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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Sharma, Divyum | - |
| dc.date.accessioned | 2025-02-06T04:29:07Z | - |
| dc.date.available | 2025-02-06T04:29:07Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.uri | https://arxiv.org/abs/2204.12082 | - |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17238 | - |
| 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.subject | Mathematics | en_US |
| dc.subject | Number theory | en_US |
| dc.subject | Algebra | en_US |
| dc.title | Diagonalizable thue equations -- revisited | en_US |
| dc.type | Preprint | en_US |
| Appears in Collections: | Department of Mathematics | |
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