Algebraicity of ratios of special L‐values for GL(n)
Abstract
Abstract We prove, under certain assumptions, the algebraicity of the ratio , where is a cuspidal automorphic cohomological unitary representation of , and , are finite‐order Hecke characters such that , and are specific positive integers which depend only on . The methods in this paper generalize those in the work of Mahnkopf [ Cohomology of arithmetic groups, parabolic subgroups and the special values of ‐functions of , J. Inst. Math. Jussieu. 4 (2005)].
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Analytic Number Theory Research
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 5
- Publication date
- 1 May 2026
- Language
- EN