Harmonic analysis in weighted -spaces
Harmonic analysis on semisimple -adic Lie algebras.
Harmonic Differentials and Closed Geodesics on a Riemann Surface.
Harmonic weak Maass-modular grids in higher level cases
We extend Guerzhoy's Maass-modular grids on the full modular group SL₂(ℤ) to congruence subgroups Γ₀(N) and Γ₀⁺(p).
Hasse invariant and group cohomology.
Hauteur des correspondances de Hecke
L’objectif de cet article est de mesurer la complexité arithmétique de la courbe modulaire en fonction du niveau . Pour ce faire, on utilise un morphisme fini (de degré 1 sur son image) de vers une variété fixe et on calcule la hauteur au sens d’Arakelov de l’image de ce morphisme. La hauteur employée est directement reliée à la hauteur de Faltings des courbes elliptiques. On a besoin pour cela de considérer une théorie d’Arakelov pour les faisceaux inversibles hermitiens -singuliers (au...
Hecke eigenforms in the cohomology of congruence subgroups of .
Hecke Eigenforms of Degree Two: Dirichlet Series and Euler Products.
Hecke eigenvalues for real quadratic fields.
Hecke operators and Lambert series.
Hecke operators for GLₙ and buildings
Hecke operators in half-integral weight
In [6], Shimura introduced modular forms of half-integral weight, their Hecke algebras and their relation to integral weight modular forms via the Shimura correspondence. For modular forms of integral weight, Sturm’s bounds give generators of the Hecke algebra as a module. We also have well-known recursion formulae for the operators with prime. It is the purpose of this paper to prove analogous results in the half-integral weight setting. We also give an explicit formula for how operators ...
Hecke operators on de Rham cohomology.
We introduce Hecke operators on de Rham cohomology of compact oriented manifolds. When the manifold is a quotient of a Hermitian symmetric domain, we prove that certain types of such operators are compatible with the usual Hecke operators on automorphic forms.
Hecke Operators on ... (m).
Hecke operators on the -analogue of group cohomology.
Hecke operators on theta series attached to lattices of arbitrary rank
Heegner cycles, modular forms and jacobi forms
We give a geometric interpretation of an arithmetic rule to generate explicit formulas for the Fourier coefficients of elliptic modular forms and their associated Jacobi forms. We discuss applications of these formulas and derive as an example a criterion similar to Tunnel's criterion for a number to be a congruent number.
Heegner points and derivatives of L-series.
Heegner Points and Derivatives of L-Series. II.
Heegner points and -series of automorphic cusp forms of Drinfeld type.