Machiel van Frankenhuijsen

most citedPhase transitions on Hecke C*-algebras and class-field theory over Q

14 citations · 14 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2020

$p$ -adic fractal strings of arbitrary rational dimensions and Cantor strings

Michel L. Lapidus, Hùng Lũ', Machiel van Frankenhuijsen

The local theory of complex dimensions for real and $p$ -adic fractal strings describes oscillations that are intrinsic to the geometry, dynamics and spectrum of archimedean and non…

math.NT2020

Two Restricted ABC Conjectures

Machiel van Frankenhuijsen

Ellenberg proved that the abc conjecture would follow if this conjecture were known for sums $a + b = c$ such that $D ∣ ab c$ for some integer~ $D$ . Mochizuki proved a theorem with an…

math.OA2004★ 14 cited

Phase transitions on Hecke C*-algebras and class-field theory over Q

Marcelo Laca, Machiel van Frankenhuijsen

We associate a canonical Hecke pair of semidirect product groups to the ring inclusion of the algebraic integers $\oo$ in a number field $\kk$, and we construct a C*-dynamical syst…

p-adic fractal strings of arbitrary rational dimensions and Cantor strings

Two Restricted ABC Conjectures

Phase transitions on Hecke C*-algebras and class-field theory over Q

$p$ -adic fractal strings of arbitrary rational dimensions and Cantor strings