bio | website | math.byu.edu/~jenkins |
---|---|---|
location | Utah | |
age | 38 | |
visits | member for | 4 years, 6 months |
seen | 1 hour ago | |
stats | profile views | 122 |
Associate professor at BYU.
Apr 1 |
awarded | Yearling |
Nov 12 |
answered | Asymptotic formulas for Monster-related modular functions? |
Dec 7 |
awarded | Nice Answer |
Dec 5 |
comment |
More open problems
This year's URL is math.byu.edu/~doud/WNTC.html and includes links to past problem sets. |
Nov 23 |
awarded | Enthusiast |
Nov 17 |
awarded | Autobiographer |
Oct 27 |
awarded | Supporter |
Oct 20 |
comment |
How many Hecke operators span the level 1 Hecke algebra?
$\Delta$ is the basis element $f_{12, -1}$ using the notation above, so by duality, Lehmer's conjecture is equivalent to the nonvanishing, for all positive $n$, of the coefficient of $q^{-1}$ in the weight $-10$ form $f_{-10, n} = q^{-n} + \tau(n) q^{-1} + \ldots$. Unfortunately, it doesn't seem to be easy to show that this is never zero. |
Oct 20 |
awarded | Teacher |
Oct 19 |
answered | How many Hecke operators span the level 1 Hecke algebra? |