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Author

Marco Aymone

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Preprint Sep 2026

Quantitative linear independence for square roots

We consider the problem of finding lower bounds for integer linear combinations of $\sqrt{a_1},\ldots,\sqrt{a_K}$, where $a_1,\ldots,a_K$ are positive integers such that their square roots are linearly independent over the rationals. We use a probabilistic approach and prove that for $K\geq 8$ and nonzero integers $m_1...

Marco Aymone, Samuel Figueredo, Siddharth Iyer et al. · 0 citations
Preprint Sep 2026

Quantitative linear independence for square roots

We consider the problem of finding lower bounds for integer linear combinations of $\sqrt{a_1},\ldots,\sqrt{a_K}$, where $a_1,\ldots,a_K$ are positive integers such that their square roots are linearly independent over the rationals. We use a probabilistic approach and prove that for any integers $m_1,\ldots,m_K$, not...

Marco Aymone, Samuel Figueredo, Christian Táfula · 0 citations

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