Joni Teravainen (Oxford) - Multiplicative functions in short arithmetic progressions
| Dates: | 26 November 2019 |
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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: | Kyle Pratt |
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Join us for this research seminar, part of the Number Theory Seminar Series.
Abstract: A celebrated theorem of Matomäki and Radziwi?? states that the partial sums of a bounded multiplicative function exhibit cancellation in almost all short intervals unless the function is pretentious in a certain well-defined sense. I will discuss joint work with Oleksiy Klurman and Alexander Mangerel where we prove an analogue of this theorem that works for multiplicative functions in arithmetic progressions to very large moduli, as well as a hybrid result that works for short intervals and arithmetic progressions to large moduli simultaneously. I will also present an application of this result to Linnik-type theorems for almost primes.
Speaker
Kyle Pratt
Organisation: Oxford University
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
