Author

S. Rout

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Preprint Oct 2026

Perfect powers with few digits and $S$-unit coefficients

In this paper, we study two questions concerning perfect powers in $S$-unit equations and sparse representations of perfect powers. Corvaja-Zannier \cite{corvaja2013finiteness} proved that there are only finitely many odd perfect powers in $\N$ having precisely four non-zero digits in their binary expansion. At first,...

N. Darsana, Parvathi S. Nair, S. Rout · 0 citations