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Shifted convolution of cusp-forms with θ-series.

Authors :
Luo, Wenzhi
Source :
Abhandlungen Aus Dem Mathematischen Seminar Der Universität Hamburg; Apr2011, Vol. 81 Issue 1, p45-53, 9p
Publication Year :
2011

Abstract

We generalize the classical Voronoi formula for and as an application, we derive a sharp bound for the shifted convolution sum convolving the Fourier coefficients of holomorphic cusp forms with those of theta series. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00255858
Volume :
81
Issue :
1
Database :
Complementary Index
Journal :
Abhandlungen Aus Dem Mathematischen Seminar Der Universität Hamburg
Publication Type :
Academic Journal
Accession number :
60822433
Full Text :
https://doi.org/10.1007/s12188-010-0046-8