Hausdorff dimension of sets arising in number theory.- Applications of Padé approximations to diophantine inequalities in values of G-functions.- Applications of Padé approximations to the Grothendieck conjecture on linear differential equations.- Klein's paradox, the icosahedron, and ring class fields.- Transcendental numbers and partial differential equations.- A classical approach to a well-known spectral correspondence on quaternion groups.- On surfaces associated with an indefinite ternary lattice.- Modular integrals on ?o(N) and dirichlet series with functional equations.- Trigonometric polynomials and sums of squares.- On the number of points on certain curves and an uncertainty principle.- The brauer group of the product of two curves over a finite field.