2018/09/28 by Baskar Balasubramanyam, Balasubramanyam, Baskar, Kaneenika Sinha +1
Mathematics · #11F11 #11F25 #11F41 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F11 #msc:11F25 #msc:11F41
paper · pdf · doi:10.48550/arxiv.1809.10863
18 pages
arxiv created 2018/09/28 · openalex publication_date 2018/09/28 · arxiv updated 2018/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the pair correlation statistics for sequences arising from Hecke eigenvalues with respect to spaces of primitive modular cusp forms. We derive the average pair correlation function of Hecke angles lying in small subintervals of [0,1]. The averaging is done over non-CM newforms of weight k with respect to Γ0(N). We also derive similar statistics for Hilbert modular forms and modular forms on hyperbolic 3-spaces.