for the special value at $1$ to be expressed in terms of logarithms of algebraic numbers. We give two proofs, both of which are algebro-geometric and related to higher regulators.
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