2022/09/14 by Dubi Kelmer, Kelmer, Dubi, Shucheng Yu +1
Mathematics · #Advanced Mathematical Identities #Advanced Algebra and Geometry #Analytic Number Theory Research
paper · pdf · doi:10.48550/arxiv.2209.06696
In this work we give an explicit formula for the Fourier coefficients of Eisenstein series corresponding to certain arithmetic lattices acting on hyperbolic n+1-space. As a consequence we obtain results on location of all poles of these Eisenstein series as well as their supremum norms. We use this information to get new results on counting rational points on spheres.