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Diagonalizable Thue Equations -- revisited

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dc.contributor.author Sharma, Divyum
dc.date.accessioned 2023-08-16T08:50:03Z
dc.date.available 2023-08-16T08:50:03Z
dc.date.issued 2022
dc.identifier.uri https://arxiv.org/abs/2204.12082
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11438
dc.description.abstract Let r,h∈N with r≥7 and let F(x,y)∈Z[x,y] be a binary form such that F(x,y)=(αx+βy)r−(γx+δy)r, where α, β, γ and δ are algebraic constants with αδ−βγ≠0. We establish upper bounds for the number of primitive solutions to the Thue inequality 0<|F(x,y)|≤h, improving an earlier result of Siegel and of Akhtari, Saradha & Sharma. en_US
dc.language.iso en en_US
dc.publisher ARXIV en_US
dc.subject Mathematics en_US
dc.subject Thue Equations en_US
dc.title Diagonalizable Thue Equations -- revisited en_US
dc.type Article en_US


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