A Note on Thue Inequalities with Few Coefficients

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DC Field	Value	Language
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
Appears in Collections:	Department of Mathematics

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