Joni Teravainen (Oxford) - Higher order uniformity of the Möbius function
| Dates: | 18 February 2020 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | Joni Teravainen |
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Abstract : In a recent work, Matomäki, Radziwill and Tao showed that the Möbius function is discorrelated with linear exponential phases on almost all short intervals. I will discuss joint work where we generalize this result to higher order phase functions, so as a special case the Möbius function is shown not to correlate with polynomial phases on almost all short intervals. As an application, we show that the number of sign patterns that the Liouville function takes grows superpolynomially.
Speaker
Joni Teravainen
Organisation: Oxford University
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
