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$p$ -adic analysis and Bell numbers of two variables. (Analyse $p$ -adique et nombres de Bell à deux variables.)

Mazouz, Abdelhak (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

$p$ -adic chaos and random number generation.

Woodcock, Christopher F., Smart, Nigel P. (1998)

Experimental Mathematics

$p$ -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.

$p$ -adic interpolation of special values of Hecke L-functions

Pierre Colmez, Leila Schneps (1992)

Compositio Mathematica

$p$ -adic $L$ -functions of Hilbert modular forms

Andrzej Dabrowski (1994)

Annales de l'institut Fourier

We construct $p$ -adic $L$ -functions (in general case unbounded) attached to “motivic" primitive Hilbert cusp forms as a non-archimedean Mellin transform of the corresponding admissible measure. In order to prove the growth conditions of the appropriate complex-valued distributions we represent them as Rankin type representation and use Atkin–Lehner theory and explicit form of Fourier coefficients of Eisenstein series.