We prove Deligne's conjecture for symmetric fourth $L$-functions of Hilbert modular forms. We extend the result of Morimoto based on generalization and refinement of the results of Grobner and Lin to cohomological irreducible essentially conjugate self-dual cuspidal automorphic representations of ${\rm GL}_2$ and ${\rm GL}_3$ over CM-fields.
Iwasawa Theory of Hilbert modular forms for anticyclotomic extension
Equidistribution of signs for Hilbert modular forms of half-integral weight
Deligne's conjecture for automorphic motives over CM-fields, Part I: factorization
![QR code for arXiv:2101.07507 [math.NT]](http://oss.arxitics.com/images/favicon.svg)