Marc Technau

activity

20152026

most citedModular hyperbolas and Beatty sequences

7 citations · 27 across the 14 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

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…

math.NT2023

On restricted averages of Dedekind sums

Paolo Minelli, Athanasios Sourmelidis, Marc Technau

We investigate the averages of Dedekind sums over rational numbers in the set $F_{α} (Q) := {v / w \in Q : 0 < w \leq Q} \cap [0, α)$ for fixed $α \leq 1/2$ . In p…

Remark on the Farey fraction spin chain

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

On restricted averages of Dedekind sums

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