Abstract
We introduce Galois families of modular forms. They are a new kind of family coming from Galois representations of the absolute Galois groups of rational function fields over ℚ. We exhibit some examples and provide an infinite Galois family of non-liftable weight one Katz modular eigenforms over \(\overline {{\mathbb{F}_p}}\) for p ∈ {3, 5, 7, 11}.
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Arias-de-Reyna, S., Legrand, F. & Wiese, G. Galois families of modular forms and application to weight one. Isr. J. Math. 244, 1–32 (2021). https://doi.org/10.1007/s11856-021-2162-9
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DOI: https://doi.org/10.1007/s11856-021-2162-9