The first non-vanishing quadratic twist of an automorphic L-series

The first two cohomology groups of some Galois groups

The fluctuations in the number of points of smooth plane curves over finite fields

The fluctuations in the number of points on a hyperelliptic curve over a finite field

The formulas of coefficients of sum and product of p-adic integers with applications to Witt vectors

The fourth moment of Dirichlet $L$-functions

The fourth moment of Dirichlet L-functions

The fourth moment of the zeta-function

The fourth moment of ζ^{'}(ρ)

The fractal dimension of the Riemann zeta zeros

The fractional Galois ideal for arbitrary order of vanishing

The Frobenius and monodromy operators for curves and abelian varieties

The Frobenius problem, rational polytopes, and Fourier-Dedekind Sums

The Frobenius vector of a free affine semigroup

The functional equation for the twisted spinor L-series of genus 2

The fundamental theorem of complex multiplication

The Fundamental Theorem of prehomogeneous vector spaces modulo $p^m$. With an appendix "L-functions of prehomogeneous vector spaces" by Fumihiro Sato

The Galois module structure of l-adic realizations of Picard 1-motives and applications

The Galois structure of ambiguous ideals in cyclic extensions of degree 8

The Gauss higher relative class number problem