Richard M. Hill

most citedFractional weight multiplier systems on SU(d,1)

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.NT2022

Residual finiteness of extensions of arithmetic subgroups of SU(d,1) with cusps

Richard M. Hill

Let $Γ$ be an arithmetic subgroup of $S U (d, 1)$ with cusps, and let $X_{Γ}$ be the associated locally symmetric space. We prove that if the first inner cohomology group $H^1_!(X_Γ,\ma…

math.NT2022

Modular forms on SU(2,1) with weight $\frac{1}{3}$

Eberhard Freitag, Richard M. Hill

In this note, we describe several new examples of holomorphic modular forms on the group SU(2,1). These forms are distinguished by having weight $\frac{1}{3}$ . We also describe a m…

math.GR2021★ 1 cited

Fractional weight multiplier systems on SU(d,1)

Richard M. Hill

For a class of arithmetic subgroups $Γ$ in SU(d,1) we prove that for every positive integer $n$ there exists a subgroup $Γ_{n}$ of finite index in $Γ$ , which lifts to the $n$ -fold co…

Residual finiteness of extensions of arithmetic subgroups of SU(d,1) with cusps

Modular forms on SU(2,1) with weight 31​

Fractional weight multiplier systems on SU(d,1)

Modular forms on SU(2,1) with weight $\frac{1}{3}$