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arXiv · 2608.29439

The Shimura Lift and Hilbert Modular Forms

Henri Cohen
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Abstract

After recalling basic formulas concerning modular forms of half-integral weight, Gegenbauer polynomials, and Rankin--Cohen brackets, we give four versions of the Shimura lift and several applications to Hilbert modular forms associated to real quadratic fields. We claim no originality, but wanted to collect all the formulas in a single paper.

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Henri Cohen. 2026-08-29. The Shimura Lift and Hilbert Modular Forms. https://arxiv.org/abs/2608.29439

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