Mengdi Wang: Local Fourier uniformity of divisor functions

Speaker
Mengdi Wang, Turku

Let d_k(n) represent the k-fold divisor function, counting the ways n can be expressed as the product of k natural numbers. In this presentation, we will introduce the local uniformity of k-fold divisor functions first. Then we plan to investigate the current research on the local correlation between k-fold divisor functions and linear phase functions in very short intervals.