The Artin Symbol as a Canonical Capitulation Map

The asymptotic distribution of Frobenius numbers

The asymptotic distribution of the largest prime divisor

The asymptotic growth of torsion homology for arithmetic groups

The asymptotic representation of some series and the Riemann hypothesis

The asymptotics for the number of real roots of the Bernoulli polynomials

The Automorphism Groups of a Family of Maximal Curves

The average analytic rank of elliptic curves

The average least character nonresidue and further variations on a theme of Erdos

The average length of a trajectory in a certain billiard in a flat two-torus

The average number of solutions of the Diophantine equation U^2 + V^2 = W^3 and related arithmetic functions

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