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# Search results

11,186 records were found.

## On Zeta Functions and Families of Siegel Modular Forms

Comment: in English and in Russian, 2 figures

## Some new directions in p-adic Hodge theory

Comment: 13 pages; edited notes from plenary talk at Journees Arithmetiques 2007; v2: refereed version

## On proofs of certain combinatorial identities

Comment: 11th International Fibonacci conference proceedings

## Quasi-semi-stable representations

Fix K a p-adic field and denote by G_K its absolute Galois group. Let K_infty be the extension of K obtained by adding (p^n)-th roots of a fixed uniformizer, and G_\infty its absolute Galois group. In this article, we define a class of p-adic torsion representations of G_\infty, named quasi-semi-stable. We prove that these representations are "explicitly" described by a certain category of linear algebra objects. The results of this note should be consider as a first step in the understanding of the structure of quotients of two lattices in a crystalline (resp. semi-stable) Galois representation.

## The twisted fourth moment of the Riemann zeta function

Comment: 28 pages. v2: added references

## The Riemann Zeta-Function and Hecke Congruence Subgroups. II

Comment: 62 pages

## Spectra of alternating Hilbert operators

Comment: 11 pages; corrected typos

## On the p-adic Leopoldt Transform of a power series

In this paper we give a bound for the Iwasawa lambda invariant of an abelian number field attached to the cyclotomic Z_p-extension of that field. We also give some properties of Iwaswa power series attached to p-adic L-functions.

## A Generalization of a Result of Hardy and Littlewood

Comment: 11 pages

Comment: 7 pages