2 papers
math.NT2025
Fourier expansions at cusps
François Brunault, Michael Neururer
In this article we study the fields generated by the Fourier coefficients of modular forms at arbitrary cusps. We prove that these fields are contained in certain cyclotomic extens…
math.NT2025
On the Borisov-Gunnells relations for products of Eisenstein series
François Brunault
Borisov and Gunnells have proved that certain linear combinations of products of Eisenstein series are Eisenstein series themselves, in analogy with the Manin relations for modular…