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$p$ -adic analytic spaces.

Berkovich, Vladimir G. (1998)

Documenta Mathematica

$p$ -adic cycles

Bernard Dwork (1969)

Publications Mathématiques de l'IHÉS

$p$ -adic Differential Operators on Automorphic Forms on Unitary Groups

Ellen E. Eischen (2012)

Annales de l’institut Fourier

The goal of this paper is to study certain $p$ -adic differential operators on automorphic forms on $U (n, n)$ . These operators are a generalization to the higher-dimensional, vector-valued situation of the $p$ -adic differential operators constructed for Hilbert modular forms by N. Katz. They are a generalization to the $p$ -adic case of the $C^{\infty}$ -differential operators first studied by H. Maass and later studied extensively by M. Harris and G. Shimura. The operators should be useful in the construction of certain $p$ -adic...

$p$ -adic dynamical systems and formal groups

Hua-Chieh Li (1996)

Compositio Mathematica

$p$ -adic estimates for exponential sums and the theorem of Chevalley-Warning

Alan Adolphson, Steven Sperber (1987)

Annales scientifiques de l'École Normale Supérieure

$p$ -adic etale cohomology

Spencer Bloch, Kazuya Kato (1986)

Publications Mathématiques de l'IHÉS

$p$ -adic Fourier theory.

Schneider, P., Teitelbaum, J. (2001)

Documenta Mathematica

$p$ -adic heights for semi-stable abelian varieties

John W. Jones (1990)

Compositio Mathematica

$p$ -adic Hodge theory in the semi-stable reduction case.

Tsuji, Takeshi (1998)

Documenta Mathematica

$p$ -adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups

John L. Boxall (1986)

Annales de l'institut Fourier

The purpose of this paper is to generalize, to certain commutative formal groups of dimension one and height greater than one defined over the ring of integers of a finite extension of $Q_{p}$ , some results on $p$ -adic interpolation developed by Kubota, Leopoldt, Iwasawa, Mazur, Katz and others notably for the multiplicative group ${\hat{G}}_{m}$ , and which they used to construct $p$ -adic $L$ -functions.