A counterexample in the theory of local zeta functions.
A Gauss-Bonnet theorem for motivic cohomology.
A Generalization of Kummer's Criterion.
A Kummer criterion for imaginary quadratic fields
A mean value theorem for the square of class number times regulator of quadratic extensions
Let be a number field. In this paper, we give a formula for the mean value of the square of class number times regulator for certain families of quadratic extensions of characterized by finitely many local conditions. We approach this by using the theory of the zeta function associated with the space of pairs of quaternion algebras. We also prove an asymptotic formula of the correlation coefficient for class number times regulator of certain families of quadratic extensions.
A new approach to -Bernoulli numbers and -Bernoulli polynomials related to -Bernstein polynomials.
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 new -analogue of Bernoulli polynomials associated with -adic -integrals.
A p-adic integral representation of the p-adic L-function.
A Rankin-Selberg integral for the adjoint representation of GL3.
Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions.
Algèbre d'Iwasawa
An application of the p-adic class number formula.
An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves.
An extension of -zeta function.
Analogues -adiques de certaines fonctions arithmétiques
Analysis on arithmetic schemes. I.
Another Look at p-Adic L-Functions for Totally Real Fields.
Anti-cyclotomic Katz -adic -functions and congruence modules
Applications arithmétiques de l'étude des valeurs aux entiers négatifs des séries de Dirichlet associées à un polynôme
Nous étudions les fonctions -adiques associées à des séries du typedans certains cas, où elles admettent un prolongement méromorphe à avec un nombre fini de pôles et des valeurs aux entiers négatifs algébriques. On retrouve comme cas particulier les fonctions -adiques des corps totalement réels et les fonctions -multiples -adiques.