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Averages of shifted convolutions of d3(n)

Published online by Cambridge University Press:  12 April 2012

S. Baier
Affiliation:
Mathematisches Institut, Universität Göttingen, Bunsenstrasse 3–5, 37073 Göttingen, Germany (sbaier@uni-math.gwdg.de)
T. D. Browning
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK (t.d.browning@bristol.ac.uk; gihan.marasingha@bristol.ac.uk)
G. Marasingha
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK (t.d.browning@bristol.ac.uk; gihan.marasingha@bristol.ac.uk)
L. Zhao
Affiliation:
Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Republic of Singapore (lzhao@pmail.ntu.edu.sg)
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Abstract

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We investigate the first and second moments of shifted convolutions of the generalized divisor function d3(n).

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2012

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