On the abc conjecture and diophantine approximation by rational points

On the action of algebraic correspondences on weight spectral sequences

On the action of the Weil group on the l-adic cohomology of rigid spaces over local fields

On the adjoint L-function of the p-adic GSp(4)

On the AF-algebra of a Hecke eigenform

On the alternating sums of powers of consecutive q-integers

On the analogs of Euler numbers and polynomials associated with p-adic integrals on the rings of p-adic integers at q=-1

On the Andre-Oort conjecture for Hilbert modular surfaces

On the appearance of Eisenstein series through degeneration

On the Applications of Cyclotomic Fields in Introductory Number Theory

On the approximation of the values of exponential function and logarithm by algebraic numbers

On the Arakelov theory of elliptic curves

On the arithmetic and geometry of binary Hamiltonian forms

On the Arithmetic Fundamental Lemma in the minuscule case

On the arithmetic Galois covers of higher relative dimensions

On the arithmetic of certain modular curves

On the arithmetic of Shalika models and the critical values of L-functions for GL(2n)

On the arithmetic of twists of superelliptic curves

On the arithmetic properties of complex values of Hecke-Mahler series

On the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces