The universal Kolyvagin recursion implies the Kolyvagin recursion

The universal Kummer congruences

The universal thickening of the field of real numbers

The universality of symmetric power L-functions and their Rankin-Selberg L-functions

The unramified Brauer group of norm one tori

The unreasonable effectiveness of the tensor product

The Unreasonable Effectualness of Continued Function Expansions

The valuation criterion for normal basis generators

The variance of arithmetic measures associated to closed geodesics on the modular surface

The variance of the number of prime polynomials in short intervals and in residue classes

The Weierstrass subgroup of a curve has maximal rank

The weight distributions of a class of cyclic codes

The weight in a Serre-type conjecture for tame n-dimensional Galois representations

The Weil group of a hyper-class formation

The Weil proof and the geometry of the adeles class space

The Weil representation and Hecke operators for vector valued modular forms

The Weil Representations of the Jacobi Group

The Weil-étale fundamental group of a number field I

The Weil-étale fundamental group of a number field II

The Weil-Etale Topology for Number Rings