Shifted convolution sums for GL(3)×GL(2)

Munshi, Ritabrata (2013) Shifted convolution sums for GL(3)×GL(2) Duke Mathematical Journal, 162 (13). pp. 2345-2362. ISSN 0012-7094

Full text not available from this repository.

Official URL:


For the shifted convolution sum Dh(X)=∑m=1λ1(1,m)λ2(m+h)V(m/X), where λ1(1,m) are the Fourier coefficients of an SL(3,ℤ) Maass form π1, λ2(m) are those of an SL(2,ℤ) Maass or holomorphic form π2, and 1≤∣h∣≪X1+ε, we establish the bound Dh(X)≪π12X1−1/20+ε. The bound is uniform with respect to the shift h.

Item Type:Article
Source:Copyright of this article belongs to Duke University Press.
ID Code:110823
Deposited On:31 Jan 2018 09:08
Last Modified:31 Jan 2018 09:08

Repository Staff Only: item control page