The Bailey chain and mock theta functions
The basic stratum of some simple Shimura varieties
The Bateman-Horn constant for $x^3+x+1$
The behavior of Hecke's L-function of real quadratic fields at s=0
The Bernstein center of the category of smooth $W(k)[GL_n(F)]$-modules
The best Diophantine approximations: the phenomenon of degenerate dimension
The big de Rham-Witt complex
The binary Goldbach problem with arithmetic weights attached to one of the variables
The bisequence of approximation coefficients for Gauss-like and Renyi-like maps on the interval
The Bloch-Kato Conjecture and Galois Theory
The Bogomolov conjecture for totally degenerate abelian varieties
The Bouniakowsky conjecture and the density of polynomial roots to prime moduli
The Bowman-Bradley theorem for multiple zeta-star values
The Brauer-Kuroda formula for higher S-class numbers in dihedral extensions of number fields
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields
The Brauer-Manin obstruction on a general diagonal quartic surface
The Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields
The Buzzard-Diamond-Jarvis conjecture for unitary groups
The Cameron-Erdos Conjecture
The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field