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=1}λ_{1}(1,m)λ_{2}(m+h)V(m/X), where λ_{1}(1,m) are the Fourier coefficients of an SL(3,ℤ) Maass form π_{1}, λ_{2}(m) are those of an SL(2,ℤ) Maass or holomorphic form π_{2}, and 1≤∣h∣≪X^{1+ε}, we establish the bound Dh(X)≪_{π1,π2,ε}X^{1−1/20+ε}. The bound is uniform with respect to the shift h.

Item Type: | Article |
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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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