On quadratic fields generated by the Shanks sequence

DOI10.1017/S001309150700123XzbMath1248.11081OpenAlexW1996288591MaRDI QIDQ3643353

Florian Luca, Igor E. Shparlinski

Publication date: 11 November 2009

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309150700123x

zbMATH Keywords

character sumsquadratic fieldssquare sieve\(\mathcal{S}\)-unit equations

Mathematics Subject Classification ID

Quadratic extensions (11R11) Counting solutions of Diophantine equations (11D45) Applications of sieve methods (11N36) Estimates on character sums (11L40)

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On sparsity of representations of polynomials as linear combinations of exponential functions

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