3 papers
math.NT2026
Computing sieve integrals using LattE, and the density of integers with a localized divisor
Sary Drappeau, Adrien Mounier
We consider the problem of estimating numerically integrals of the shape where is a convex polytope, $t=(t_1,\dots…
math.NT2026
Central values of additive twists of Maaà forms -functions
Sary Drappeau, Asbjørn Christian Nordentoft
In the present paper we study the central values of additive twists of Maaà forms -series. In the case of the modular group, we show that the additive twists (when averaged ove…
math.NT2025
Exponential sums over integers without large prime divisors
Sary Drappeau, Igor E. Shparlinski
We obtain a new bound on exponential sums over integers without large prime divisors, improving that of Fouvry and Tenenbaum (1991). For a fixed integer , we also obtain n…