Ankit Rai

collaborators

2 papers

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…

math.NT2023

Tamagawa numbers of quasi-split groups over function fields

Ralf Köhl, M. M. Radhika, Ankit Rai

We use Morris' theory of Eisenstein series for reductive groups over global function fields in order to extend Harder's computation of Tamagawa numbers to quasi-split groups.

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

Tamagawa numbers of quasi-split groups over function fields

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