A note on the -adic Galois representations attached to Hilbert modular forms.
A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form
Let be a normalized primitive holomorphic cusp form of even integral weight for the full modular group , and denote its th Fourier coefficient by . We consider the hybrid problem of quadratic forms with prime variables and Hecke eigenvalues of normalized primitive holomorphic cusp forms, which generalizes the result of D. Y. Zhang, Y. N. Wang (2017).
A Remark on the Hilbert Modular Forms of Weight l.
A Siegel modular 3-fold that is a Picard modular 3-fold
Algebraische Zyklen auf Hilbert-Blumenthal-Flächen.
Announcement of errors in "The Eichler Commutation Relation for theta series with spherical harmonics" (Acta Arith. 63 (1993), 233-254)
Anticyclotomic main conjectures.
Arithmetic cycles on Picard modular surfaces and modular forms of Nebentypus.
Arithmetic Hilbert modular functions (II).
The purpose of this paper, which is a continuation of [2, 3], is to prove further results about arithmetic modular forms and functions. In particular we shall demonstrate here a q-expansion principle which will be useful in proving a reciprocity law for special values of arithmetic Hilbert modular functions, of which the classical results on complex multiplication are a special case. The main feature of our treatment is, perhaps, its independence of the theory of abelian varieties.
Automorphic Forms on Covering Groups of GL(2).