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math.NT2025
Bianchi Modular Forms and the Rationality of Periods
Gradin Anderson, Peter Harrigan, Louisa Hoback +2
Using an explicit Eichler-Shimura-Harder isomorphism, we establish the analogue of Manin's rationality theorem for Bianchi periods and hence special values of -functions of Bian…
math.NT2025
A vertical Sato-Tate law for GL(4)
Tian An Wong
We establish a doubly-weighted vertical Sato-Tate law for GL(4) with explicit error terms. The main ingredient is an extension of the orthogonality relation for Maass cusp forms on…
math.NT2024
Zeroes of Rankin-Selberg -functions and the trace formula
Tian An Wong
We express the contribution of certain maximal parabolic Eisenstein series to the spectral side of the Arthur--Selberg trace formula for GL in terms of zeroes of Rankin--Selbe…