Talk:Arithmetic Fuchsian group

TODO on this page:


 * description of maximal subgroups


 * add numerical experiments on the Laplace spectrum of the modular surface (Sarnak, Arithmetic quantum chaos)


 * some pages that are linked as "Main article" are not much more developed than the sections here (in particular Selberg's 1/4 conjecture and Quantum ergodicity, they should enhanced (possibly moving the content of this page there)


 * add more applications to number theory


 * add a section on Takeuchi's arithmeticity criterion and classification of arithmetic triangle groups

jraimbau 10:15, 21 June 2016 (UTC) — Preceding unsigned comment added by Jean Raimbault (talk • contribs)

Is this wrong?
The section Isospectral surfaces contains this sentence:

"Vignéras then constructed explicit instances for $$A, \mathcal O_1, \mathcal O_2$$ satisfying the conditions above and such that in addition $$\mathcal O_2$$ is not conjugated by an element of $$A$$ to $$\mathcal O_2.$$"

Can we assume that the last instance of "$$\mathcal O_2.$$" should actually be "$$\mathcal O_1.$$'"? 2601:200:C000:1A0:90E6:F29F:F511:B9ED (talk) 20:00, 8 June 2021 (UTC)


 * Thanks for noticing this, i fixed it. jraimbau (talk) 13:00, 9 June 2021 (UTC)