Oct 22, 2026
“Linear exponential sums over primes in short intervals”
Date: October 22, 2026 |
3:00 pm –
4:00 pm
Speaker:
Mengdi Wang, EPFL
Location: Sunstone Bldg / Ground floor / Big Seminar Room A
Language:
English
Let f denote either the Möbius function or the von Mangoldt function, and let α ∈ [0, 1]. I will discuss estimates for exponential sums of the form
∑x<n≤x+Hf(n)e(nα)
with particular emphasis on the short interval regime H<x and discuss how small H can be taken. Such estimates play a key role in studying Diophantine equations whose variables are restricted to primes in the interval [x, x + H], as well as in other arithmetic questions. This talk is based on several recent joint works with Kaisa Matomäki, Mayank Pandey, Javier Pliego, and Joni Teräväinen.
