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The number of roots of a random p-adic polynomial

Batiray, Arif (2025) The number of roots of a random p-adic polynomial. Bachelor's Thesis, Mathematics.

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Abstract

We determine the probability that a random polynomial of degree n over some complete discrete valuation ring O with a finite residue field Fq has exactly r roots in its field of fractions K.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Muller, J.S. and Lorscheid, O. and Ludtke, M.W.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 07 Apr 2025 13:46
Last Modified: 08 Apr 2025 10:39
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/34978

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