COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Discrete Analysis Seminar > On a problem of J.E. Littlewood on flat polynomials

## On a problem of J.E. Littlewood on flat polynomialsAdd to your list(s) Download to your calendar using vCal - Julian Sahasrabudhe (University of Cambridge)
- Wednesday 16 October 2019, 13:45-14:45
- MR5, CMS.
If you have a question about this talk, please contact Thomas Bloom. A polynomial is said to be a Littlewood polynomial if all of its coefficients are either +1 or -1. Erdos, in 1957, asked how `flat’ such polynomials can be on the unit circle. In particular, he asked if there exist infinitely many Littlewood polynomials for which \[ c_1 \leq \frac{\max_{|z|=1} |f(z)|}{\min_{|z|=1 } |f(z)| } \leq c_2, \] where $c_1,c_2 >0 $ are absolute constants. Later, in 1966, Littlewood conjectured that such polynomials should indeed exist. In this talk I will discuss how combinatorial and probabilistic ideas can be used to resolve this conjecture. This talk is based on joint work with Paul Balister, Bela Bollobas, Rob Morris and Marius Tiba. This talk is part of the Discrete Analysis Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Discrete Analysis Seminar
- Hanchen DaDaDash
- Interested Talks
- MR5, CMS
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsBritish Society of Aesthetics Cambridge Lecture Series Department of Earth Sciences Seminars (downtown) CSC Lectures on Human Development## Other talksNutritional Psychiatry: recent advances in evidence for diet and nutrition for mental and brain health AI4ER-CEDSG group meeting "Moving away from equilibrium: from molecular interactions to transmembrane nano devices" Epigenetics in ageing and dementia Investigating the cell biology of invasive growth by the rice blast fungus Magnaporthe oryzae How do Housing Markets Respond to the Threat of Sea Level Rise? |