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Sums of k-th powers and Fourier coefficients of cusp forms.

Authors :
Wei, Zhining
Source :
Ramanujan Journal; Feb2023, Vol. 60 Issue 2, p295-316, 22p
Publication Year :
2023

Abstract

In this paper, we will first establish a power saving result for the shifted convolution sums of k-th powers and the normalized Fourier coefficients of SL 2 (Z) cusp forms. Later we will generalize the result to higher rank cases. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13824090
Volume :
60
Issue :
2
Database :
Complementary Index
Journal :
Ramanujan Journal
Publication Type :
Academic Journal
Accession number :
161549104
Full Text :
https://doi.org/10.1007/s11139-022-00677-y