3 papers
math.NT2026
Sums of products of Kloosterman sums to prime power moduli
Djordje Milićević, Catherine Robinson, Chloe Shupe
We prove new bounds on complete sums of products of k additively shifted Kloosterman sums to odd high prime power moduli q=p^n, which feature substantially stronger power savings (…
math.NT2025
Bilinear forms with Kloosterman sums and moments of twisted L-functions
Djordje Milićević, Xinhua Qin, Xiaosheng Wu
We establish power-saving estimates for general bilinear forms with Kloosterman sums modulo arbitrary q, including when both variables are shorter than the Polya-Vinogradov range.…
math.NT2025
The shape of quadratic Gauss paths
Justine Dell, Djordje Milićević
We consider the distribution of quadratic Gauss paths, polygonal paths joining partial sums of quadratic Gauss sums to square-free fundamental discriminant moduli in a dyadic range…