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Results tagged with transcendental-number-theory
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user 37644
11
votes
1
answer
539
views
Transcendence of products of certain real algebraic numbers
Let
\begin{equation}
z := \prod_p p^{1/p^2},
\end{equation}
where the product is over all prime numbers $p$, and we always take the positive real root. Is $z$ transcendental or algebraic, or (as I …
- 1,499
9
votes
Unexpected applications of transcendental number theory?
Tools from transcendence theory have been crucial to the most significant recent advances in problems of unlikely intersections. The strategy was first dreamed up by Zannier, I believe, and has been …
- 1,499