학술논문
Rankin-Selberg coefficients in large arithmetic progressions
Document Type
Original Paper
Source
Science China Mathematics. 66(12):2767-2778
Subject
Language
English
ISSN
1674-7283
1869-1862
1869-1862
Abstract
Let (λf (n))n⩾1 be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form f. We prove that, for any fixed η > 0, under the Ramanujan-Petersson conjecture for GL2 Maass forms, the Rankin-Selberg coefficients (λf (n)2 )n⩾1 admit a level of distribution θ = 2/5 + 1/260 − η in arithmetic progressions.