Andreas Hatziiliou

collaborators

2 papers

math.SP2025

Hearing the Sides: Recovering a Planar Rectangle from Eigenvalues

Eldar Sultanow, Andreas Hatziiliou

We present a direct, index-free method to recover the side lengths of a planar rectangle the spectrum of its Dirichelet Laplacian, assuming only access to a finite subset of eigenv…

math.NT2021

A short note on inadmissible coefficients of weight $2$ and $2 k + 1$ newforms

Malik Amir, Andreas Hatziiliou

Let $f (z) = q + \sum_{n \geq 2} a (n) q^{n}$ be a weight $k$ normalized newform with integer coefficients and trivial residual mod 2 Galois representation. We extend the results of Amir and…

Hearing the Sides: Recovering a Planar Rectangle from Eigenvalues

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

A short note on inadmissible coefficients of weight $2$ and $2 k + 1$ newforms