Marc Technau

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20192026

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math.NT2023

Remark on the Farey fraction spin chain

Marc Technau

In 1999, Kleban and Özlük introduced a `Farey fraction spin chain' and made a conjecture regarding its asymptotic number of states with given energy, the latter being given (up to…

math.NT2023

Galois groups of $(0 n) + (1 n) X + \dots + (6 n) X^{6}$

Benjamin Klahn, Marc Technau

We show that the Galois group of the polynomial in the title is isomorphic to the full symmetric group on six symbols for all but finitely many $n$ . This complements earlier work o…

Remark on the Farey fraction spin chain

Galois groups of (0n​)+(1n​)X+…+(6n​)X6

Galois groups of $(0 n) + (1 n) X + \dots + (6 n) X^{6}$