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Results tagged with nt.number-theory
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user 118961
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
show that $ \frac{\Gamma(\frac{1}{24})\Gamma(\frac{11}{24})}{\Gamma(\frac{5}{24})\Gamma(\fra...
As a consequence of Euler's refection and Gauss's multiplication formulas (mentioned in the Elkies answer), all values $\Gamma(a)$ with $24a\in\mathbb{Z}$ can be expressed algebraically in terms of th …
5
votes
When are some products of gamma functions algebraic numbers?
As a consequence of Euler's reflection and Gauss's multiplication formulas, all values $\Gamma(a)$ with $24a\in\mathbb{Z}$ or $60a\in\mathbb{Z}$ can be expressed algebraically in terms of these values …