# Number Theory Seminar

Tuesday, March 21, 2023 — 10:00 AM EDT

Note: The time of this talk is different from the usual Number Theory Seminar time.

Trevor Wooley, Purdue University

"Waring's problem and Freiman's theorem"

Freiman proved that when $(k_i)$ is an increasing sequence of positive integers, then for each $j$, there exists $s = s(j)$ having the property that all large integers $n$ are represented as a sum of positive integral $k_i$-th powers (with $i\in \{ j,j + 1,...,s\}$) if and only if $1/k_1 + 1/k_2 + · · ·$ diverges. We describe recent work joint with Joerg Bruedern making Freiman's theorem effective. Some concrete examples will be described, as well as the underlying progress on Waring's problem.

Event tags

### March 2023

S M T W T F S
26
27
28
3
4
5
10
11
12
17
18
19
24
25
26
28
29
31
1
1. 2023 (103)
1. March (43)
2. February (33)
3. January (27)
2. 2022 (179)
1. December (8)
2. November (31)
3. October (24)
4. September (17)
5. August (9)
6. July (15)
7. June (14)
8. May (13)
9. April (14)
10. March (15)
11. February (12)
12. January (7)
3. 2021 (135)
4. 2020 (103)
5. 2019 (199)
6. 2018 (212)
7. 2017 (281)
8. 2016 (335)
9. 2015 (211)
10. 2014 (235)
11. 2013 (251)
12. 2012 (135)