(MALTA)_ ISOLATION OF GRAPHS 1:04:30 Equidistribution of some families of short exponential sums 51:34 Local to global principle for higher moments of the natural density 53:01 The size function for imaginary cyclic sextic fields 45:23 Mean values of long Dirichlet polynomials 54:49 NIKA ...
Kevin Hughes What to do after Vinogradov’s Mean ValueTheorems 01:06:32 Kevin Destagnol (Paris Saclay) 57:25 Jeanine Van Order The probability that random p-adic polynomials have roots in Q 58:26 Kyle Pratt (Oxford) 01:05:00 Akhil Mathew - Shimurian generalizations of truncated Bar...
where and is a parameter (we make the quasipolynomial choice for a suitable absolute constant ). This approximant is then used for most of the argument, with relatively routine changes; for instance, an improving estimate needs to be replaced by a weighted analogue that is relatively easy to ...
To get an oracle for which , one has to be a bit sneakier, setting to be a query device for a sparse set of random (or high-complexity) strings, which are too complex to be guessed at by any deterministic polynomial-time algorithm. Unfortunately, the simple idea of the proof can be ...
Downhill running (DR) is a whole-body exercise model that is used to investigate the physiological consequences of eccentric muscle actions and/or exercise
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To get an oracle for which , one has to be a bit sneakier, setting to be a query device for a sparse set of random (or high-complexity) strings, which are too complex to be guessed at by any deterministic polynomial-time algorithm. Unfortunately, the simple idea of the proof can be ...
where are the roots of the polynomial (counting multiplicity). By the pigeonhole principle, there must therefore exist a root of such that and hence . Thus contains , and the claim follows. The constant in (iv) is completely sharp: if and is non-zero then contains the disk but avoid...
Like many other undecidability results, the proof of Theorem 2 proceeds by a sequence of reductions, in which the undecidability of one problem is shown to follow from the undecidability of another, more “expressive” problem that can be encoded inside the original problem, until one reaches a...
Unfortunately, we were not able to achieve this; however, we do have a non-trivial method to compute the parity of in such a time; a bit more generally (and oversimplifying a little bit), we can compute various projections of the prime polynomial modulo some small polynomials g. This ...