Abstract
Most of this lecture will be devoted to the investigation of the arithmetic nature of the numbers β(a,b) for rational numbers a and b. We consider the transcendence, algebraic independence and linear independence of numbers related to the gamma and beta functions, as well as some associated quantitative results.
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Waldschmidt, M. (1982). Diophantine Properties of the Periods of the Fermat Curve. In: Koblitz, N. (eds) Number Theory Related to Fermat’s Last Theorem. Progress in Mathematics, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6699-5_6
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DOI: https://doi.org/10.1007/978-1-4899-6699-5_6
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