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math.NT2023
Solvable extensions of number fields ramified at only one prime are Ostrowski
Ali Rajaei, Ehsan Shahoseini
In this note, we show that, under a certain condition, solvable extensions of number fields ramifed at only one prime are Ostrowski. As a corollary, we deduce a generalization of H…
math.NT2021
An Introduction to Perfectoid Fields
Ehsan Shahoseini, Soroush Pasandideh
This survey is a final project of Twopole DRP in fall 20201. In this paper we try to understand a tiny part of the vast theory of perfecoid spaces, called perfectoid fields. We sta…