Expository article deriving explicit expressions for Gamma(p/q) from Beta function values identified as Kontsevich-Zagier periods.
Waldschmidt,Transcendence of Periods: The State of the Art, Pure and Applied Mathematics Quarterly, 2(2) (2006), 435–463
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Computing Gamma(p/q) with Beta function values
Expository article deriving explicit expressions for Gamma(p/q) from Beta function values identified as Kontsevich-Zagier periods.