On the arithmetic of J0 (N) new.
On the Arithmetic of Special Values of L Functions.
On the behavior of Igusa,'s local zeta function in towers of field extension
On the Birch and Swinnerton-Dyer Conjecture.
On the Classification of Commutative Formal Group Laws over p-Hilbert Domains and a Finiteness Theorem for Higher Hasse-Witt Matrices.
On the congruence properties of the zeta function of algebraic varieties.
On the Conjecture of Birch and Swinnerton-Dyer
On the conjecture of Birch and Swinnerton-Dyer for abelian varieties over function fields in characteristic p > 0.
On the conjecture of Lichtenbaum and of Chinburg over function fields.
On the conjectures of Birch and Swinnerton-Dyer and a geometric analog
On the Connected Part of the Covariant Tate p-divisible Group and the ?-function of the Family of Hyperelliptic Curves y2 = 1 + ? xN Modulo Various Primes.
On the continued fractions of quadratic surds
On the critical values of Hecke L-series
On the de Rham and -adic realizations of the elliptic polylogarithm for CM elliptic curves
In this paper, we give an explicit description of the de Rham and -adic polylogarithms for elliptic curves using the Kronecker theta function. In particular, consider an elliptic curve defined over an imaginary quadratic field with complex multiplication by the full ring of integers of . Note that our condition implies that has class number one. Assume in addition that has good reduction above a prime unramified in . In this case, we prove that the specializations of the -adic elliptic...
On the degree of a local zeta function
On the degree of the -function associated with an exponential sum
On the ...-factor attached to motives.
On the Holomorphy on Certain Non-Abelian L-Series.
On the Local Zeta Function of Quaternionic Shimura Varieties with Bad Reduction.
On the number of points on abelian and Jacobian varieties over finite fields
We give upper and lower bounds for the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces.