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math.NT2024
Cycle integrals of meromorphic Hilbert modular forms
Claudia Alfes, Baptiste Depouilly, Paul Kiefer +1
We establish a rationality result for linear combinations of traces of cycle integrals of certain meromorphic Hilbert modular forms. These are meromorphic counterparts to the Hilbe…
math.NT2024
Measures, modular forms, and summation formulas of Poisson type
Claudia Alfes, Paul Kiefer, Jan Mazáč
In this article, we show that Fourier eigenmeasures supported on spheres with radii given by a locally finite sequence, which we call -spherical measures, correspond to Fourier…
math.CO2024
Ehrhart polynomials, Hecke series, and affine buildings
Claudia Alfes, Joshua Maglione, Christopher Voll
Given a lattice polytope and a prime , we define a function from the set of primitive symplectic -adic lattices to the rationals that extracts the th coefficient of…