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arXiv · 2601.05708

K\"ohler's Conjecture on Hecke Theta Series of Weight One

Mahima Kumar·Gabor Wiese
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Abstract

In this article, we prove a conjecture of G\"unter K\"ohler 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.

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Mahima Kumar, Gabor Wiese. 2026-01-09. K\"ohler's Conjecture on Hecke Theta Series of Weight One. https://arxiv.org/abs/2601.05708

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