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1 October 2013 Shifted convolution sums for GL(3)×GL(2)
Ritabrata Munshi
Duke Math. J. 162(13): 2345-2362 (1 October 2013). DOI: 10.1215/00127094-2371416

Abstract

For the shifted convolution sum

Dh(X)=m=1λ1(1,m)λ2(m+h)V(mX),

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,εX11/20+ε.

The bound is uniform with respect to the shift h.

Citation

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Ritabrata Munshi. "Shifted convolution sums for GL(3)×GL(2)." Duke Math. J. 162 (13) 2345 - 2362, 1 October 2013. https://doi.org/10.1215/00127094-2371416

Information

Published: 1 October 2013
First available in Project Euclid: 8 October 2013

zbMATH: 1330.11033
MathSciNet: MR3127803
Digital Object Identifier: 10.1215/00127094-2371416

Subjects:
Primary: 11F66
Secondary: 11M41

Rights: Copyright © 2013 Duke University Press

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Vol.162 • No. 13 • 1 October 2013
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