Journal article
Power-free values of binary forms and the global determinant method
- Abstract:
- We give an improved estimate for the density of kk -free values of integral binary forms with no fixed kk th power divisor. Further, we give the corresponding improvement to a theorem of Stewart and Top on the number of power-free values in an interval that may be assumed by a binary form. The approach we use involves a generalization of the global determinant method of Salberger.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 492.9KB, Terms of use)
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- Publisher copy:
- 10.1093/imrn/rnw165
Authors
- Publisher:
- Oxford University Press
- Journal:
- International Mathematics Research Notices More from this journal
- Volume:
- 2017
- Issue:
- 16
- Pages:
- 5078-5135
- Publication date:
- 2016-07-27
- Acceptance date:
- 2016-07-04
- DOI:
- EISSN:
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1687-0247
- ISSN:
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1073-7928
- Pubs id:
-
pubs:693431
- UUID:
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uuid:afd5971e-0a5c-43c6-a6ed-b5bb6dcd69fb
- Local pid:
-
pubs:693431
- Source identifiers:
-
693431
- Deposit date:
-
2017-05-05
- ARK identifier:
Terms of use
- Copyright holder:
- © Xiao 2016
- Copyright date:
- 2016
- Notes:
- This is the author accepted manuscript following peer review version of the article. The final version is available online from Oxford University Press at: 10.1093/imrn/rnw165
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