Number Theory SeminarExport this event to calendar

Tuesday, January 21, 2020 — 1:30 PM EST

Anup Dixit, Queen's University

"On Ihara's conjecture and the localized Erdos-Kac theorem"

As a natural generalization of the Euler-Mascheroni constant $\gamma$, Ihara introduced the Euler-Kronecker constant $\gamma_K$ attached to a number field $K$. He conjectured that for cyclotomic fields $\mathbb{Q}(\zeta_n)$, this constant is always positive. In this talk, we will discuss a connection of this conjecture with the number of small prime factors of $p-1$, for primes $p$. Motivated by this, we also establish a localized Erdos-Kac type theorem in this context.

MC 5417

S M T W T F S
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
6
  1. 2021 (101)
    1. October (14)
    2. September (5)
    3. August (15)
    4. July (17)
    5. June (15)
    6. May (1)
    7. April (4)
    8. March (11)
    9. February (9)
    10. 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)