A fundamental and recurring problem in analytic number theory is to demonstrate the presence of cancellation in an oscillating sum, a typical example of which might be a correlation $latex \display…| What's new
William Banks, Kevin Ford, and I have just uploaded to the arXiv our paper “Large prime gaps and probabilistic models”. In this paper we introduce a random model to help understand the …| What's new
We continue the discussion of sieve theory from Notes 4, but now specialise to the case of the linear sieve in which the sieve dimension $latex {\kappa}&fg=000000$ is equal to $latex {1}&fg…| What's new
We now move away from the world of multiplicative prime number theory covered in Notes 1 and Notes 2, and enter the wider, and complementary, world of non-multiplicative prime number theory, in whi…| What's new