Tauberian theorems for sum sets
Tetra and Didi, the cosmic spectral twins.
The Adelic Zeta Function Associated to the Space of Binary Cubis Forms. Part I: Global Theory.
The analytic continuation and the order estimate of multiple Dirichlet series
Multiple Dirichlet series of several complex variables are considered. Using the Mellin-Barnes integral formula, we prove the analytic continuation and an upper bound estimate.
The average order of a class of arithmetic functions over arithmetic progressions with applications to quadratic forms.
The Beurling-Nyman criterion for the Riemann hypothesis: numerical aspects. (Le critère de Beurling et Nyman pour l'hypothèse de Riemann: aspects numérique.)
The Bohr inequality for ordinary Dirichlet series
We extend to the setting of Dirichlet series previous results of H. Bohr for Taylor series in one variable, themselves generalized by V. I. Paulsen, G. Popescu and D. Singh or extended to several variables by L. Aizenberg, R. P. Boas and D. Khavinson. We show in particular that, if with , then and even slightly better, and , C being an absolute constant.
The class number one problem for the non-abelian normal CM-fields of degree 16
The Connection between the Zeros of the ...-Function and Sequences (g(p)), p Prime, mod 1.
The critical values of certain Dirichlet series.
The cubic moment of central values of automorphic -functions.
The derivative of p-adic L-functions
The determinant of the Laplacian on the n-sphere
The Dirichlet series of : On an error term associated with its coefficients
The distribution and moments of the error term in the Dirichlet divisor problem
The Distribution of Farey Points.
The distribution of zeros of Epstein zeta functions over GLₙ
The duality of cusp singularities.
The Euler characteristic of the moduli space of curves.
The first moment of quadratic Dirichlet L-functions