2 problems

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Weak $p$ -adic four exponentials conjecture
Let $\mathbb{L}$ be the $\overline{\mathbb{Q}}$ -linear subspace of $\overline{\mathbb{Q}}_p$ generated by $1$ and the $p$ -adic logarithms of nonzero algebraic numbers. Let $N$ be a…
Conjectureopenfour-exponentials p-adic-transcendencearXiv posted 2 days ago
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The Four Exponentials Conjecture
Four Exponentials Conjecture. If $\det(M)=0$ , then the rows or the columns of $M$ are linearly dependent over $\mathbf Q$ .
Conjectureopenfour-exponentials logarithms transcendence-theoryarXiv posted 2 days ago

Weak ppp-adic four exponentials conjecture