| 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.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.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.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 |