University COVID-19 update

The University of Waterloo is constantly updating our most Frequently Asked Questions.

Questions about buildings and services? Visit the list of Modified Services.

Please note: The University of Waterloo is closed for all events until further notice.

Number Theory SeminarExport this event to calendar

Tuesday, November 12, 2019 — 1:30 PM EST

Arpita Kar, Queen's University

"Some reflections on the Riemann Hypothesis"

In this talk, we will first explore some probabilistic interpretations of the Riemann Hypothesis. In 1997, Xian-Ji Li showed that the Riemann Hypothesis holds if and only if $\lambda_n = \sum_{\rho} \left( 1 - \left(1 - {1 \over \rho}\right)^n\right), $ has $\lambda_n >0$ for $n = 1, 2, 3, ...$, where $\rho$ runs over the complex zeroes of the Riemann zeta function. In this context, we will revisit an important arithmetic formula for these $\lambda_n$-s derived by  Bombieri and Lagarias and see how we can relate it to an expression involving Laguerre polynomials. This is joint work with Prof. Ram Murty.

MC 5417

S M T W T F S
25
26
27
28
29
30
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. 2021 (35)
    1. May (1)
    2. April (4)
    3. March (11)
    4. February (9)
    5. January (10)
  2. 2020 (103)
    1. December (10)
    2. November (12)
    3. October (4)
    4. September (3)
    5. August (1)
    6. July (5)
    7. June (1)
    8. May (3)
    9. March (16)
    10. February (26)
    11. January (22)
  3. 2019 (199)
  4. 2018 (212)
  5. 2017 (281)
  6. 2016 (335)
  7. 2015 (211)
  8. 2014 (235)
  9. 2013 (251)
  10. 2012 (135)