M. Larsen

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20242026

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math.NT2026

Robust additive bases without minimal subbases

Daniel Larsen, Michael Larsen

There exists a set $A$ of positive integers such that the number of representations of a large positive integer $m$ as a sum of two elements of $A$ grows with a lower bound of orde…

math.NT2024

On tamely ramified infinite Galois extensions

Farshid Hajir, Michael Larsen, Christian Maire +1

For a number field $K$ , we consider $K^{ta}$ the maximal tamely ramified algebraic extension of~ $K$ , and its Galois group $G_{K}^{ta} = G a l (K^{t a} / K)$ . Choose a prime $p$ such…