View Item 

Show simple item record

On Pairs of Diagonal Quintic Forms

dc.contributor.authorParsell, Scott T.en_US
dc.contributor.authorWooley, Trevor D.en_US
dc.date.accessioned2006-09-08T20:31:16Z
dc.date.available2006-09-08T20:31:16Z
dc.date.issued2002-03en_US
dc.identifier.citationParsell, Scott T.; Wooley, Trevor D.; (2002). "On Pairs of Diagonal Quintic Forms." Compositio Mathematica 131(1): 61-96. <http://hdl.handle.net/2027.42/42604>en_US
dc.identifier.issn0010-437Xen_US
dc.identifier.issn1570-5846en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/42604
dc.description.abstractWe demonstrate that a pair of additive quintic equations in at least 34 variables has a nontrivial integral solution, subject only to an 11-adic solubility hypothesis. This is achieved by an application of the Hardy–Littlewood method, for which we require a sharp estimate for a 33.998th moment of quintic exponential sums. We are able to employ p -adic iteration in a form that allows the estimation of such a mean value over a complete unit square, thereby providing an approach that is technically simpler than those of previous workers and flexible enough to be applied to related problems.en_US
dc.format.extent266200 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherMathematics, Generalen_US
dc.subject.otherDiophantine Equationsen_US
dc.subject.otherQuintic Formsen_US
dc.subject.otherThe Hardy–Littlewood Methoden_US
dc.titleOn Pairs of Diagonal Quintic Formsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, East Hall, 525 East University Avenue, Ann Arbor, MI, 48109-1109, U.S.A.en_US
dc.contributor.affiliationotherDepartment of Mathematics, Texas A&M University, College Station, TX, 77843-3368, U.S.A.en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/42604/1/10599_2004_Article_334960.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1023/A:1014704232631en_US
dc.identifier.sourceCompositio Mathematicaen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Name:
10599_2004_Article_334960.pdf
Size:
259.9KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.