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11-XX Number theory
11Fxx Discontinuous groups and automorphic forms

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Displaying 41 – 53 of 53

Holomorphic Siegel Modular Forms Associated to SO(n, 1).

Stephen S. Kudla (1981)

Mathematische Annalen

Holomorphy of Eisenstein series at special points and cohomology of arithmetic subgroups of SLn (Q).

Joachim Schwermer (1986)

Journal für die reine und angewandte Mathematik

Homogénéité de certaines distributions sur les groupes $p$ -adiques

Jean-Louis Waldspurger (1995)

Publications Mathématiques de l'IHÉS

How to compute the coefficients of the elliptic modular function $j (z)$ .

Baier, Harald, Köhler, Günter (2003)

Experimental Mathematics

Hybrid sup-norm bounds for Hecke–Maass cusp forms

Nicolas Templier (2015)

Journal of the European Mathematical Society

Let $f$ be a Hecke–Maass cusp form of eigenvalue $λ$ and square-free level $N$ . Normalize the hyperbolic measure such that $vol (Y_{0} (N)) = 1$ and the form $f$ such that ${∥ f ∥}_{2} = 1$ . It is shown that ${∥ f ∥}_{\infty} ≪_{ϵ} λ^{\frac{5}{24} + ϵ} N^{\frac{1}{3} + ϵ}$ for all $ϵ > 0$ . This generalizes simultaneously the current best bounds in the eigenvalue and level aspects.

Hyperbolic distribution problems and half-integral weigth Maass forms.

W. Duke (1988)

Inventiones mathematicae

Hyperbolic lattice-point counting and modular symbols

Yiannis N. Petridis, Morten S. Risager (2009)

Journal de Théorie des Nombres de Bordeaux

For a cocompact group $Γ$ of ${SL}_{2} (ℝ)$ we fix a real non-zero harmonic $1$ -form $α$ . We study the asymptotics of the hyperbolic lattice-counting problem for $Γ$ under restrictions imposed by the modular symbols $〈γ, α〉$ . We prove that the normalized values of the modular symbols, when ordered according to this counting, have a Gaussian distribution.

Hyperbolic Lie Algebras and Quasi-Regular Cusps on Hilbert Modular Surfaces.

James Lepowsky, Robert V. Moody (1979)

Mathematische Annalen

Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields

J. E. Cremona (1984)

Compositio Mathematica

Hyperelliptic modular curves

Andrew P. Ogg (1974)

Bulletin de la Société Mathématique de France

Hyperelliptic modular curves $X *_{0} (N)$

Yuji Hasegawa (1997)

Acta Arithmetica

Hyperelliptic modular curves X₀*(N) with square-free levels

Yuji Hasegawa, Ki-ichiro Hashimoto (1996)

Acta Arithmetica

Hypothèse de Riemann et formes automorphes de Maass

Henri COHEN (1979/1980)

Seminaire de Théorie des Nombres de Bordeaux

Currently displaying 41 – 53 of 53

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