Timeline for The vanishing of Ramanujan's Function tau(n)
Current License: CC BY-SA 2.5
2 events
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| Jul 9, 2010 at 9:24 | comment | added | Kevin Buzzard | I'll remark that Charles' observation can be used to yield fairly big lower bounds on the smallest $n$ for which $\tau(n)$ can possibly be zero. Known congruences for $\tau(n)$ modulo small powers of small primes imply that $n$ has to satisfy certain congruences if you want it to vanish. Serre's paper on lacunarity of powers of the eta function gives an explicit lower bound which is $O(10^{10})$ or so (I don't have his paper to hand). | |
| Jul 8, 2010 at 18:24 | history | answered | Charles Matthews | CC BY-SA 2.5 |