Real zeros of the Dedekind zeta function of an imaginary quadratic field
Regulators and Iwasawa Modules.
Regulators and total positivity.
[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Relations between the values of zeta and L-functions at integral arguments
Remarks on Weil’s quadratic functional in the theory of prime numbers, I
This Memoir studies Weil’s well-known Explicit Formula in the theory of prime numbers and its associated quadratic functional, which is positive semidefinite if and only if the Riemann Hypothesis is true. We prove that this quadratic functional attains its minimum in the unit ball of the -space of functions with support in a given interval , and prove again Yoshida’s theorem that it is positive definite if is sufficiently small. The Fourier transform of the functional gives rise to a quadratic...
Répartition modulo 1 dans un corps de séries formelles sur un corps fini [Book]
Riesz potentials and explicit sums in arithmetic.