In his 2006 ICM invited address, Konyagin mentioned the following conjecture: if Snf stands for the n-th partial Fourier sum of f and {nj}j⊂N is a lacunary sequence, then Snjf is a.e.
The big news we should see is a brand new device that's making the conjecture circles: a stand-alone gadget for streaming video to televisions and home theater systems.
Our predicament is like that of a person who stands in the porch that leads into a very different building or structure and must conjecture what the complete or whole plan is like.
I will not stop the conjecture".
One approach is to prove the conjecture wrong.
(He'd already solved some special cases of the conjecture).
Poincaré didn't make much progress on proving the conjecture.
For his thesis, Zhang submitted a weak form of the conjecture, meaning that he attempted to prove something implied by the conjecture, rather than to prove the conjecture itself.
This proof resolved a conjecture that had been open for thirty years; mathematicians hoped that the conjecture was true but could not prove it.
Thomas [21] proved the conjecture.
