A Classical Diophantine Problem and Modular Forms of Weight 3/2.
A counterexample in the theory of local zeta functions.
A Gauss-Bonnet theorem for motivic cohomology.
A motivic Chebotarev density theorem.
A new construction of -adic -functions attached to certain elliptic curves with complex multiplication
In this paper we apply the results of our previous article on the -adic interpolation of logarithmic derivatives of formal groups to the construction of -adic -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.
A note on functional equations for zeta functions with values in Chow motives
We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the –structure of this ring, we deduce a functional equation for the zeta function of abelian varieties. Furthermore, we show that the property of having a rational zeta function satisfying a functional equation is preserved under products.
A Note on Height Pairings, Tamagawa Numbers, and the Birch and Swinnerton-Dyer Conjecture.
A remark on a theorem of Chowla-Cowles.
A Remark on the Sato-Tate Conjecture.
Abelian varieties-Galois representation and properties of ordinary reduction
Absolute derivations and zeta functions.
Algebraic cycles and values of L-functions.
Algebraische Zyklen auf Hilbert-Blumenthal-Flächen.
An analogue of the Weierstrass ζ-function in characteristic p
An explicit factorisation of the zeta functions of Dwork hypersurfaces
Another Look at p-Adic L-Functions for Totally Real Fields.
Arithmétique des courbes elliptiques et théorie d'Iwasawa