Showing math.NTShow all
3 papers · 1 filter
math.NT2026
The Tetrahedral (or ) Symbol
Akshay Venkatesh, X. Griffin Wang
We will attach a scalar invariant to a tetrahedron whose edges are labelled by irreducible representations of a ternary orthogonal group over a local field. This ge…
math.NT2025
Cohomology of Fuchsian groups and Fourier interpolation
Mathilde Gerbelli-Gauthier, Akshay Venkatesh
We give a new proof of a Fourier interpolation result first proved by Radchenko-Viazovska, deriving it from a vanishing result of the first cohomology of a Fuchsian group with coef…
math.NT2024
Some Singular Examples of Relative Langlands Duality
Eric Y. Chen, Akshay Venkatesh
Relative Langlands duality structures the study of automorphic periods around a putative duality between certain group actions of Langlands dual reductive groups. In this article,…