Solutions of Congruences by Means of Divergent Series

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Authors

DOI:

https://doi.org/10.18311/jims/1928/17296

Abstract

It is shown in this note that if the solution, in the form of an infinite power series, of the algebraic equation f(x) = 0 with integral co-efficients, is known, we can derive the solutions (if any) of the congruence f(x)= 0 (mod. Kn) when we have solved it for the special case n = 1.