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arXiv · 1906.03344

Half-integral weight modular forms and real quadratic $p$-rational fields

Jilali Assim·Zakariae Bouazzaoui
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Abstract

Using half-integral weight modular forms we give a criterion for the existence of real quadratic $p$-rational fields. For $p=5$ we prove the existence of infinitely many real quadratic $p$-rational fields.

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Jilali Assim, Zakariae Bouazzaoui. 2019-06-07. Half-integral weight modular forms and real quadratic $p$-rational fields. https://arxiv.org/abs/1906.03344

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