The sup-norm problem for GL(2) over number fields
The sup-norm problem for GL(2) over number fields
We solve the sup-norm problem for spherical Hecke–Maaß newforms of square-free level for the group GL(2) over a number field, with a power saving over the local geometric bound simultaneously in the eigenvalue and the level aspect. Our bounds feature a Weyl-type exponent in the level aspect, they reproduce or …