Journal article
Flat Littlewood polynomials exist
- Abstract:
- We show that there exist absolute constants Ξ>πΏ>0 such that, for all πβ₯2, there exists a polynomial π of degree π, with coefficients in {β1,1}, such that πΏπββ€|π(π§)|β€Ξπβ for all π§ββ with |π§|=1. This confirms a conjecture of Littlewood from 1966.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
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(Preview, Accepted manuscript, 393.9KB, Terms of use)
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- Publisher copy:
- 10.4007/annals.2020.192.3.6
Authors
- Publisher:
- Mathematical Sciences Publishers
- Journal:
- Annals of Mathematics More from this journal
- Volume:
- 192
- Issue:
- 3
- Pages:
- 977-1004
- Publication date:
- 2020-11-09
- Acceptance date:
- 2020-09-17
- DOI:
- ISSN:
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0003-486X
- Language:
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English
- Keywords:
- Pubs id:
-
1131645
- Local pid:
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pubs:1131645
- Deposit date:
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2020-09-17
Terms of use
- Copyright holder:
- Department of Mathematics, Princeton University
- Copyright date:
- 2020
- Rights statement:
- Β© 2020 Department of Mathematics, Princeton University.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Mathematical Sciences Publishers at: https://doi.org/10.4007/annals.2020.192.3.6
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