A Note on Thue Inequalities with Few Coefficients
| dc.contributor.author | Sharma, Divyum | |
| dc.date.accessioned | 2023-08-16T09:03:42Z | |
| dc.date.available | 2023-08-16T09:03:42Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | Let F(X,Y)=∑i=0saiXriYr−ri∈Z[X,Y] be a form of degree r≥3, irreducible over Q, and having at most s+1 nonzero coefficients. Mueller and Schmidt showed that the number of solutions of the Thue inequality |F(X,Y)|≤h is ≪s2h2/r(1+logh1/r) . They conjectured that s2 may be replaced by s. In this note we show some instances when s2 may be improved. | en_US |
| dc.identifier.uri | https://link.springer.com/chapter/10.1007/978-3-319-68376-8_36 | |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11443 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Thue Equations | en_US |
| dc.subject | Thue inequalities | en_US |
| dc.subject | Large, medium and small solutions | en_US |
| dc.title | A Note on Thue Inequalities with Few Coefficients | en_US |
| dc.type | Article | en_US |
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