PreprintCC BY 4.0arXiv
The Shimura Lift and Hilbert Modular Forms
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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BibTeX
@misc{cohen2026shimura,
title = {{The Shimura Lift and Hilbert Modular Forms}},
author = {Henri Cohen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.29439},
eprint = {2608.29439},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29439},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Shimura Lift and Hilbert Modular Forms
AU - Henri Cohen
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2608.29439
UR - https://arxiv.org/abs/2608.29439
AB - 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.
ER -