Köhler's Conjecture on Hecke Theta Series of Weight One
arXiv:2601.05708
Abstract
In this article, we prove a conjecture of Günter Köhler on the ambiguity of the quadratic field in the definition of Hecke theta series by deriving it from a similar statement on two-dimensional Galois representations induced from characters of quadratic fields.
11 pages, v2: minor changes