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.