Works (1)
Updated: July 5th, 2023 15:48
2010 journal article
Efficiently Certifying Non-Integer Powers
COMPUTATIONAL COMPLEXITY, 19(3), 355–366.
author keywords: Integer roots; integer powers; linear-time algorithm; bit complexity; Chebotarev density theorem
TL;DR:
A randomized algorithm that, given an integer a, produces a certificate that the integer is not a pure power of an integer in expected (log a)1+o(1) bit operations under the assumption of the Generalized Riemann Hypothesis is described.
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Source: Web Of Science
Added: August 6, 2018