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Sign patterns of Fourier coefficients of modular forms

Number Theory 2025-12-08 v1

Abstract

We give conditions under which a self-dual holomorphic cusp form is determined up to scalar multiplication by the signs of its Fourier coefficients.

Cite

@article{arxiv.2512.05945,
  title  = {Sign patterns of Fourier coefficients of modular forms},
  author = {Andrew R. Booker},
  journal= {arXiv preprint arXiv:2512.05945},
  year   = {2025}
}

Comments

5 pages