Self-dual normal bases for infinite odd abelian Galois ring extensions
Séries d'Eisenstein et transcendance
SGn of Orders and Group-Rings.
Solution of a generalised version of a problem of Rankin on sums of powers of cusp-form coefficients
Some applications of a non-Archimedean analogue of Descartes' rule of signs
Some estimates in the theory of Dedekind Zeta-functions
Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials.
Some identities of degenerate special polynomials
In this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were introduced by Carlitz, we investigate some properties of mixed-type of those polynomials. In particular, we give some identities of mixed-type degenerate special polynomials which are derived from the fermionic integrals on Zp and the bosonic integrals on Zp.
Some identities on the generalized -Bernoulli numbers and polynomials associated with -Volkenborn integrals.
Some identities on the -Genocchi polynomials of higher-order and -Stirling numbers by the fermionic -adic integral on .
Some Invariants of Zd-p-Extensions.
Some new directions in -adic Hodge theory
We recall some basic constructions from -adic Hodge theory, then describe some recent results in the subject. We chiefly discuss the notion of -pairs, introduced recently by Berger, which provides a natural enlargement of the category of -adic Galois representations. (This enlargement, in a different form, figures in recent work of Colmez, Bellaïche, and Chenevier on trianguline representations.) We also discuss results of Liu that indicate that the formalism of Galois cohomology, including Tate...
Some non-semi-simple Iwasawa modules
Some relationships between the analogs of Euler numbers and polynomials.
Some remarks on the local class field theory of Serre and Hazewinkel
We give a new approach for the local class field theory of Serre and Hazewinkel. We also discuss two-dimensional local class field theory in this framework.
Some results on local fields
Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p−1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.
Some results on p-extensions of local and global fields
Some subregular germs for -adic .
Sommes de carrés
Sommes de Gauss attachées aux caractères quadratiques de petit conducteur