The tri-pentagonal number theorem and related identities

The triangular theorem of eight and representation by quadratic polynomials

The true order of the riemann zeta--function

The twisted fourth moment of the Riemann zeta function

The twisted symmetric square $L$-function of $GL(r)$

The twisting representation of the $L$-function of a curve

The two dimensional distribution of values of $ζ(1+it)$

The u-invariant of the function fields of p-adic curves

The uniform primality conjecture for elliptic curves

The Uniform Primality Conjecture for the Twisted Fermat Cubic

The unipotent Albanese map and Selmer varieties for curves

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