A1 Refereed original research article in a scientific journal
On the shifted convolution problem in mean
Authors: Suvitie E
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Publication year: 2012
Journal: Journal of Number Theory
Journal name in source: JOURNAL OF NUMBER THEORY
Journal acronym: J NUMBER THEORY
Number in series: 9
Volume: 132
Issue: 9
First page : 2046
Last page: 2064
Number of pages: 19
ISSN: 0022-314X
DOI: https://doi.org/10.1016/j.jnt.2012.03.007
Abstract
over the Hecke eigenvalues of a fixed non-holomorphic cusp form with quantities N >= 1, 1 <= L <= N1-epsilon and 1 <= F << N-2/5. We attain a result also for a weighted case. Furthermore, we point out that the proof yields analogous upper bounds for the shifted convolution problem over the Fourier coefficients of a fixed holomorphic cusp form in mean. (C) 2012 Elsevier Inc. All rights reserved.
over the Hecke eigenvalues of a fixed non-holomorphic cusp form with quantities N >= 1, 1 <= L <= N1-epsilon and 1 <= F << N-2/5. We attain a result also for a weighted case. Furthermore, we point out that the proof yields analogous upper bounds for the shifted convolution problem over the Fourier coefficients of a fixed holomorphic cusp form in mean. (C) 2012 Elsevier Inc. All rights reserved.
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