Ping Xi

activity

20242026

collaborators

Showing 2026Show all

2 papers · 1 filter

math.NT2026

Short sums of the Möbius function over function fields

Etienne Fouvry, Igor E. Shparlinski, Ping Xi

We develop a new method which allows us to estimate, with a power saving, sums of the M{ö}bius function over function fields $F_{p} (X)$ . The sums run over monic polynomials…

math.NT2026

Tridimensional character sums with polynomial arguments and applications

Étienne Fouvry, Igor E. Shparlinski, Ping Xi

Let $p$ be a large prime and $χ$ a non-trivial Dirichlet character modulo $p$ . We study the character sum \[ \sum_{a \sim A} \sum_{b \sim B} \sum_{c \sim C} α(a,b) β(c)χ(f(a) + bc)…