Abstract.In this work, we applied the Newton method in the p-adic case to calculate the cubic root of a p-adic number a∈ ℚ p ∗ where 𝑝 is a prime number, and through the calculation of the ...

p-Adic Differential Equations: Differential equations formulated in the context of p-adic analysis, where the underlying number field is endowed with a non-Archimedean valuation.

James Ax, Simon Kochen, Diophantine Problems Over Local Fields II. A Complete Set of Axioms for p-Adic Number Theory, American Journal of Mathematics, Vol. 87, No. 3 (Jul., 1965), pp. 631-648 ...

The conference will report on various aspects of the rapid developments in Number Theory and Arithmetic in the past years. This concerns in particular smooth representation theory, Iwasawa theory, ...

Publications Mathématiques de L'IHÉS Vol. 130, 2019 online • Hellmann, Eugen; Hartl, Urs The universal family of semi-stable p-adic Galois representations. Algebra and Number Theory Vol. 14 (5), 2020 ...