Munshi, Ritabrata (2013) Shifted convolution sums for GL(3)×GL(2) Duke Mathematical Journal, 162 (13). pp. 2345-2362. ISSN 0012-7094
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Official URL: https://projecteuclid.org/euclid.dmj/1381238847
Abstract
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)≪π1,π2,εX1−1/20+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 |
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