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<p>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.</p>

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Köhler’s conjecture on Hecke theta series of weight one

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • Mahima Kumar,
  • Gabor Wiese

摘要

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.