bio | website | math.byu.edu/~jenkins |
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location | Utah | |
age | 37 | |
visits | member for | 3 years, 6 months |
seen | 19 hours ago | |
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Assistant professor at BYU.
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. |
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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? |