On the rationality of periods of primitive forms
On the Real Points of an Arithmetic Quotient of a Bounded Symmetrie Domain.
On the reducibility type of trinomials
On the reduction of abelian varieties
On the reduction of the Hilbert-Blumenthal-moduli scheme with ...(p)-level structure.
On the Resolution of Cusp Singularities and the Shintani Decomposition in Totally Real Cubic Number Fields.
On the Shafarevich-Tate group of the jacobian of a quotient of the Fermat curvature.
On the Shintani zeta function for the space of binary quadratic forms.
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