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Mathematics professor at Cambridge

Feb
1
comment Why does the Riemann zeta function have non-trivial zeros?
It's precisely this issue -- why the error term in PNT isn't absolutely tiny -- that I want to understand. E.g. to prove that π(x) does not approximate $Li(x)$ to within $latex x^{1/3}$, the obvious method is to point to the zeros on the critical line. So I'm going round in circles. With the help of the functional equation one can say that if there are no zeros on or to the right of the critical line then there are none at all, but I don't count that as an intuitive argument.
Feb
1
revised Why does the Riemann zeta function have non-trivial zeros?
Added tag
Feb
1
asked Why does the Riemann zeta function have non-trivial zeros?
Jan
26
awarded  Nice Answer
Jan
23
awarded  Nice Answer
Jan
22
comment Proving “almost all matrices over C are diagonalizable”.
Or you could simply upper-triangularize your matrix and do the same.
Jan
22
answered Switching Research Fields
Jan
22
awarded  Nice Answer
Jan
21
revised A random variable: is it a function or an equivalence class of functions?
added 994 characters in body
Jan
21
answered A random variable: is it a function or an equivalence class of functions?
Jan
20
revised Experimental Mathematics
added 32 characters in body
Jan
18
answered Baire category theorem
Jan
17
answered Experimental Mathematics
Jan
16
answered Justifying a theory by a seemingly unrelated example
Jan
15
answered Nontrivial question about fibonacci numbers?
Jan
15
awarded  Nice Question
Jan
15
comment Improving a sequence of 1s and -1s
Quick question: does the set of 1s in a quasiperiodic sequence have to have a well-defined density? I keep trying to find a counterexample and I keep failing.
Jan
15
awarded  Nice Question
Jan
15
comment Has mathoverflow yet led to mathematical breakthroughs?
Apologies if I have asked the question in the wrong place -- meta isn't where it should be in my consciousness but I'll put it there now.
Jan
15
revised Improving a sequence of 1s and -1s
added 432 characters in body