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Displaying 1 – 20 of 141

A Dimension Formular for a Certain Space of Automorphic Forms of SU (p,1).

Suehiro Kato (1984)

Mathematische Annalen

A note on automorphic forms.

Koichi Takase (1990)

Journal für die reine und angewandte Mathematik

A Note on Link Complements and Arithmetic Groups.

Joachim Schwermer (1980)

Mathematische Annalen

A $p$ -adic measure attached to the zeta functions associated with two elliptic modular forms. II

Haruzo Hida (1988)

Annales de l'institut Fourier

Let $f = \sum_{n = 1}^{\infty} a (n) q^{n}$ and $g = \sum_{n = 1}^{\infty} b (n) q^{n}$ be holomorphic common eigenforms of all Hecke operators for the congruence subgroup $Γ_{0} (N)$ of $S L_{2} (Z)$ with “Nebentypus” character $ψ$ and $ξ$ and of weight $k$ and $ℓ$ , respectively. Define the Rankin product of $f$ and $g$ by $𝒟_{N} (s, f, g) = (\sum_{n = 1}^{\infty} ψ ξ (n) n^{k + ℓ - 2 s - 2}) (\sum_{n = 1}^{\infty} a (n) b (n) n^{- s}) .$ Supposing $f$ and $g$ to be ordinary at a prime $p \geq 5$ , we shall construct a $p$ -adically analytic $L$ -function of three variables which interpolate the values $\frac{𝒟_{N} (ℓ + m, f, g)}{π^{ℓ + 2 m + 1} < f, f >}$ for integers $m$ with $0 \leq m < k - 1,$ by regarding all the ingredients $m$ , $f$ and $g$ as variables. Here $⟨ f, f ⟩$ is the Petersson self-inner product of $f$ .

Amenability, Poincaré series and quasiconformal maps.

Curt McMullen (1989)

Inventiones mathematicae

An ...-Result for the Coefficients of Cusp Forms.

R.A. Rankhi (1973)

Mathematische Annalen

Analogs of Δ(z) for triangular Shimura curves

Shujuan Ji (1998)

Acta Arithmetica

We construct analogs of the classical Δ-function for quotients of the upper half plane 𝓗 by certain arithmetic triangle groups Γ coming from quaternion division algebras B. We also establish a relative integrality result concerning modular functions of the form Δ(αz)/Δ(z) for α in B⁺. We give two explicit examples at the end.