On the equivariant main conjecture of Iwasawa theory
On the Factorization of p-adic L-series.
On the Functional Equation of the Artin L-Function for Characters of Real Representations.
On the Galois structure of algebraic integers and S-units.
On the logarithmic derivatives of Dirichlet L-functions at s=1
On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products
On the Number of Integral Ideals in Galois Extensions.
On the number of sign changes in the remainder-term of the prime-ideal theorem
On the order of Dedekind Zeta-functions near the line σ = 1
On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters
The family of symmetric powers of an L-function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic points of view. Here we examine one explicit such family from the perspectives of classical analytic number theory and random matrix theory, especially focusing on evidence for the symmetry type of the family. In particular, we investigate the values at the central point and give evidence that this family can be modeled by...
On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes
Lately, explicit upper bounds on (for primitive Dirichlet characters ) taking into account the behaviors of on a given finite set of primes have been obtained. This yields explicit upper bounds on residues of Dedekind zeta functions of abelian number fields taking into account the behavior of small primes, and it as been explained how such bounds yield improvements on lower bounds of relative class numbers of CM-fields whose maximal totally real subfields are abelian. We present here some other...
On the zeros of a class of L-functions
On the zeros of Hecke's L-functions III
On the Zeta Function of Number Fields.
On values of L-functions of totally real algebraic number fields at integers
On Values of Zeta Functions and ?-adic Euler Characteristc.
Orders of quadratic extensions of number fields
Ordre de Bruhat et transfert : le cas réel
-adic Abelian Stark conjectures at
A -adic version of Stark’s Conjecture at is attributed to J.-P. Serre and stated (faultily) in Tate’s book on the Conjecture. Building instead on our previous paper (and work of Rubin) on the complex abelian case, we give a new approach to such a conjecture for real ray-class extensions of totally real number fields. We study the coherence of our -adic conjecture and then formulate some integral refinements, both alone and in combination with its complex analogue. A ‘Weak Combined Refined’ version...
-adic -functions for elliptic curves with complex multiplication I