English

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

Number Theory 2019-06-11 v1

Abstract

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

Keywords

Cite

@article{arxiv.1906.03344,
  title  = {Half-integral weight modular forms and real quadratic $p$-rational fields},
  author = {Jilali Assim and Zakariae Bouazzaoui},
  journal= {arXiv preprint arXiv:1906.03344},
  year   = {2019}
}

Comments

10 pages

R2 v1 2026-06-23T09:47:32.415Z