Rahul Dalal

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math.NT2026

Ramanujan Complexes from Unitary Groups over Number Fields

Rahul Dalal, Alberto MÃnguez, Jiandi Zou

In this article, we construct new families of Ramanujan complexes with local structure distinct from all previously known examples. Our approach is based on unitary groups over num…

math.NT2025

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$

Rahul Dalal, Mathilde Gerbelli-Gauthier

Let $F$ be a totally real field. We study the root numbers $I^µ (1/2, I ¨ )$ of self-dual cuspidal automorphic representations $I ¨ $ of $GL_{2 N} / F$ with conductor $n$ …

Ramanujan Complexes from Unitary Groups over Number Fields

Root Number Equidistribution for Self-Dual Automorphic Representations on GLN​

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$