A discrepancy result for Hilbert modular forms

Baskar Balasubramanyam, Jishu Das, Kaneenika Sinha

Let $F$ be a totally real number field and $r=[F:\mathbb{Q}].$ Let $A_k(\mathfrak{N},\omega )$ be the space of holomorphic Hilbert cusp forms with respect to $K_1(\mathfrak{N})$, of we…