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   Galois families of modular forms and application to weight one; ; Wiese, Gabor  in Israel Journal of Mathematics (2021), 244 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 the rational field. We ... [more ▼] 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 the rational field. We exhibit some examples and provide an infinite Galois family of non-liftable weight one Katz modular eigenforms over an algebraic closure of F_p for p in {3,5,7,11}. [less ▲] Detailed reference viewed: 158 (4 UL)Algebraic Number Theory (Lecture Notes); Wiese, Gabor Learning material (2016) These are lecture notes for the course Algebraic Number Theory taught in the Master in Mathematics and Master in Secondary Education at the University of Luxembourg. Detailed reference viewed: 43 (5 UL) |
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