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William Gerst

Publications and source records attributed to William Gerst.

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An iterative algorithm for approximating roots of integers

We explore an algorithm for approximating roots of integers, discuss its motivation and derivation, and analyze its convergence rates with varying parameters and inputs. We also perform comparisons with established methods for approximating square roots and other rational powers.

math.NA

A conjecture on the prime factorization of $n!+1$

In this paper, we state a conjecture on the prime factorization of numbers of the form $n!+1$, explore its implications, and compare it with empirical evidence and established results based on the $abc$ conjecture.

math.GM