Square-reflexive polynomials

Becher, Karim Johannes; GUPTA, PARUL

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dc.contributor.author	Becher, Karim Johannes	en_US
dc.contributor.author	GUPTA, PARUL	en_US
dc.date.accessioned	2022-04-04T08:56:45Z
dc.date.available	2022-04-04T08:56:45Z
dc.date.issued	2021-10	en_US
dc.identifier.citation	Journal of Number Theory.	en_US
dc.identifier.issn	0022-314X	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jnt.2021.09.005	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6712
dc.description.abstract	For a field E of characteristic different from 2 and cohomological 2-dimension one, quadratic forms over the rational function field are studied. A characterisation in terms of polynomials in is obtained for having that quadratic forms over satisfy a local-global principle with respect to discrete valuations that are trivial on E. In this way new elementary proofs for the local-global principle are achieved in the cases where E is finite or pseudo-algebraically closed. The study is complemented by various examples.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Quadratic form	en_US
dc.subject	Isotropy	en_US
dc.subject	Rational function field	en_US
dc.subject	Valuation	en_US
dc.subject	Local-global-principle	en_US
dc.subject	u-invariant	en_US
dc.subject	Finite field	en_US
dc.subject	Pseudo-algebraically closed field	en_US
dc.subject	Milnor K-theory	en_US
dc.subject	Ramification sequence	en_US
dc.subject	Symbol	en_US
dc.subject	Common slot	en_US
dc.subject	Strong linkage	en_US
dc.subject	Transfer	en_US
dc.subject	Hyperelliptic curve	en_US
dc.subject	2021	en_US
dc.title	Square-reflexive polynomials	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Number Theory	en_US
dc.publication.originofpublisher	Foreign	en_US