Jimi Truelsen: Mass equidistribution of Eisenstein series on GL(2)
Jimi Truelsen, Cambridge
Tid: Må 2009-11-23 kl 11.15 - 12.15
Plats: Room Å11167, the Ångström laboratory, Uppsala university
Kontakt:
Denis G Gaidashev
We consider the Eisenstein series E(g, s, χ) on GL(2, A), where A is the adele ring of a number field. We prove (quantitatively) that the measure |E(g, ½ + it, χ)|² dµ becomes equidistributed in the limit t → ∞. Here dµ is the measure derived from the Haar
measure on GL(2, A). This generalizes previous results due to W. Luo and P. Sarnak and S. Koyama.
The work is joint with C. M. Sorensen.