Gunja Sachdeva

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20242026

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math.RT2024

On Infinitesimal $τ$ -Isospectrality of Locally Symmetric Spaces

Chandrasheel Bhagwat, Kaustabh Mondal, Gunja Sachdeva

Let $(τ, V_{τ})$ be a finite dimensional representation of a maximal compact subgroup $K$ of a connected non-compact semisimple Lie group $G$ , and let $Γ$ be a uniform torsion-free l…

math.NT2024

Algebraicity of ratios of special $L$ -values for $GL (n)$

Ankit Rai, Gunja Sachdeva

We prove, under certain assumptions, algebraicity of the ratio $L (m, Π \times χ) / L (m, Π \times χ^{'})$ , where $Π$ is a cuspidal automorphic cohomological unitary representation of $\mat…

On Infinitesimal τ-Isospectrality of Locally Symmetric Spaces

Algebraicity of ratios of special L-values for GL(n)

On Infinitesimal $τ$ -Isospectrality of Locally Symmetric Spaces

Algebraicity of ratios of special $L$ -values for $GL (n)$