Gilles Felber

activity

20232026

collaborators

4 papers

math.NT2026

Counting Representations of Quadratic Forms

Gilles Felber

We answer a question of C. S. Herz about the number of integral $k \times m$ matrices $T$ such that $T^{t} T \leq R$ for a fixed positive definite $m \times m$ matrix $R$ . We give an asy…

math.NT2026

Bounds on Whittaker Functions for $GL (n)$

Gilles Felber, Dávid Tóth

We prove a new estimate on Jacquet-Whittaker function for $GL_{n} (R)$ , assuming that the Langlands parameters are purely imaginary and well-spaced. This gives an upp…

math.NT2025

Symplectic Kloosterman Sums for $Sp (2 n)$ with Powerful Moduli

Gilles Felber

We prove a non-trivial bound for $Sp (2 n)$ Kloosterman sums of moduli not equal to a prime multiple of the identity. These sums are attached to Siegel modular forms o…

math.NT2023

A Restriction Norm Problem for Siegel Modular Forms

Gilles Felber

We establish an asymptotic formula with a power-saving error of the $L^{2}$ -norm of Siegel cusp forms of degree 2 in an average sense when restricted to the imaginary axis. The resul…

Counting Representations of Quadratic Forms

Bounds on Whittaker Functions for GL(n)

Symplectic Kloosterman Sums for Sp(2n) with Powerful Moduli

A Restriction Norm Problem for Siegel Modular Forms

Bounds on Whittaker Functions for $GL (n)$

Symplectic Kloosterman Sums for $Sp (2 n)$ with Powerful Moduli