Number Theory SeminarExport this event to calendar

Tuesday, March 12, 2019 — 12:30 PM EDT

Brad Rogers, Queen's University

"Integers in short intervals representable as sums of two squares"

Consider the set S of integers that can be represented as a sum of two squares. How are the elements of S distributed? In particular, how many elements fall into a random "short interval". (The definition of short interval will be given in the talk.) For very short intervals elements of S seem to be laid down at random, but I will discuss evidence that this ceases to be the case for longer short intervals. In particular, I will discuss a function field analogue of this problem and a connection to z-measures, an object first investigated in the context of asymptotic representation theory. This is joint work with O. Gorodetsky.

MC 5417

S M T W T F S
26
27
28
29
30
31
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
1
2
3
4
5
  1. 2022 (7)
    1. January (7)
  2. 2021 (135)
    1. December (11)
    2. November (22)
    3. October (15)
    4. September (5)
    5. August (15)
    6. July (17)
    7. June (15)
    8. May (1)
    9. April (4)
    10. March (11)
    11. February (9)
    12. January (10)
  3. 2020 (103)
  4. 2019 (199)
  5. 2018 (212)
  6. 2017 (281)
  7. 2016 (335)
  8. 2015 (211)
  9. 2014 (235)
  10. 2013 (251)
  11. 2012 (135)