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math.NT2025
Gross's conjecture: the dihedral case
Petar Bakić, Aleksander Horawa, Siyan Daniel Li-Huerta +1
Quaternionic modular forms on carry a surprisingly rich arithmetic structure. For example, they have a theory of Fourier expansions where the Fourier coefficients ar…
math.NT2025
Motivic action conjecture for Doi-Naganuma lifts
Aleksander Horawa, Yingkun Li
We prove the motivic action conjecture for the base change to real quadratic fields of weight one newforms with odd, squarefree level and solvable projective image.