On the Siegel modular function field of degree three
On the solutions of certain diagonal quadratic equations and Lang's conjecture
On the space of Shottky-Mumford curves
On the square root of special values of certain L-series.
On the Tate constant
On the Tate constant
On the torsion subgroups of elliptic curves over totally real fields.
On the value set of small families of polynomials over a finite field, II
We obtain an estimate on the average cardinality (d,s,a) of the value set of any family of monic polynomials in of degree d for which s consecutive coefficients are fixed. Our estimate asserts that , where . We also prove that , where ₂(d,s,a) is the average second moment of the value set cardinalities for any family of monic polynomials of of degree d with s consecutive coefficients fixed as above. Finally, we show that , where ₂(d,0) denotes the average second moment for all monic polynomials...
On the values of the zeta function of a variety over a finite field
On the zeta function of a complete intersection
On the zeta function of a hypersurface
On the zeta function of monodromy of a polynomial map
On the -factors of motives. II.
On torsion in J₁(N)
On torsion in J₁(N), II
On two theorems for flat, affine group schemes over a discrete valuation ring
We include short and elementary proofs of two theorems that characterize reductive group schemes over a discrete valuation ring, in a slightly more general context.
On two types of complete discrete valuation fields
On unit solutions of the equation xyz = x+y+z in the ring of integers of a quadratic field
On universal elliptic curves over Igusa curves.
On unlikely intersections of complex varieties with tori