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Sums of S-units in the solution sets of generalized Pell equations

2020/05/29 by L. Hajdu, Lajos Hajdu, P. Sebestyén +1
Mathematics · #Algebraic Geometry and Number Theory #Mathematics and Applications #Advanced Combinatorial Mathematics

paper · pdf · doi:10.1007/s00013-020-01480-1

Abstract

Abstract In this paper, we give various finiteness results concerning solutions of generalized Pell equations representable as sums of S -units with a fixed number of terms. In case of one term, our result is effective, while in case of more terms, we are able to bound the number of solutions.

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