RESTRICTIONS OF HILBERT MODULAR FORMS
Keyword(s):
Let Γ ⊂ PSL (2, ℝ) be a discrete and finite covolume subgroup. We suppose that the modular curve [Formula: see text] is "embedded" in a Hilbert modular surface [Formula: see text], where ΓK is the Hilbert modular group associated to a real quadratic field K. We define a sequence of restrictions (ρn)n∈ℕ of Hilbert modular forms for ΓK to modular forms for Γ. We denote by Mk1, k2(ΓK) the space of Hilbert modular forms of weight (k1, k2) for ΓK. We prove that ∑n∈ℕ ∑k1, k2∈ℕ ρn(Mk1, k2(ΓK)) is a subalgebra closed under Rankin–Cohen brackets of the algebra ⊕k∈ℕ Mk(Γ) of modular forms for Γ.
2012 ◽
Vol 88
(9)
◽
pp. 145-148
◽
Keyword(s):
1973 ◽
Vol 25
(4)
◽
pp. 547-555
◽
Keyword(s):
Keyword(s):
Keyword(s):
1977 ◽
pp. 287-323
◽
Keyword(s):
1978 ◽
Vol 19
(2)
◽
pp. 173-197
◽
Keyword(s):
1982 ◽
Vol 19
(6)
◽
pp. 1637-1652
◽
2010 ◽
Vol 06
(07)
◽
pp. 1473-1489
◽