Harmonic Differentials and Closed Geodesics on a Riemann Surface.
Hecke eigenforms in the cohomology of congruence subgroups of .
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 -series of automorphic cusp forms of Drinfeld type.
Heights and the central critical values of triple product -functions
Higher order modular forms and mixed Hodge theory
Holomorphy of Eisenstein series at special points and cohomology of arithmetic subgroups of SLn (Q).
Hyperbolic lattice-point counting and modular symbols
For a cocompact group of we fix a real non-zero harmonic -form . We study the asymptotics of the hyperbolic lattice-counting problem for under restrictions imposed by the modular symbols . We prove that the normalized values of the modular symbols, when ordered according to this counting, have a Gaussian distribution.
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields